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Download Chapterwise McGraw Hill Mathematics Grade 4 Book Solutions PDF by simply clicking on the quick links available. Fun Learning Exercises and Engaging Activities will make it easy for primary school students to understand the concepts deeply. All you have to do is to click on the McGraw-Hill My Math Grade 4 Answer Key Chapterwise and start preparing for the exams.

• Chapter 1 Place Value
• Lesson 1 Place Value
• Lesson 2 Read and Write Multi-Digit Numbers
• Lesson 3 Compare Numbers
• Lesson 4 Order Numbers
• Lesson 5 Use Place Value to Round
• Lesson 6 Problem Solving Investigation: Use the Four-Step Plan
• McGraw Hill My Math Grade 4 Chapter 1 Check My Progress

• Chapter 2 Add and Subtract Whole Numbers
• Lesson 1 Addition Properties and Subtraction Rules
• Lesson 2 Addition and Subtraction Patterns
• Lesson 3 Add and Subtract Mentally
• Lesson 4 Estimate Sums and Differences
• Lesson 5 Add Whole Numbers
• Lesson 6 Subtract Whole Numbers
• Lesson 7 Subtract Across Zeros
• Lesson 8 Problem-Solving Investigation: Draw a Diagram
• Lesson 9 Solve Multi-Step Word Problems
• McGraw Hill My Math Grade 4 Chapter 2 Check My Progress

McGraw-Hill My Math Grade 4 Volume 1 Answers Key Chapter 3 Understand Multiplication and Division

• Chapter 3 Understand Multiplication and Division
• Lesson 1 Relate Multiplication and Division
• Lesson 2 Relate Division and Subtraction
• Lesson 3 Multiplication as Comparison
• Lesson 4 Compare to Solve Problems
• Lesson 5 Multiplication Properties and Division Rules
• Lesson 6 The Associative Property of Multiplication
• Lesson 7 Factors and Multiples
• Lesson 8 Problem-Solving Investigation: Reasonable Answers
• McGraw Hill My Math Grade 4 Chapter 3 Check My Progress

McGraw Hill My Math Volume 1 Grade 4 Answer Key Chapter 4 Multiply with One-Digit Numbers

• Chapter 4 Multiply with One-Digit Numbers
• Lesson 1 Multiples of 10, 100, and 1,000
• Lesson 2 Round to Estimate Products
• Lesson 3 Use Place Value to Multiply
• Lesson 4 Use Models to Multiply
• Lesson 5 Multiply by a Two-Digit Number
• Lesson 6 Model Regrouping
• Lesson 7 The Distributive Property
• Lesson 8 Multiply with Regrouping
• Lesson 9 Multiply by a Multi-Digit Number
• Lesson 10 Problem-Solving Investigation: Estimate or Exact Answer
• Lesson 11 Multiply Across Zeros
• McGraw Hill My Math Grade 4 Chapter 4 Check My Progress

McGraw-Hill My Math 4th Grade Volume 1 Answer Key Chapter 5 Multiply with Two-Digit Numbers

• Chapter 5 Multiply with Two-Digit Numbers
• Lesson 1 Multiply by Tens
• Lesson 2 Estimate Products
• Lesson 3 Use the Distributive Property to Multiply
• Lesson 4 Multiply by a Two-Digit Number
• Lesson 5 Solve Multi-Step Word Problems
• Lesson 6 Problem-Solving Investigation: Make a Table
• McGraw Hill My Math Grade 4 Chapter 5 Check My Progress

McGraw Hill My Math Grade 4 Volume 1 Pdf Chapter 6 Divide by a One-Digit Number

• Chapter 6 Divide by a One-Digit Number
• Lesson 1 Divide Multiples of 10, 100, and 1,000
• Lesson 2 Estimate Quotients
• Lesson 3 Use Place Value to Divide
• Lesson 4 Problem-Solving Investigation: Make a Model
• Lesson 5 Divide with Remainders
• Lesson 6 Interpret Remainders
• Lesson 7 Place the First Digit
• Lesson 8 Distributive Property and Partial Quotients
• Lesson 9 Divide Greater Numbers
• Lesson 10 Quotients with Zeros
• Lesson 11 Solve Multi-Step Word Problems
• McGraw Hill My Math Grade 4 Chapter 6 Check My Progress

McGraw-Hill My Math, Grade 4 Volume 1 Teacher Edition Chapter 7 Patterns and Sequences

• Chapter 7 Patterns and Sequences
• Lesson 1 Nonnumeric Patterns
• Lesson 2 Numeric Patterns
• Lesson 3 Sequences
• Lesson 4 Problem-Solving Investigation: Look for a Pattern
• Lesson 5 Addition and Subtraction Rules
• Lesson 6 Multiplication and Division Rules
• Lesson 7 Order of Operations
• Lesson 8 Equations with Two Operations
• Lesson 9 Equations with Multiple Operations
• McGraw Hill My Math Grade 4 Chapter 7 Check My Progress

McGraw Hill My Math Grade 4 Pdf Answer Key Chapter 8 Fractions

• Chapter 8 Fractions
• Lesson 1 Factors and Multiples
• Lesson 2 Prime and Composite Numbers
• Lesson 3 Model Equivalent Fractions
• Lesson 4 Equivalent Fractions
• Lesson 5 Simplest Form
• Lesson 6 Compare and Order Fractions
• Lesson 7 Use Benchmark Fractions to Compare and Order
• Lesson 8 Problem-Solving Investigation: Use Logical Reasoning
• Lesson 9 Mixed Numbers
• Lesson 10 Mixed Numbers and Improper Fractions
• McGraw Hill My Math Grade 4 Chapter 8 Check My Progress

McGraw Hill My Math Grade 4 Answers Chapter 9 Operations with Fractions

• Chapter 9 Operations with Fractions
• Lesson 1 Use Models to Add Like Fractions
• Lesson 2 Add Like Fractions
• Lesson 3 Use Models to Subtract Like Fractions
• Lesson 4 Subtract Like Fractions
• Lesson 5 Problem-Solving Investigation: Work Backward
• Lesson 6 Add Mixed Numbers
• Lesson 7 Subtract Mixed Numbers
• Lesson 8 Model Fractions and Multiplication
• Lesson 9 Multiply Fractions by Whole Numbers
• McGraw Hill My Math Grade 4 Chapter 9 Check My Progress

McGraw Hill My Math Grade 4 Volume 2 Pdf Chapter 10 Fractions and Decimals

• Chapter 10 Fractions and Decimals
• Lesson 1 Place Value Through Tenths and Hundredths
• Lesson 2 Tenths
• Lesson 3 Hundredths
• Lesson 4 Model Decimals and Fractions
• Lesson 5 Decimals and Fractions
• Lesson 6 Use Place Value and Models to Add
• Lesson 7 Compare and Order Decimals
• Lesson 8 Problem-Solving Investigation: Extra or Missing Information
• McGraw Hill My Math Grade 4 Chapter 10 Check My Progress

McGraw-Hill My Math, Grade 4 Volume 2 Teacher Edition Chapter 11 Customary Measurement

• Chapter 11 Customary Measurement
• Lesson 1 Customary Units of Length
• Lesson 2 Convert Customary Units of Length
• Lesson 3 Customary Units of Capacity
• Lesson 4 Convert Customary Units of Capacity
• Lesson 5 Customary Units of Weight
• Lesson 6 Convert Customary Units of Weight
• Lesson 7 Convert Units of Time
• Lesson 8 Display Measurement Data in a Line Plot
• Lesson 9 Solve Measurement Problems
• Lesson 10 Problem-Solving Investigation: Guess, Check and Revise
• McGraw Hill My Math Grade 4 Chapter 11 Check My Progress

McGraw-Hill My Math Grade 4 Volume 2 Answers Key Chapter 12 Metric Measurement

• Chapter 12 Metric Measurement
• Lesson 1 Metric Units of Length
• Lesson 2 Metric Units of Capacity
• Lesson 3 Metric Units of Mass
• Lesson 4 Problem-Solving Investigation: Make an Organized List
• Lesson 5 Convert Metric Units
• Lesson 6 Solve Measurement Problems
• McGraw Hill My Math Grade 4 Chapter 12 Check My Progress

McGraw Hill My Math Volume 2 Grade 4 Answer Key Chapter 13 Perimeter and Area

• Chapter 13 Perimeter and Area
• Lesson 1 Measure Perimeter
• Lesson 2 Problem-Solving Investigation: Solve a Simpler Problem
• Lesson 3 Model Area
• Lesson 4 Measure Area
• Lesson 5 Relate Area and Perimeter
• McGraw Hill My Math Grade 4 Chapter 13 Check My Progress

McGraw-Hill My Math 4th Grade Volume 2 Answer Key Chapter 14 Geometry

• Chapter 14 Geometry
• Lesson 1 Draw Points, Lines, and Rays
• Lesson 2 Draw Parallel and Perpendicular Lines
• Lesson 3 Model Angles
• Lesson 4 Classify Angles
• Lesson 5 Measure Angles
• Lesson 6 Draw Angles
• Lesson 7 Solve Problems with Angles
• Lesson 8 Triangles
• Lesson 10 Draw Lines of Symmetry
• Lesson 11 Problem-Solving Investigation: Make a Model
• McGraw Hill My Math Grade 4 Chapter 14 Check My Progress

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• Add Friend (5) ## Math Books - Grade 4 ## Grade 4 HMH Go Math - Answer Keys Year Published: 2015 Description: Florida Common Core Standard Practice ## Grade 4 Homework Practice FL. Year Published: 2017 Description: FL Common Core Standard Practice ## Grade 4 Homework FL. - Answer Keys ## What is Common Core The Common Core is a set of high-quality academic standards in mathematics and English language arts/literacy (ELA). These learning goals outline what a student should know and be able to do at the end of each grade. Learn more » ## What Parents Should Know Today’s students are preparing to enter a world in which colleges and businesses are demanding more than ever before. To ensure all students are ready for success after high school, the Common Core State Standards establish clear, consistent guidelines for what every student should know and be able to do in math and English language arts from kindergarten through 12th grade. ## Common core - Common mistakes Use the repeated-addition strategy to solve 5x3. If you answer the question with 5+5+5=15, you would be wrong. The correct answer is 3+3+3+3+3. Mathematically, both are correct. But under Common Core, you're supposed to read 5x3 as "five groups of three." So "three groups of five" is wrong. ## Getting started Math Practice 101 gives you a powerful, patterns-based way to learn and practice for the upcoming Common Core Standard Test ## Get more didactic materials We offer school books, library books, test and practice worksheets to help you sharpen your math skills. ## Free Online Tutor As a registered member, you have access to our online tutors that will help you with any questions you might have. ## Featured problem of the day Ashley bought 4 packages of juice boxes. There are 6 juice boxes in each package. She gave 2 juice boxes to each of 3 friends. How many juice boxes does Ashley have left? ## Common Core - Common Denominators Which of the following is a common denominator of $$\large \frac{1}{4}$$ and $$\large \frac{5}{6}$$ ## Spiral Review Christopher wrote the number pattern below. The first term is 8. 8, 6, 9, 7, 10, … Which is a rule for the pattern? • Add 2, add 3. • Add 6, subtract 3. • Subtract 6, add 3. • Subtract 2, add 3. • 4th Grade Math ## 4th Grade math worksheets with answers - Free printable resources Are you looking for some fun and effective ways to help your 4th grader practice and master math skills? Do you want to provide your child with free printable resources that include answers and explanations? If so, you've come to the right place! In this article, we'll share with you a collection of 4 th -grade math worksheets with answers that cover all the topics and standards for this grade level. You'll find worksheets for number sense, operations, algebra, geometry, measurement, data, and more. Plus, we'll give you some tips on how to choose the right worksheets for your child's needs and interests, how to use them effectively to boost their confidence and motivation, and how to make math fun and engaging with worksheets. And as a bonus, we'll also tell you where to find more of these amazing free printable resources online! So, are you ready to explore the world of 4 th -grade math worksheets with answers ? Let's get started! ## Why 4th Grade math worksheets are a great way to practice and learn Math is a crucial subject that requires constant practice and reinforcement. By the time your child reaches 4th grade, they are expected to master a variety of math concepts and skills, such as number sense, operations, fractions, decimals, geometry, measurement, data analysis , and more. These skills are essential for building a strong foundation for higher-level math and developing critical thinking and problem-solving abilities. One of the best ways to help your child practice and master math skills is by using worksheets. Let’s now see why these 4th Grade math worksheets are a great way for students to practice and learn . This is because they: • Provide structured and guided practice with clear instructions and examples • Allow your child to work at their own pace and level of difficulty • Offer immediate feedback and self-checking with answers provided • Reinforce key concepts and skills through repetition and review • Challenge your child to apply their knowledge and skills to different types of problems • Motivate your child to improve their accuracy and speed • Make math fun and interesting with colorful graphics and engaging themes ## BROWSE THE WEBSITE Download free worksheets. Number sense Subtraction Numbers Sense, Addition and Subtraction Worksheets Samples Multiplication Mixed operations Multiplication, Division, and Mixed Operations Worksheets Samples Variable expressions Coordinate plane Data and graphs Variable Experessions, Functions, Cordinate Plane, and Data Graphing Worksheets Samples Logical reasoning Patterns and sequences Logical Reasoning, Patterns and Sequences, and Money Math Worksheets Samples Units of measurement Fraction equivalence & ordering Units of Measurement, time, and Fractions Equivalence Worksheets Samples Add & subtract like fractions Add & subtract unlike fractions Multiply fractions Adding, Subtracting, and Multiplying Like and Unlike Fractions Worksheets Samples Add & subtract decimals Probability & statistics Two-dimensional shapes Decimals, Add & Subtract Decimals, Probability & Statistics, and 2D Shapes Worksheets Samples Triangles & quadrilaterals Triangles & Quadrilaterals, Symmetry, and Angles Worksheets Samples Three-dimensional shapes Geometric measurement 3D Shapes, and Geometric measurement Worksheets Samples ## Start practice on Fourth Grade here Learn more about fourth grade math, enjoy mathskills4kids fun and engaging 4th grade math worksheets with answers. Math is a crucial subject that helps children develop logical thinking, problem-solving, and reasoning skills. It also prepares them for future academic and career success. However, many children struggle with math or find it boring and frustrating. That's why providing them with plenty of practice and support is important to help them overcome their challenges and enjoy learning math. One of the best ways to do that is by using worksheets. Worksheets are great for reinforcing and reviewing math concepts, skills, and strategies. They also help children practice math in different contexts and formats, such as word problems, puzzles, games, etc. Worksheets can also help children track their progress and identify their strengths and weaknesses. But not all worksheets are created equal. Some worksheets are too easy or too hard for your child's skill level. Some worksheets are too dull or too confusing for your child's interests. Some worksheets are too long or too short for your child's attention span. And some worksheets don't provide enough feedback or guidance for your child's learning. That's why we've created this collection of MathSkills4Kids fun and engaging 4 th -grade math worksheets with answers specially designed to meet your child's needs and preferences. These worksheets are: • Aligned with the Common Core State Standards (CCSS) for 4 th -grade math • Organized by topics and subtopics for easy navigation • Varied in difficulty levels and formats to suit different abilities and learning styles • Fun and engaging to spark your child's curiosity and interest • Free and printable to save you time and money • Complete with answers and explanations to help your child check their work and learn from their mistakes ## Number sense worksheets Number sense is the ability to understand and work with numbers in various ways. It includes recognizing numbers, comparing numbers, ordering numbers, rounding numbers, estimating numbers, etc. Number sense is essential for developing fluency and accuracy in math operations. These number sense worksheets will help your 4th grader practice and improve their number sense skills by: • Reading and writing numbers up to millions in standard form, word form, expanded form , etc. • Comparing and ordering numbers up to millions using symbols (<, >, =) or words (less than, greater than, equal to) • Rounding numbers up to millions to the nearest ten, hundred, thousand , etc. • Estimating sums, differences, products, or quotients by rounding numbers or using compatible numbers • Identifying place values of digits in numbers up to millions • Using place value patterns to multiply or divide numbers by powers of ten ## Addition worksheets Addition is one of the four basic math operations that involves combining two or more numbers to get a larger number. It is also the inverse operation of subtraction. Addition is used to model situations such as joining groups, adding lengths or weights, finding totals or changes, etc. These addition worksheets will help your 4th grader practice and improve their addition skills by: • Adding two or more whole numbers up to millions with or without regrouping • Adding two or more decimals up to hundredths with or without regrouping • Adding fractions with like or unlike denominators • Adding mixed numbers with like or unlike denominators • Solving word problems involving addition of whole numbers, decimals, fractions, or mixed numbers ## Subtraction worksheets These worksheets will help your child practice subtraction with whole numbers and decimals. They include problems with regrouping, borrowing , and word problems. Your child will learn how to subtract numbers with up to four digits and how to check their answers using addition. They will also learn how to subtract decimals with different place values and how to round their answers to the nearest tenth or hundredth . ## Multiplication worksheets These worksheets will help your child master multiplication with single-digit and multi-digit factors . They include problems with arrays, area models, partial products, and standard algorithms . Your child will learn how to multiply numbers with up to four digits and how to use the distributive property and the commutative property of multiplication . They will also learn how to multiply decimals by whole numbers and by other decimals and how to estimate their answers using rounding . ## Division worksheets These worksheets will help your child practice division with whole numbers and decimals . They include problems with equal groups, repeated subtraction, long division , and word problems. Your child will learn how to divide numbers with up to four digits by one-digit or two-digit divisors and how to interpret remainders . They will also learn how to divide decimals by whole numbers and other decimals and use inverse operations to check their answers . ## Mixed operations worksheets These worksheets will help your child review and apply all four operations: addition, subtraction, multiplication, and division . They include problems with parentheses, order of operations, multi-step word problems, and mixed numbers . Your child will learn how to solve complex problems involving multiple-step operations and how to use the properties of operations to simplify expressions . They will also learn to add, subtract, multiply, and divide fractions and decimals . ## Variable expressions worksheets These worksheets will help your child practice writing and evaluating variable expressions . They include problems with numerical expressions, algebraic expressions, equivalent expressions , and word problems. Your child will learn how to write expressions using variables, constants, and coefficients and how to use the order of operations to evaluate them. They will also learn how to identify equivalent expressions using the properties of operations and how to write expressions that represent real-world situations . ## Functions worksheets These worksheets will help your child practice identifying and graphing functions . They include problems with input-output tables, function rules, function notation, and coordinate plane graphs . Your child will learn how to determine whether a relation is a function and how to write a function rule given a table or graph . They will also learn how to use function notation to evaluate functions for given values of the input variable and how to graph functions using ordered pairs . ## Coordinate plane worksheets These worksheets will help your child practice plotting points and shapes on the coordinate plane . They include problems with ordered pairs, quadrants, axes, origin, distance formula, midpoint formula, and transformations . Your child will learn how to locate points on the coordinate plane using ordered pairs of numbers and how to identify the quadrant or axis where a point lies . They will also learn how to find the distance and the midpoint between two points using formulas and how to perform translations, rotations, reflections, and dilations on shapes on the coordinate plane . ## Data and graphing worksheets These worksheets will help your child practice collecting, organizing, displaying, and interpreting data using graphs . They include problems with frequency tables, line plots, bar graphs, pictographs, line graphs, and circle graphs . Your child will learn how to create frequency tables from raw data and make line plots using fractions or decimals. They will also learn how to draw bar graphs and pictographs using scales and symbols and how to read and compare data from different types of graphs . They will also learn how to make line and circle graphs using percentages and angles and interpret trends and patterns from graphs . ## Logical reasoning worksheets These worksheets will help your child practice logical reasoning skills using math concepts . They include problems with deductive reasoning, inductive reasoning, conditional statements, converse, inverse, contrapositive, biconditional statements, truth tables, and Venn diagrams . Your child will learn how to use deductive reasoning to draw conclusions from given facts or rules and use inductive reasoning to make generalizations from specific cases or patterns. They will also learn how to write conditional statements using the “if-then” form and find the converse, inverse, contrapositive, and biconditional statements of a given conditional statement . They will also learn how to use truth tables to determine the truth value of compound statements and how to use Venn diagrams to represent sets and their relationships. ## Patterns and sequences worksheets These worksheets will help your child practice identifying and extending patterns and sequences using math concepts . They include problems with number patterns, geometric patterns, arithmetic sequences, geometric sequences, and Fibonacci sequences . Your child will learn how to find the rule or the formula that generates a pattern or a sequence and how to use it to find the missing or the next terms. They will also learn how to identify and describe geometric patterns using shapes, colors, or sizes and how to find the common difference or the common ratio of an arithmetic or a geometric sequence . They will also learn how to recognize and extend the Fibonacci sequence using addition. ## Money math worksheets These worksheets will help your child practice money math skills using U.S. currency . They include problems with counting coins and bills, making change, comparing amounts, adding and subtracting money, multiplying and dividing money , and word problems. Your child will learn to count coins and bills of different denominations and write money amounts using decimals and dollar signs . They will also learn how to make change for a given amount of money and compare money amounts using symbols or words . They will also learn how to add, subtract, multiply, and divide money amounts using decimals and how to solve word problems involving money . ## Units of measurement worksheets These worksheets will help your child practice measuring and converting units of measurement using customary and metric systems . They include problems with length, weight, capacity, time, temperature, and angle measurements. Your child will learn how to measure objects using rulers, scales, cups, clocks, thermometers, and protractors. They will also learn how to convert units of measurement within the same system or between different systems using formulas or conversion tables . They will also learn how to compare measurements using symbols or word s and how to solve word problems involving measurements . ## Telling time worksheets These worksheets will help your child practice telling time using analog and digital clocks . They include problems with reading and writing time, elapsed time, time intervals , and word problems. Your child will learn how to read time from analog clocks using hour and minute hands and from digital clocks using numbers. They will also learn to write time using words or symbols and use AM and PM notation . They will also learn how to find elapsed time between two given times and find the start or end time given the elapsed time . They will also learn how to find time intervals using calendars or schedules and how to solve word problems involving time . ## Fraction equivalence and ordering worksheets These worksheets will help your child practice finding equivalent fractions and ordering fractions . They include problems with fraction models, fraction strips, number lines, simplifying fractions, comparing fractions, and word problems. Your child will learn how to use fraction models such as circles or rectangles to show equivalent fractions and how to use fraction strips or number lines to compare fractions. They will also learn how to simplify fractions by finding the greatest common factor (GCF) of the numerator and the denominator and how to use symbols or words to compare fractions. They will also learn how to order fractions from least to greatest or from greatest to least by finding a common denominator or by converting them into decimals . ## Adding and subtracting fractions with like denominators worksheets These worksheets will help your child practice adding and subtracting fractions with like denominators. They include problems with fraction models, fraction strips, number lines, simplifying fractions , and word problems. Your child will learn how to use fraction models such as circles or rectangles to show adding or subtracting fractions with like denominators and how to use fraction strips or number lines to visualize adding or subtracting fractions with like denominators . They will also learn how to add or subtract fractions with like denominators by adding or subtracting the numerators and keeping the same denominator and how to simplify the resulting fraction by finding the greatest common factor (GCF) of the numerator and the denominator. They will also learn how to solve word problems involving adding or subtracting fractions with like denominators. ## Adding and subtracting fractions with unlike denominators worksheets These worksheets will help your child practice adding and subtracting fractions with unlike denominators . They include problems with fraction models, fraction strips, number lines, finding common denominators, simplifying fractions , and word problems. Your child will learn how to use fraction models such as circles or rectangles to show adding or subtracting fractions with unlike denominators and how to use fraction strips or number lines to compare fractions with unlike denominators. They will also learn how to add or subtract fractions with unlike denominators by finding a common denominator using the least common multiple (LCM) of the original denominators and then adding or subtracting the equivalent fractions with the same denominator . They will also learn how to simplify the resulting fraction by finding the greatest common factor (GCF) of the numerator and the denominator. They will also learn how to solve word problems involving adding or subtracting fractions with unlike denominators . ## Multiplying fractions worksheets These worksheets will help your child practice multiplying fractions by whole numbers, fractions by fractions, and mixed numbers by mixed numbers . They will also learn how to simplify the products and convert improper fractions to mixed numbers . Multiplying fractions is an important skill that will prepare your child for more advanced topics such as ratios, proportions, and algebra. ## Decimals worksheets Decimals are another way of writing fractions with powers of ten as the denominator. These worksheets will help your child understand the place value of decimals, compare and order decimals, and round decimals to the nearest whole number, tenth, or hundredth . They will also learn how to convert fractions to decimals and vice versa. ## Adding and subtracting decimals worksheets These worksheets will help your child practice adding and subtracting decimals with up to two decimal places . They will learn how to align the decimal points, add or subtract the digits, and adjust the decimal point in the answer . They will also solve word problems involving decimal addition and subtraction . ## Probability and statistics worksheets These worksheets will introduce your child to the concepts of probability and statistics. They will learn how to collect, organize, display, and interpret data using tables, charts, graphs, and diagrams. They will also learn how to calculate a data set's mean, median, mode, and range and how to find the probability of simple events . ## 2D shapes worksheets These worksheets will help your child identify, classify, compare, and measure 2D shapes such as circles, triangles, quadrilaterals, polygons, and more. They will learn the properties of different shapes, such as the number of sides, angles, vertices, and lines of symmetry. They will also learn how to find the perimeter and area of various shapes . ## Triangles and quadrilaterals worksheets These worksheets will focus on two special types of 2D shapes: triangles and quadrilaterals . Your child will learn how to recognize and name different types of triangles (such as equilateral, isosceles, scalene, right, acute, and obtuse) and quadrilaterals (such as square, rectangle, rhombus, parallelogram, trapezoid, and kite). They will also learn to find these shapes’ missing angles and sides using formulas and properties . ## Symmetry worksheets These worksheets will help your child explore the concept of symmetry in geometry . They will learn how to identify lines of symmetry in 2D shapes, draw symmetrical figures, and complete symmetrical patterns . They will also learn about rotational symmetry and how to rotate shapes around a point . ## 3D shapes worksheets These worksheets will help your child identify, classify, compare, and measure 3D shapes such as cubes, prisms, pyramids, cones, cylinders, spheres , and more. They will learn the properties of different shapes , such as the number of faces, edges, vertices, bases, and lateral faces. They will also learn how to find the surface area and volume of various shapes . ## Geometric measurement worksheets These worksheets will help your child practice measuring angles using a protractor and measuring lengths using a ruler . They will also learn how to use formulas to find the circumference and area of circles . They will apply their skills to solve word problems involving geometric measurement . ## How to choose the right worksheets for your child's skill level and interests Not all worksheets are created equal. Some may be too easy or too hard for your child's current level of understanding. Some may be too boring or too challenging for your child's interests. To choose the right worksheets for your child's skill level and interests , you should consider the following factors: • The learning objectives : What specific skills or concepts do you want your child to master? Choose worksheets that align with these objectives and provide clear instructions and examples. • The difficulty level : How confident is your child in solving math problems? Choose worksheets that match your child's ability level and provide enough practice without overwhelming them. • The format : How does your child prefer to learn? Choose worksheets that suit your child's learning style and preferences. For example, some children may like colorful pictures and fun themes; others may prefer plain text and realistic scenarios. • The feedback : How does your child know if they are doing well or need more help? Choose worksheets that provide answers and explanations for each problem so your child can check their work and learn from their mistakes. ## How to use 4 th grade Mathskills4kid’s worksheets with answers effectively to boost your child's confidence and motivation Worksheets are not meant to replace teaching or learning but to supplement them. To use 4th grade Mathskills4kid’s worksheets effectively to boost your child's confidence and motivation in math, you should follow these tips: • Set a goal : Before starting any 4th-grade Mathskills4kids worksheet session with your child, set a clear goal for what you want them to achieve. For example: "Today, we will practice multiplying fractions by fractions and simplifying the answers." • Review the concepts : Before giving your child a worksheet, review the concepts and skills they need to know. For example: "Do you remember how to multiply fractions by fractions? What do you need to do first? What do you need to do next?" • Monitor the progress : As your child works on the worksheet, monitor their progress and provide guidance and encouragement. For example: "You are doing great! I like how you simplified the fractions before multiplying them. Can you explain to me how you got this answer?" • Celebrate the success : After your child finishes the worksheet, celebrate their success and praise their effort. For example: "You did it! You completed the worksheet and got all the answers right. You are amazing at multiplying fractions!" ## Tips and tricks to make math fun and engaging with worksheets Worksheets don't have to be boring or tedious. You can make math fun and engaging with worksheets by using these tips and tricks : You can set a timer and see how many problems your child can solve in a given time; you can give your child points or stickers for each correct answer; you can create a bingo card or a crossword puzzle with the answers; or you can play tic-tac-toe or hangman with the problems. You can use sports scores, movie tickets, or recipes as examples of decimals; you can use coins, bills, or shopping lists as examples of money math; or you can use maps, landmarks, or directions as examples of coordinate planes. • Make it creative : You can make any worksheet more creative and fun by adding some elements of art, music, or storytelling. For example, you can ask your child to draw or color the shapes they are learning; you can ask your child to write or sing a song about the math concept they are practicing; or you can ask your child to create or act out a story that involves the math problem they are solving. ## Bonus: Where to find more free printable resources with answers and explanations for 4th grade online If you are looking for more free printable resources with answers and explanations for 4th grade online , you are in luck! There are many websites that offer high-quality and engaging math worksheets for 4th graders. Here are some of them: • Math Worksheets 4 Kids ( https://www.mathworksheets4kids.com/grade4.php ): This website offers a variety of math worksheets for 4th grade covering all the topics in the curriculum. You can also find games, quizzes, charts, flashcards, and more. • Math Salamanders ( https://www.math-salamanders.com/free-4th-grade-math-worksheets.html ): This website offers a range of math worksheets for 4th grade with different levels of difficulty. You can also find puzzles, challenges, riddles, and more. • K5 Learning ( https://www.k5learning.com/free-math-worksheets/fourth-grade-4 ): This website offers free math worksheets for 4th grade that are aligned with the Common Core Standards. You can also find online lessons, videos, assessments, and more. • com ( https://www.education.com/worksheets/fourth-grade/math/ ): This website offers free math worksheets for 4th grade that are fun and interactive. You can also find games, activities, projects, and more. 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Read More Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site. • For Parents • For Teachers • Teaching Topics • Kindergarten • EM3/CCSS at Home • Family Letters • Student Gallery • Understanding EM • Algorithms/ Computation • Student Links ## EM4 at Home Multiplication and geometry. Everyday Mathematics for Parents: What You Need to Know to Help Your Child Succeed The University of Chicago School Mathematics Project University of Chicago Press Learn more >> ## Related Links Help with algorithms. Access video tutorials, practice exercises, and information on the research basis and development of various algorithms. ## Everyday Mathematics Online With a login provided by your child's teacher, access resources to help your child with homework or brush up on your math skills. ## Parent Connections on Publisher's site McGraw-Hill Education offers many resources for parents, including tips, activities, and helpful links. ## Parent Resources on EverydayMath.com EverydayMath.com features activity ideas, literature lists, and family resources for the EM curriculum. ## Understanding Everyday Mathematics for Parents Learn more about the EM curriculum and how to assist your child. Online Math Class Mr. Math Blog Thanks for your donation! ​Every little bit helps me help you! :-) Please Donate, if you're a regular! The donate link is below. Thanks so much!! ## Multiply by Tens - Lesson 3.1 Estimate Products - Lesson 3.2 Area Models and Partial Products - Lesson 3.3 Multiply Using Partial Products - Lesson 3.4 Multiply with Regrouping - Lesson 3.5 Choose a Multiplication Method - Lesson 3.6 Problem Solving - Multiply 2-Digit Numbers - Lesson 3.7 ## Multiplication Comparing Using Algebra - Lesson 2.1 Comparison Problems - Section 2.2 Multiply Tens, Hundreds & Thousands - Lesson 2.3 Estimate Products - Lesson 2.4 Multiply with the Distributive Property - Lesson 2.5 Multiply Using Expanded Form - Lesson 2.6 Multiply Using Partial Products - Lesson 2.7 Multiply Using Mental Math - Lesson 2.8 Problem Solving With Multistep Multiplication - Lesson 2.9 Multiply 2-Digit Numbers With Regrouping - Lesson 2.10 Multiply 3 and 4-Digit Numbers With Regrouping - Lesson 2.11 Solve Multistep Problems Using Equations - Lesson 2.12 ## Lines, Rays, and Angles - Lesson 10.1 Classify Triangles - Lesson 10.2 Parallel and Perpendicular Lines - Lesson 10.3 ## Classify Quadrilaterals - Lesson 10.4 Line symmetry - lesson 10.5, find and draw lines of symmetry - lesson 10.6, problem solving: shape patterns - lesson 10.7 , relate tenths and decimals - lesson 9.1. Relate Hundredths and Decimals - Lesson 9.2 Equivalent Fractions and Decimals - Lesson 9.3 Relate Fractions, Decimals, and Money - Lesson 9.4 Problem Solving With Money - Lesson 9.5 Add Fractional Parts of 10 and 100 - Lesson 9.6 Compare Decimals - Lesson 9.7 ## Add & Subtract Parts of a Whole - Section 7.1 Write Fractions as Sums - Section 7.2 Adding Fractions Using Models - Section 7.3 Subtract Fractions Using Models - Section 7.4 Add and Subtract Fractions - Section 7.5 Rename Fractions and Mixed Numbers - Section 7.6 Add & Subtract Mixed Numbers - Section 7.7 Subtraction with Renaming - Section 7.8 Fractions and Properties of Addition - Section 7.9 Problem Solving Using Multistep Fractions - Section 7.10 Chapter 7 Test Review on Add and Subtract Fractions ## Equivalent Fractions - Section 6.1 Gener ate Equivalent Fractions - Section 6.2 Fractions in Simplest Form - Section 6.3 Common Denominators - Section 6.4 Problem Solving With Equivalent Fractions - Section 6.5 Compare Fractions - Section 6.6 More Comparing Fractions - Section 6.7 Compare and Order Fractions - Section 6.8 Chapter 6 Review on Fraction Equivalence and Comparison ## Modeling Factors of Numbers - Section 5.1 Factors and Divisibility - Section 5.2 Problem Solving With Common Factors - Section 5.3 Factors and Multiples - Section 5.4 Prime and Composite Numbers - Section 5.5 Number Patterns - Lesson 5.6 Review For Test on Chapter 5; Factors, Multiples, and Patterns ## Estimate Quotients Using Multiples - Lesson 4.1 Remainders - Lesson 4.2 Interpret the Remainder - Lesson 4.3 Divide Tens, Hundreds, and Thousands - Lesson 4.4 Estimate Quotients Using Compatible Numbers - Lesson 4.5 Division and the Distributive Property - Lesson 4.6 Divide Using Repeated Subtraction - Lesson 4.7 ## Divide 3 Digits by 1 Using Partial Quotients - Section 4.8 Divide 3 Digits by 1 With Regrouping - Section 4.9 Divide 3 Digits by 1 Using Place Value - Section 4.10 Divide By 1 Digit Numbers Using Place Value - Section 4.11 Multi-Step Problem Solving with Whole Numbers-Section 4.12 Fourth Grade • AP Calculus • AP Statistics • Independent Study • Second Grade Math • Third Grade Math • Fourth Grade Math • Fifth Grade Math • Sixth Grade Math • Sixth Grade Math (CA) • Seventh Grade Math (CA) • Eighth Grade Math (CA) • Integrated Math 1 • Integrated Math 2 • Integrated Math 3 • PreCalculus • AP Statistics Exam Prep • Elementary Statistics • ELM Practice • Percents and Decimals • Sixth Grade Math (Big Ideas) Perimeter - Lesson 13.1 Area - Lesson 13.2 Area of Combined Rectangles - Lesson 13.3 Find Unknown Measures - Lesson 13.4 Problem Solving - Find the Area - Lesson 13.5 Angles and Fractional Parts of a Circle - Lesson 11.1 Degrees - Lesson 11.2 Measure and Draw Angles - Lesson 11.3 Joint and Separate Angles - Lesson 11.4 Problem Solving: Unknown Angle Measures - Lesson 11.5 Measurement Benchmarks - Lesson 12.1 Customary Units of Length - Lesson 12.2 Customary Units of Weight - Lesson 12.3 Customary Units of Liquid Volume - Lesson 12.4 Line Plots - Lesson 12.5 ## Show What You Know (Pre-Chapter 1) Vocabularly Builder (Pre-Chapter 1) Model Place Value Relationship - Lesson 1.1 Read and Write Numbers - Lesson 1.2 Compare and Order Numbers - Lesson 1. 3 Rounding Numbers - Lesson 1.4 Renaming Numbers - Lesson 1.5 Adding Whole Numbers - Lesson 1.6 Subtracting Whole Numbers - Lesson 1.7 Problem Solving - Lesson 1.8 ## Multiples of Unit Fractions - Lesson 8.1 Multiples of Fractions - Lesson 8.2 Multiply Fractions by Whole Numbers - Lesson 8.3 Multiply Fractions and Mixed Numbers by Whole Numbers 8 4 Comparison Problem Solving with Fractions - Lesson 8.5 Copyright 2013. All rights reserved. ## Big Ideas Math Answers Grade 4 Chapter 2 Add and Subtract Multi-Digit Numbers The basics must be strong to grow with perfect knowledge. Students need to learn the math basics strongly to become a master in maths. Big Ideas Math Answers Grade 4 Chapter 2 Add and Subtract Multi-Digit Numbers is the best reference to make your student’s basics strong. The Big Ideas Grade 4 Chapter 2 Add and Subtract Multi-Digit Numbers Math Answers will help your students to achieve their dreams of learning maths with simple methods. From the fundamentals of Add and Subtract Multi-Digit Numbers to difficult problems, all are given on this page. ## Big Ideas 4th Grade Chapter 2 Add and Subtract Multi-Digit Numbers Math Book Answer Key Check out the Big Ideas Math Answers Grade 4 Chapter 2 Add and Subtract Multi-Digit Numbers links provided in the below section to begin your preparation. We have given a detailed explanation for each and every problem for your better understanding. So, make use of every given link and try to score the best marks in the exams. The basics mentioned here will not only help you in the exam but also in real life. Be the first to learn the best of math topics by referring to bigideasmathanswer.com Lesson: 1 Estimate Sum and Differences Lesson 2.1 Estimate Sum and Differences Estimate Sum and Differences Homework & Practice 2.1 Lesson: 2 Add Multi-Digit Numbers Lesson 2.2 Add Multi-Digit Numbers Add Multi-Digit Numbers Homework & Practice 2.2 Lesson: 3 Subtract Multi-Digit Numbers Lesson 2.3 Subtract Multi-Digit Numbers Subtract Multi-Digit Numbers Homework & Practice 2.3 Lesson: 4 Use Strategies to Add and Subtract Lesson 2.4 Use Strategies to Add and Subtract Use Strategies to Add and Subtract Homework & Practice 2.4 Lesson: 5 Problem Solving: Addition and Subtraction Lesson 2.5 Problem Solving: Addition and Subtraction Problem Solving: Addition and Subtraction Homework & Practice 2.5 Performance Task Add and Subtract Multi-Digit Numbers Performance Task Add and Subtract Multi-Digit Numbers Activity Add and Subtract Multi-Digit Numbers Chapter Practice ## Lesson 2.1 Estimate Sum and Differences Explore and Grow Estimate to find each sum by rounding to the nearest thousand, hundred, or ten. Explain why you chose to round to that place value. A football team had 917 spectators at their first game and 872 at their second game. About how many spectators did the team have at both games? Answer: The answer is 1789. Explanation: Number of spectators in First game: 917 Number of spectators in First game: 872 To get the number of spectators in both the games, we have to add the number of spectators in first game and second game. That means, 917 + 872 = 1789. A company budgets1,800 for a company picnic. They spend $917 on the location and$872 on food. Did they stay within their budget?

Answer: Yes, they can stay within their budget.

Explanation: Total budget: $1,800 Spend for location:$917 Spend for food: $872 Total spend = spend for location + spend for food. That means, total spend =$917 + $872 =$1789. Balance budget = Total budget – Total spend That means, Balance budget: $1800 –$1789 = $11 As, the total spend for the company picnic is lesser than the company budget, they can stay within the budget. Reasoning Explain why you may choose to round to different place values in different situations. Answer: We here round the values to the nearest thousands value. For 68,451 the nearest thousands value is 68,000. For 40,695 the nearest thousands value is 41,000. 68,000 – 41,000 = 27,000. So, the estimate of the difference of 68,451 and 40,695 by rounding to the nearest thousands value is 27,000. Answer: We here round the values to the nearest thousands value. For 34,685 the nearest thousands value is 35,000. For 27,043 the nearest thousands value is 27,000. 35,000 + 27,000 = 62,000. So, the estimate of the sum of 34,685 and 27,043 by rounding to the nearest thousands value is 62,000. Answer: We here round the values to the nearest ten thousands value. For 908,465 the nearest ten thousands value is 910,000. For 653,629 the nearest ten thousands value is 650,000. 910,000 – 650,000 = 260,000. So, the estimate of the difference of 908,465 and 653,299 by rounding to the nearest ten thousands value is 260,000. Answer: We here round the values to the nearest ten thousands value. For 478,633 the nearest ten thousands value is 480,000. For 200,081 the nearest ten thousands value is 200,000. 480,000 + 200,000 = 680,000. So, the estimate of the sum of 478,633 and 200,081 by rounding to the nearest ten thousands value is 680,000. Answer: For 563,427 the nearest ten thousands value is 560,000. For 178,023 the nearest ten thousands value is 180,000. 560,000 + 180,000 = 740,000. So, the estimate of the sum of 563,427 and 178,023 by rounding to the nearest ten thousands value is 740,000. Question 11. 888,056 – 423,985 = _______ Answer: We here round the values to the nearest ten thousands value. For 888,056 the nearest ten thousands value is 890,000. For 423,985 the nearest ten thousands value is 420,000. 890,000 – 420,000 = 472,000. So, the estimate of the difference of 888,056 and 423,985 by rounding to the nearest ten thousands value is 470,000. Question 12. 713,642 + 49,018 = ______ Answer: We here round the values to the nearest thousands value. For 713,642 the nearest thousands value is 714,000. For 49,018 the nearest thousands value is 49,000. 714,000 + 49,000 = 763,000. So, the estimate of the sum of 713,642 and 49,018 by rounding to the nearest thousands value is 763,000. Question 13. DIG DEEPER! Is 20,549 + 9,562 greater than or less than 30,000? Explain how you know without finding the exact sum. Answer: We will solve this using round to estimates. For 20,549 the nearest hundreds value is 20,500. For 9,562 the nearby smaller hundreds value is 9,500. 20,500 + 9,500 = 30,000. The estimate sum is 30,000. We still have the values of 49 and 62 in both the values. So, the value of the sum of 20,549 and 9,562 is greater than 30,000. Question 14. Writing Describe a real-life situation in which estimation would not be appropriate to use. Question 17. An educational video has 6,129 fewer views than a gaming video. The educational video has 483,056 views. About how many views does the gaming video have? Answer: Here, it is given that the educational video has 6,129 fewer views than the gaming video. That means, Gaming Video views – 6,129 = Educational video views. Or Gaming video views = Educational video views + 6,129. Given educational video views = 483,056 Therefore, Gaming video views = 483,056 + 6,129 = 489,185. So, the number of gaming video views = 489,185. ## Estimate Sum and Differences Homework & Practice 2.1 Estimate the sum or difference. Answer: Round the values to the nearest hundreds values. For 5,608 the nearest hundreds value is 5,600. For 3,217, the nearest hundreds value is 3,200. Question 9. 864,733 – 399,608 = ______ Answer: Round the values to the nearest ten thousands values. 864,733: 860,000 399,608: 400,000 860,000 – 400,000 = 460,000 Question 10. 134,034 + 26,987 = ______ Answer: Round the values to the nearest thousands values. 134,034: 134,000 26,987: 27,000 134,000 + 27,000 = 161,000 Answer: Round off all the given values to their nearest ten thousand value. 690,000 – 70,000 = 620,000 890,000 – 270,000 = 620,000 680,000 – 50,000 = 630,000 700,000 – 80,000 = 620,000. So, Descartes could have estimated problems 1,2 and 4 and all the three give the estimated difference of 620,000. Question 12. Reasoning When might you estimate the difference of 603,476 and 335,291 to the nearest hundred? to the nearest hundred thousand? Answer: When the precision of the difference value should be in hundreds, then round the values to hundred and calculate the difference. 603,476: 603,500 & 335,291: 335,300 603,500 – 335,300 = 268,200. When the precision of the difference value should be in thousands, then round the values to thousands and calculate the difference. 603,476: 603,000 & 335,291: 335,000 603,000 – 335,000 = 268,000 Answer: Homes without power on east side: 23,890 Homes without power on west side: 18,370 Round the values to the nearest thousands value. So, homes without power on east side = 24,000 and homes without power on west side = 18,000. Total homes without power = 24,000 + 18,000 = 42,000 Therefore, total estimate of homes without power due to storm are 42,000. Answer: Round the number of steps to the nearest hundreds value. Number of steps I walked, 5,682 rounding it to the nearest hundreds value = 5,700 Number of steps teacher walked additional more than me, 4,219 rounding it to the nearest hundreds value = 4,200 Total number of steps teacher walked = Number of steps I walked + additional number of steps teacher walked. Therefore total number of steps teacher walked = 5,700 + 4,200 = 9,900. Review & Refresh Find the product. Question 15. 3 × 3 × 2 = ______ Answer: Break the multiplication into steps as follows: (3 X 3) x 2 = 9 x 2 =18 Question 16. 2 × 4 × 7 = ______ Answer: Break the multiplication into steps as follows: 2 X (4 X 7) = 2 X 28 = 56 Question 17. 3 × 3 × 5 = ______ Answer: Break the multiplication into steps as follows: (3 X 3) X 5 = 9 X 5 = 45. Question 18. 6 × 2 × 3 = ______ Answer: Break the multiplication into steps as follows: 6 X (2 X 3) =6 X 6 = 36. Question 19. 4 × 9 × 2 = ______ Answer: Break the multiplication into steps as follows: 4 X (9 X 2) = 4 X 18 = 72 Question 20. 4 × 10 × 2 = ______ Answer: Break the multiplication into steps as follows: 4 X (10 X 2) = 4 X 20 = 80. ## Lesson 2.2 Add Multi-Digit Numbers Answer: The first option shows the correct way. Explanation: As per place value rule, a units digit always should be added to the units digit of the other number. Similarly, tens digit value to the other number’s tens digit value and the hundreds digit value. First option maintains the rule correctly pointing 8 under 3, both which are units values. Similarly, 4 under 0 and 2 under 8. The second option started the sum from the left, which means, adding thousands digit value of 1,248 to the hundreds digit value of 403. Reasoning Why do you need to use place value when adding? Explain. Question 9. Estimate: ______ 246,890 + 13,579 = ______ Question 10. Estimate: ______ 822,450 + 8,651 = _______ Question 15. There were 51,787 more people who rode the city buses on Saturday than on Sunday. On Sunday, 174,057 people rode the buses. How many people rode the buses on Saturday? Question 16. The deepest part of the Atlantic Ocean is 8,577 feet shallower than the deepest part of the Pacific Ocean. The deepest part of the Atlantic Ocean is 27,493 feet deep. How deep is the deepest part of the Pacific Ocean? ## Add Multi-Digit Numbers Homework & Practice 2.2 Find the sum. Check whether your answer is reasonable Question 7. Estimate: ______ 547,795 + 9,418 = ______ Question 8. Estimate: ______ 401,269 + 58,135 = ______ Question 10. Writing Write a word problem that can be solved by finding the sum of 75,629 and 23,548. Answer: A purchases a house worth$23,548 more than the house purchased by B. House purchased by B is worth $75,629. Find the worth of the house purchased by A. Worth of house purchased by A = Worth of house purchased by B +$23,548 Worth of house purchased by A = $75,629 +$23,548 Therefore, worth of house purchased by A = $99,177. Answer: Food samples made by Chef A = 1,346. Food samples made by Chef B = 1,084. Total food samples made = Food samples made by Chef A + Chef B. So, total food samples made = 1,346+1,084 = 2,430. Total food samples required = 2,500. The total food samples made are lesser than the required number of food samples. So, the chefs A & B didn’t make enough food samples. Answer: Given, Cost of House A = Cost of House B –$24,450. So, Cost of House B = Cost of House A + $24,450. Therefore, Cost of House B =$175,500 + $24,450 =$ 199,950. Review & Refresh Find the quotient.

Question 13. 6 ÷ 2 = ______

Question 14. 24 ÷ 4 = ______

Question 15. 32 ÷ 8 = ______

Question 16. 14 ÷ 7 = ______

## Lesson 2.3 Subtract Multi-Digit Numbers

Answer: Second one shows the correct way to find the subtraction because it follows the place value rule by subtracting the units, tens and hundreds digit values of second number from the units, tens and hundreds digit values of the first number respectively. Reasoning Why do you need to use place value when subtracting? Explain.

Question 11. 281,660 – 44,521 = ______

Question 12. 798,400 – 5,603 = ______

Question 15. Number Sense Which statements describe the difference of 32,064 and 14,950? The difference is about 17,000. The difference is less than 17,000. The difference is greater than 17,000. The difference is 17,000.

Question 17. Last year, an amusement park had 770,495 more guests than a water park. The attendance at the amusement park was 875,562 guests. What was the attendance at the water park?

## Subtract Multi-Digit Numbers Homework & Practice 2.3

Question 7. 319,120 – 278,188 = _______

Question 8. 312,396 – 23,891 = ______

Question 9. Writing Write and solve a subtraction word problem using the numbers 34,508 and 8,529.

Question 10. Modeling Real Life How many years after the first cell phone was invented was the smartphone invented?

Answer: 15 square meter. Explanation: Given, one block = 1 square meter. Total number of blocks highlighted = 15. Therefore, total area = 15 square meters.

Answer: 11 square inch Explanation: Given, one block = 1 square inch. Total number of blocks highlighted = 11. Therefore, total area = 11 square inch.

## Lesson 2.4 Use Strategies to Add and Subtract

Answer: 64996 For the given numbers, 54,000 and 10,996 we have to apply compensation strategy. Add 4 to 10,996 to round it to the nearest thousands value. 10,996 + 4 = 11,000. 54,000 – 11,000 = 43,000. Now subtract 4 from the result. 43,4000 – 4 = 42,996. Therefore,54,000 – 10,996 = 42,996. Reasoning Explain why you chose your strategies. Compare your strategies to your partner’s strategies. How are they the same or different?

Answer: We will use compensation strategy to find the difference. 7,008 – 8 = 7,000. 9,318 – 7,000 = 2,318. 2,318 – 8 = 2,310. Therefore, 9,318 – 7,008 = 2,310. Apply and Grow: Practice Find the sum or difference. Then check your answer.

Answer: 11,063 Use compensation strategy to solve this: Add 40 to 91,803. 91,803 + 40 = 91,843 91,843 – 80,740 = 11,103. Now subtract 60 from the result. 11,103 – 40 = 11,063.

Question 9. 780,649 – 13,754 = ______

Question 10. 417,890 + 90,284 = ______

Question 11. 614,008 + 283,192 = ______

Question 12. 801,640 – 206,427 = ______

Answer: No, the students fell short by 19. Number of cans recycled = 40,118. Number of bottles recycled = 9,863 Total recycled = 40,118 + 9,863 = 49,981. Students planned number for recycling = 50,000. Shortage = 50,000 – 49,981 = 19. The students fell short by 19 cans or bottles to recycle.

## Use Strategies to Add and Subtract Homework & Practice 2.4

Answer: 3,030 Use compensation method to subtract. Subtract 30 from the first number to make it’s hundreds tens and units digits same those of the second number.. 7,683 – 30 = 7,653. Now subtract the second number from the result. 7,653 – 4,683 = 3,000 Now add 30 which was subtracted in the beginning to the result again to compensate. 3,000 + 20 = 3,030.

Answer: 25,801 Use compensation method to add the numbers. We, here can see both the numbers are near to their nearest hundreds. The first number is 12 greater than its nearest hundreds value and the second is 11 lesser than its nearest hundreds value. Subtract 11 from the first number and add 11 to the second number. Adding and subtracting compensates the net value. 18,212 – 11 = 18,201. 7,589 + 11 = 7,600. Now add both the results. 18,201 + 7,600 = 25,801.

Answer: 7,625 Use compensation method to do the subtraction. Subtract 25 from the first number to make the tens and units digits same those of the second number. 9,800 – 25 = 9,775. Now subtract the second number from the result. 9,775 – 2,175 = 7,600. Now add 25 to the result which was subtracted initially to compensate. 7,600 + 25 = 7,625.

Question 7. 814,327 – 32,475 = ______

Question 8. 294,801 + 46,030 = ______

Question 9. 512,006 + 318,071 = ______

Answer: 830,085. Use compensation method. Subtract 6 from the first number. 512,006 – 6 = 512,000. Add the second number to the result. 512,000 + 318,071 = 830,071. Now add 6  again to the result to compensate. 830,071 + 6 = 830,085.

Question 10. 746,620 – 529,706 = _______

Answer: No, the addition is incorrect. Explanation: In step 1, 17 was subtracted to round it to the nearest hundreds. To compensate the subtraction, 17 should be added to the result in the final step. But, 17 was subtracted instead. Correct answer = 75,220 + 17 = 75,237.

Question 12. Writing Which strategy would you use to subtract 9,618 from 58,007? Explain.

Answer: Given, number of detectable earthquakes = 500,000. Number of detectable earthquakes that are felt = 99,500. Number of earthquakes that cannot be felt = 500,000 – 99,500 = 405,000.

Question 14. DIG DEEPER! A committee wants to purchase a playground for $52,499. They put a donation of$8,025 towards the purchase of the playground. Then they make 2 payments of $4,275. How much money does the committee have left to pay for the playground? Answer: Cost of playground =$52,499. Donation towards purchase = $8,025. Next payments made =$4,275. Amount left to pay = Total cost pf playground – donation – payment. So, amount left = $52,499 –$8,025 – $4,275 = ($52,499 – $8,025) –$4,275 = $44,474 –$4,275 = $40,199. So, the money left to pay by the committee to purchase the playground is$40,199 Review & Refresh Write an equation to solve. Use a letter to represent the unknown number. Check whether your answer is reasonable.

Question 15. There are 4 boxes. Each box has 6 granola bars. Your soccer team eats 18 granola bars. How many granola bars are left?

Answer: 6. Let the total number of granola bars = X. Given X = 4 Boxes of 6 granola bars each. So, X = 6 * 4 = 24. Number of Granola bars ate by Soccer team = 18. Number of granola bars left = total granola bars – granola bars ate = 24 – 18 = 6. Therefore, number of granola bars left = 6.

Question 16. Newton has 35 blocks. Descartes has 28 blocks. Newton divides his blocks into7 equal groups and gives Descartes one group. How many blocks does Descartes have now?

Answer: 33. Total blocks Newton has = 35. Dividing 35 into 7 equal groups = 35/7. So, number of blocks in each group = 35/7 = 5. Number of blocks with Descartes = 28. Number of blocks with Descartes after Newton giving one group of blocks = 28 + 5 = 33.

## Lesson 2.5 Problem Solving: Addition and Subtraction

Question 1. Explain how you can check whether your answer above is reasonable.

Answer: You can check the answer by doing the subtraction first and the addition later. First, subtract 587 songs that were deleted. Therefore, 3,914 – 587 = 3,327. Now add the downloaded songs, 1,326 to the result. So, 3,327 + 1,326 = 4,653. Apply and Grow: Practice Understand the problem. What do you know? What do you need to ﬁnd? Explain.

Question 3. A quarterback threw for 66,111 yards between 2001 and 2016. His all-time high was 5,476 yards in 1 year. In his second highest year, he threw for 5,208 yards. How many passing yards did he throw in the remaining years?

Question 4. There are 86,400 seconds in 1 day. On most days, a student spends 28,800 seconds sleeping and 28,500 seconds in school. How many seconds are students not awake, but in school?

Answer: Given, Number of seconds student sleeps = 28,800. Number of seconds student spends at school = 28,500. The Question asked was the number of seconds the student spend not awake (sleeping), but in school. In the given data, it’s not mentioned that the student spends time sleeping at school separately. So, with the given information, we cannot calculate the number of seconds student was not awake, but at school.

Answer: 258 pounds. Given, Weight of female rhino =7,206 pounds. Weight of the rhino pair = 14,860. Weight of male rhino = 14,860 – 7,206 Solve this using compensation strategy. Add 6 to the first number = 14,860 + 6 = 14,866. Now subtract the second number from the result. That means, 14,866 – 7,206 = 7,460. Now, subtract 6 from the result to compensate = 7,460 – 6 = 7,454. So, weight of male rhino = 7,464. Weight of male rhino more than female rhino = male rhino weight – female rhino weight. = 7,464 – 7,206 = 258 pounds.

Question 6. Earth is 24,873 miles around. If a person’s blood vessels were laid out in a line, they would be able to circle Earth two times, plus 10,254 more miles. How many miles long are a person’s blood vessels when laid out in a line?

Question 7. Alaska has 22,041 more miles of shoreline than Florida and California combined. Alaska has 33,904 miles of shoreline. Florida has 8,436 miles of shoreline. How many miles of shoreline does California have?

## Problem Solving: Addition and Subtraction Homework & Practice 2.5

Understand the problem. Then make a plan. How will you solve? Explain.

Question 1. A cargo plane weighs 400,000 pounds. After a load of cargo is removed, the plane weighs 336,985 pounds. Then a 12,395-pound load is removed. How many pounds of cargo are removed in all?

Question 2. A ski resort uses 5,200 gallons of water per minute to make snow. A family uses 361 gallons of water each day. How many more gallons of water does the ski resort use to make snow in 2 minutes than a family uses in 1 day?

Answer: 10,039 Gallons Given, Water required to make snow for 1 minute = 5,200 gallons. Water required for household usage per day = 361 gallons. Water required for ski resort to prepare snow per two minutes = 2 X 5,200 = 10,400 gallons. The more water required than the water consumed by the household one day usage = 10,400 – 361. Subtract using compensation. Add 39 to the second number. 361 + 39 = 400. Now subtract the result from the second number. 10,400 – 400 = 10,000. Now, add 39 to the result to compensate. 10,000 + 39 = 10,039. So, the additional water used for ski resort to make snow for 2 minutes than the water used by household per one day is 10,039 gallons.

Question 3. In July, a website receives 379,162 fewer orders than in May and June combined. The website receives 542,369 orders in May and 453,708 orders in June. How many orders does the website receive in July?

Question 4. Writing Write and solve a two-step word problem that can be solved using addition or subtraction.

Answer: A father wants to buy a laptop to his son worth $3,495. He makes 2 payments of$1,500. How much money does the he have left to pay for the laptop? Cost of laptop = $3,495. Number of payments of$1,500 done = 2. That means $1,500 X 2 = 3,000 Money left to pay by the father for the laptop = Cost of laptop – Amount paid =$3,495 – $3,000.$3,495 – $3,000 =$495. So, money left to buy laptop = $495 Question 5. Modeling Real Life World War I lasted from 1914 to1918. World War II lasted from 1939 to 1945. How much longer did World War II last than World War I? Answer: 2 years Duration of World war 1 = 1918 – 1914 = 4 years. Duration of World war 2 = 1945 – 1939 = 6 years. The longer did World war 2 last = Duration of World war 2 – Duration of World war 1 = 6 years – 4 years Therefore, World war 2 lasted 2 years longer than World war 1. Question 6. Modeling Real Life Twenty people each donate$9 to a charity. Sixty people each donate $8. The charity organizer wants to raise a total of$1,500. How much more money does the organizer need to raise?

Answer: Twenty people each donate $9 to a charity = 20 X$9 = $180 Sixty people each donate$8 = 60 X $8 =$480. Total fund collected = $180 +$480 = $660 The charity organizer wants to raise a total of$1,500. So, money left by the charity organizer to collect = $1500 –$660 = $740. Answer: 5 hours 56 minutes (05:56) Other way: 4 minutes to 6’O Clock. Answer: 3 hours 43 minutes (03:43) Other way: 17 minutes to 4’O Clock. Answer: 12 hours 37 minutes (12:37) ## Add and Subtract Multi-Digit Numbers Performance Task ## Add and Subtract Multi-Digit Numbers Activity ## Add and Subtract Multi-Digit Numbers Chapter Practice 2.1 Estimate Sum and Differences Estimate the sum or difference. Question 4. 742,086 – 486,629 = ______ Question 5. 216,987 + 72,429 = ______ Answer: 2,289. Use compensation method. Add 11 to the first number. 32,700 + 11 = 32,711 Now subtract the second number from result. So, 32,711 – 30,411 = 2,300. Now subtract 11 from the result to compensate. 2,300 – 11 = 2,289. Question 13. 973,287 – 8,345 = ______ Answer: 7,205 Use compensation method. Subtract 5 from the first number. 13,500 – 5 = 13,495. Now subtract second number from the result. 13,495 – 6,295 = 7,200. Now add 5 to the result to compensate. 7,200 + 5 = 7,205. Question 18. Modeling Real Life A library has 12,850 books. There are 1,932 poetry books, 5,047 nonfiction books, and 2,891 graphic novels. The rest are fiction. How many fiction books does the library have? Question 19. Modeling Real Life A technology teacher wants to buy a 3-D printer for$3,495. He makes 3 payments of $999. How much money does the teacher have left to pay for the 3-D printer? Answer:$498. Cost of 3-D printer = $3,495. Number of payments of$999 done = 3. That means $999 +$999 + $999. Use compensation technique to add the three numbers. Add$1 to each payment of $999.$999 + $1 =$1,000. So, the addition has to be done for $1,000 +$1,000 + $1,000 =$3,000. Now, subtract $3 from the result to compensate.$3,000 – $3 =$2,997. Money left to pay by the technology teacher for the 3-D printer = Cost of 3-D printer – Amount paid = $3,495 –$2,997. Use compensation method to do the subtraction. Add $3 to the second number.$2,997 + $3 =$3,000. Now subtract the result from the first number. $3,495 –$3,000 = $495. Add$3 to compensate. $495 +$3 = $498. So, the money left to pay by the technology teacher for the 3-D printer =$498.

Conclusion:

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• Texas Go Math
• Big Ideas Math
• enVision Math
• EngageNY Math
• McGraw Hill My Math
• 180 Days of Math
• Math in Focus Answer Key

To achieve better grades in Grade 2, students need to solve all questions, chapter tests, review tests, Homework & Practice, included in Go Math Grade 2 Textbooks. So, teachers and students can find this Go Math Answer Key for Grade 2 more helpful in understanding the concepts as well as to support teachers. With the help of the Go Math Primary School Grade 2 Answer Key, you can think deeply regarding what you are learning, and you will really learn math easily just like that. Click on the respective topic you wish to prepare and remediate the knowledge gap.

Chapter 4 – 2 Digit Addition

• 2-Digit Addition Show What You Know – Page 234
• 2-Digit Addition Vocabulary Builder – Page 235
• 2-Digit Addition Game: What is the Sum? – Page 236
• 2-Digit Addition Vocabulary Game – Page(236A-236B)

Lesson: 1 Break Apart Ones to Add

• Lesson 4.1 Break Apart Ones to Add – Page(237-242)
• Break Apart Ones to Add Homework & Practice 4.1 – Page(241-242)

Lesson: 2 Use Compensation

• Lesson 4.2 Use Compensation – Page(243-248)
• Use Compensation Homework & Practice 4.2 – Page(247-248)

Lesson: 3 Break Apart Addends as Tens and Ones

• Lesson 4.3 Break Apart Addends as Tens and Ones – Page(249-254)
• Break Apart Addends as Tens and Ones Homework & Practice 4.3 – Page(253-254)

Lesson: 4 Model Regrouping for Addition

• Lesson 4.4 Model Regrouping for Addition – Page(255-260)
• Model Regrouping for Addition Homework & Practice 4.4 – Page(259-260)

Lesson: 5 Model and Record 2-Digit Addition

• Lesson 4.5 Model and Record 2-Digit Addition – Page(261-266)
• Model and Record 2-Digit Addition Homework & Practice 4.5 – Page(265-266)

• Lesson 4.6 2-Digit Addition – Page(267-272)
• 2-Digit Addition Homework & practice 4.6 – Page(271-272)

• Lesson 4.7 Practice 2-Digit Addition – Page(273-278)
• Practice 2-Digit Addition Homework & Practice 4.7 – Page(277-278)

• Lesson 4.8 Rewrite 2-Digit Addition – Page(279-284)
• Rewrite 2-Digit Addition Homework & Practice 4.8 – Page(283-284)

Lesson: 9 Problem Solving • Addition

• Lesson 4.9 Problem Solving • Addition – Page(285-290)
• Problem Solving • Addition Homework & Practice 4.9 – Page(289-290)

Lesson: 10 Algebra • Write Equations to Represent Addition

• Lesson 4.10 Algebra • Write Equations to Represent Addition – Page(291-296)
• Algebra • Write Equations to Represent Addition Homework & Practice 4.10 – Page(295-296)

Lesson: 11 Algebra • Find Sums for 3 Addends

• Lesson 4.11 Algebra • Find Sums for 3 Addends – Page(297-302)
• Algebra • Find Sums for 3 Addends Homework & Practice 4.11 – Page(301-302)

Lesson: 12 Algebra • Find Sums for 4 Addends

• Lesson 4.12 Algebra • Find Sums for 4 Addends – Page(303-308)
• Algebra • Find Sums for 4 Addends Homework & Practice 4.12 – Page(307-308)
• 2-Digit Addition Chapter 4 Review/Test – Page(309-312)

Answer: The number of keys = 88.

Explanation: In the above-given question, given that, There are 36 black keys and 52 white keys. 36 + 52 = 88. The total number of keys = 88.

## 2-Digit Addition Show What You Know

Explanation: In the above-given question, given that, the numbers are 1 and 2. 1 + 2 = 3. The number is 3.

Question 2. 2 + _2_ = _4_

Explanation: In the above-given question, given that, the numbers are 2 and 2. 2 + 2 = 4. The number is 4.

Question 3. 3 + _2_ = _5_

Explanation: In the above-given question, given that, the numbers are 3 and 2. 3 + 2 = 5. The number is 5.

Question 4. 4 + _2_ = _6_

Explanation: In the above-given question, given that, the numbers are 4 and 2. 4 + 2 = 6. The number is 6.

Question 5. 5 + _2_ = _7__

Explanation: In the above-given question, given that, the numbers are 5 and 2. 5 + 2 = 7. The number is 7.

Question 6. 6 + _2_ = _8__

Explanation: In the above-given question, given that, the numbers are 6 and 2. 6 + 2 = 8. The number is 8.

Tens and Ones Write how many tens and ones for each number.

Answer: There are 4 tens and 3 ones.

Explanation: In the above-given question, the number is 43. there are 4 tens and 3 ones. 40 + 3 = 43. the number is 43.

Answer: There are 6 tens and 8 ones.

Explanation: In the above-given question, the number is 68. there are 6 tens and 8 ones. 60 + 8 = 68. the number is 68.

Answer: The numbers 7 and 4 are addends. The number 11 is the sum.

Understand Vocabulary

Question 1. Write a number with the digit 3 in the tens place. __32__

Explanation: In the above-given question, given that, the number with the digit 3 in the tens place. 30 + 2 = 32. so the number is 32.

Question 2. Write a number with the digit 5 in the ones place. _25__

Explanation: In the above-given question, given that, the number with the digit 5 in the ones place. 20 + 5 = 25. so the number is 25.

Question 3. Write a number that has the same digit in the tens place and in the ones place. __11__

Explanation: In the above-given question, given that, the number has the same digit in the tens place and in the ones place. 10 + 1 = 11. so the number is 11.

Question 4. Write a number with digits that have a sum of 8. _26___

Explanation: In the above-given question, given that, the number with digits that have a sum of 8. 2 + 6 = 8. so the number is 26.

## 2-Digit Addition Game: What is the Sum?

Play with a partner.

Answer: The numbers are 17 and 11.

Going Places with GOMATH! Words

Concentration

For 2 to 3 players Materials • 1 set of word cards How to Play

The Write Way

Reflect Choose one idea. Write about it in the space below.

• Explain how drawing quick pictures helps you add 2-digit numbers.
• Tell about all the different ways you can add 2-digit numbers.
• Write three things you know about regrouping.

Answer: The quick pictures can help easily by seeing the figures. We can add 2 digit numbers in many different ways.

Explanation: In the above-given question, given that, the figures that can be made easily by seeing is known as quick pictures. we can add 2 digit numbers in many different ways.

## Lesson 4.1 Break Apart Ones to Add

Essential Question How does breaking apart a number make it easier to add?

Listen and Draw

Math Talk MATHEMATICAL PRACTICES

Describe what you did with the blocks.

Model and Draw

Share and Show MATH BOARD

Draw quick pictures. Break apart ones to make a ten. Then add and write the sum.

Explanation: In the above-given question, given that, 15 + 7 = 22. 15 + 5 + 2. 20 + 2 = 22. the number is 22.

Go Math 2nd Grade Chapter 4 Lesson 1 Answer Key Question 2. 26 + 5 = _31_

Question 3. 37 + 8 = _45_

Question 4. 28 + 6 = _35_

Break apart ones to make a ten. Then add and write the sum.

Question 5. 23 + 9 = _32_

Explanation: In the above-given question, given that, 23 + 9 = 32. 23 + 5 + 4. 28 + 4 = 32. the number is 32.

Question 6. 48 + 5 = _53_

Explanation: In the above-given question, given that, 48 + 5 = 53. 48 + 3 + 2. 51 + 2 = 53. the number is 53.

Go Math 2nd Grade Lesson 4 Problem Set 4.1 Answer Key Question 7. 18 + 5 = _23_

Explanation: In the above-given question, given that, 18 + 5 = 23. 18 + 3 + 2. 21 + 2 = 23. the number is 23.

Question 8. 33 + 9 = _42_

Explanation: In the above-given question, given that, 33 + 9 = 42. 33 + 5 + 4. 38 + 4 = 42. the number is 42.

Question 9. 27 + 6 = _33_

Explanation: In the above-given question, given that, 27 + 6 = 33. 27 + 3 + 3. 30 + 3 = 33. the number is 33.

Question 10. 49 + 4 = _53_

Explanation: In the above-given question, given that, 49 + 4 = 53. 49 + 2 + 2. 51 + 2 = 53. the number is 53.

Question 11. GO DEEPER Alex sets up 32 small tables and 9 large tables in a room. Then he sets up 5 more large tables along a wall. How many tables does Alex set up? _46_ tables

Answer: The number of tables = 46.

Explanation: In the above-given question, given that, Alex sets up 32 small tables and 9 large tables in a room. Then he sets up 5 more large tables along a wall. 32 + 9 + 5 = 46. The number of tables = 46.

Answer: The number of trees Bruce see = 41.

Explanation: In the above-given question, given that, Bruce sees 29 oak trees and 4 maple trees at the park. Then he sees double the number of pine trees as maple trees. 29 + 4 + 8 = 46. The number of trees = 41.

Problem Solving • Applications

Solve. Write or draw to explain.

Answer: The number of pictures = 46.

Explanation: In the above-given question, given that, Megan has 38 animal pictures, 5 people pictures, and 3 insect pictures. 38 + 5 + 3 = 46. The number of tables = 46.

Answer: The number of toy cars in the box now = 28.

Explanation: In the above-given question, given that, Jamal has a box with 22 toy cars in it. He puts 9 more toy cars into the box. Then he takes 3 toy cars out of the box. 22 + 9 – 3 = 28. The number of cars in the box now = 28.

Answer: The number of pencils Dan has in all = 21.

TAKE HOME ACTIVITY • Say a number from 0 to 9. Have your child name a number to add to yours to have a sum of 10.

## Break Apart Ones to Add Homework & Practice 4.1

Question 1. 62 + 9 = _71_

Explanation: In the above-given question, given that, 62 + 9 = 71. 62 + 5 + 4. 67 + 4 = 71. the number is 71.

Go Math Grade 2 Chapter 4 Lesson 1 Answer Key Question 2. 27 + 7 = _34_

Explanation: In the above-given question, given that, 27 + 7 = 34. 27 + 3 + 4. 30 + 4 = 34. the number is 34.

Question 3. 28 + 5 = _33_

Explanation: In the above-given question, given that, 28 + 5 = 33. 28 + 2 + 3. 30 + 3 = 33. the number is 33.

Quentin 4. 17 + 8 = _25_

Explanation: In the above-given question, given that, 17 + 8 = 25. 17 + 5 + 3. 22 + 3 = 25. the number is 25.

Question 5. 57 + 6 = _63_

Explanation: In the above-given question, given that, 57 + 6 = 63. 57 + 3 + 3. 60 + 3 = 63. the number is 63.

Question 6. 23 + 9 = _32_

Explanation: In the above-given question, given that, 23 + 9 = 32. 23 + 6 + 3. 29 + 3 = 32. the number is 32.

Question 7. 39 + 7 = _46_

Explanation: In the above-given question, given that, 39 + 7 = 46. 39 + 4 + 3. 43 + 3 = 46. the number is 46.

Question 8. 26 + 5 = _31_

Explanation: In the above-given question, given that, 26 + 5 = 31. 26 + 3 + 2. 29 + 2 = 31. the number is 31.

Question 9. 13 + 18 = _31_

Explanation: In the above-given question, given that, 13 + 18 = 31. 13 + 10 + 8. 23 + 8 = 31. the number is 31.

Question 10. 18 + 7 = _25_

Explanation: In the above-given question, given that, 18 + 7 = 25. 18 + 4 + 3. 22 + 3 = 25. the number is 25.

Problem Solving

Answer: The number of toy airplanes = 25.

Explanation: In the above-given question, given that, Jimmy had 18 toy airplanes. His mother bought him 7 more toy airplanes. 18 + 7 = 25. The number of toy airplanes = 25.

Question 12. WRITE Math Explain how you would find the sum of 46 + 7. _________46___+___3___________ ___________53______________

Explanation: In the above-given question, given that, the numbers are 46 and 7. 46 + 7 = 53.

Lesson Check

Question 1. What is the sum? 26 + 7 = _33_

Explanation: In the above-given question, given that, the numbers are 26 and 7. 26 + 7 = 33.

Question 2. What is the sum? 15 + 8 = _23_

Explanation: In the above-given question, given that, the numbers are 15 and 8. 15 + 8 = 23.

Spiral Review

Question 3. Hannah has 4 blue beads and 8 red beads. How many beads does Hannah have? 4 + 8 = _12_ beads

Explanation: In the above-given question, given that, Hannah has 4 blue beads and 8 red beads. 4 + 8 = 12. The number of beads = 12.

Question 4. Rick had 4 stickers. Then he earned 2 more. How many stickers does he have now? 4 + 2 = _6_ stickers

Answer: The number of stickers = 6.

Explanation: In the above-given question, given that, Rick had 4 stickers. Then he earned 2 more. 4 + 2 = 6. The number of stickers = 6.

Question 5. What is the sum? 4 + 5 + 4 = _13_

Explanation: In the above-given question, given that, the numbers are 4, 5, and 4. 4 + 5 + 4 = 13.

Question 6. Write 281 using hundreds, tens, and ones. _2_ hundreds _8_ tens _1_ one

Answer: There are 2 hundred, 8 tens and 1 ones.

Explanation: In the above-given question, the number is 281. there are 2 hundred, 8 tens, and 1 ones. 200 + 80 + 1 = 281.

## Lesson 4.2 Use Compensation

Essential Question How can you make an addend a ten to help solve an addition problem?

Draw quick pictures to show the problems.

Analyze Describe how you found how many stickers Tyrone has.

Show how to make one addend the next tens number. Complete the new addition sentence

Show how to make one addend the next tens number. Complete the new addition sentence.

Question 6. GO DEEPER Lee finds 44 shells. Wayne finds 39 shells. How many shells do they still need if they want 90 shells in all? __7_ shells

Answer: The number of shells they want more = 7.

Explanation: In the above-given question, given that, Lee finds 44 shells. Wayne finds 39 shells. If they want 90 shells. 90 – 44 + 39. 90 – 83 = 7. The number of shells they want more = 7.

Answer: The number of children still need = 5.

Explanation: In the above-given question, given that, Zach finds 38 sticks. Kelly finds 27 sticks. If they want 70 sticks. 70 – 38 + 27. 70 – 65 = 5. The number of children still need = 5.

__27__ and _25___

Answer: The two colors Philip collected a green and yellow = 52.

Explanation: In the above-given question, given that, He wants a collection of 52 leaves using two colors. green color and yellow color. 27 + 25 =  52. The two colors Philip collected a green and yellow = 52.

Answer: The number of paper Ava has = 61.

TAKE HOME ACTIVITY • Have your child choose one problem on this page and explain how to solve it in another way.

## Use Compensation Homework & Practice 4.2

Question 4. The oak tree at the school was 34 feet tall. Then it grew 18 feet taller. How tall is the oak tree now? _52_ feet tall

Answer: The length of the oak tree = 52.

Explanation: In the above-given question, given that, The oak tree at the school was 34 feet tall. Then it grew 18 feet taller. 34 + 18 = 52. The Length of the oak tree = 52.

Question 5. WRITE Math Explain why you would make one of the addends a tens number when solving an addition problem. __________________________ __________________________

Explanation: In the above-given question, given that, the numbers are 18 and 25. 18 + 25 = 43.

Explanation: In the above-given question, given that, the numbers are 27 and 24. 27 + 24 = 51.

Answer: The even number is 14.

Question 4. Andrew sees 4 fish. Kim sees double that number of fish. How many fish does Kim see? _8_ fish

Answer: The number of fish Kim see = 8.

Explanation: In the above-given question, given that, Andrew sees 4 fish. Kim sees double that number of fish. 4 + 4 = 8. The number of fish Kim see = 8.

Question 5. Write is a related subtraction fact for 7 + 6 = 13. _____13__-__6___=____7__________

Answer: The related subtraction fact is 13 – 6 = 7.

Explanation: In the above-given question, given that, The number is 7 + 6 = 13. 13 – 6 = 7. the related subtraction fact is 13 – 6 = 7.

Question 6. What is the sum? 2 + 8 = _10_

Explanation: In the above-given question, given that, the numbers are 2 and 8. 2 + 8 = 10.

## Lesson 4.3 Break Apart Addends as Tens and Ones

Explanation: In the above-given question, given that, the number is divided into two parts. they are tens digit and ones digit. 4 is in tens digit and 3 is in 1s digit. 40 + 3 = 43. The number is 43.

Explanation: In the above-given question, given that, the number is divided into two parts. they are tens digit and ones digit. 1 is in tens digit and 8 is in 1s digit. 10 + 8 = 18. The number is 18.

Math Talk MATHEMATICAL PRACTICES What is the value of the 6 in the number 63? Explain how you know.

Answer: The value of the 6 is tens digit.

Explanation: In the above-given question, given that, the number is divided into two parts. they are tens digit and ones digit. 6 is in tens digit and 3 is in 1s digit. 60 + 3 = 63. The number is 63.

Explanation: In the above-given question, given that, Chris read 15 pages of his book. Tony read 4 more pages than Chris. 15 + 19 = 34. The number of pages Chris and Tony read = 34.

Explanation: In the above-given question, given that, Julie read 18 pages of her book in the morning. She read the same number of pages in the afternoon. 18 + 18 = 36. The number of pages Julie read = 36.

Write or draw to explain.

Explanation: In the above-given question, given that, Len has 35 baseball cards. The rest of his cards are basketball cards. 58 – 35 = 23. The number of basketball cards = 23.

Answer: The number of pencils does Tomas have now = 43.

Explanation: In the above-given question, given that, Tomas has 17 pencils. He buys 26 more pencils. 26 + 17 = 43. The number of pencils does Tomas have now = 43.

Answer: The number of stickers Sasha used = 60.

TAKE HOME ACTIVITY • Write 32 + 48 on a sheet of paper. Have your child break apart the numbers and find the sum.

Explanation: In the above-given question, given that, the numbers are 32 and 48. 32 + 48 = 80.

## Break Apart Addends as Tens and Ones Homework & Practice 4.3

Break apart the addends to find the sum.

Choose a way to solve. Write or draw to explain.

Question 3. Christopher has 28 baseball cards. Justin has 18 baseball cards. How many baseball cards do they have together? _46_ baseball cards

Answer: The number of baseball cards have = 46.

Explanation: In the above-given question, given that, Christopher has 28 baseball cards. Justin has 18 baseball cards. 28 + 18 = 46. The number of baseball cards = 46.

Question 4. WRITE Math Explain how to break apart the addends to find the sum of 25 + 16. _______25__+___16________ _________41_________________

Explanation: In the above-given question, given that, the numbers are 25 and 16. 25 = 20 + 5. 16 = 10 + 6. 20 + 10 = 30 . 5 + 6 = 11. 30 + 11 = 30 + 10 + 1. 40 + 1 = 41. the number is 41.

Answer: The value of the underlined digit is 5.

Question 5. Ally has 7 connecting cubes. Greg has 4 connecting cubes. How many connecting cubes do they have? _11_ cubes

Answer: The number of connecting cubes = 11.

Explanation: In the above-given question, given that, Ally has 7 connecting cubes. Greg has 4 connecting cubes. 7 + 4 = 11. The number of connecting cubes = 11.

Question 6. Juan painted a picture of a tree. First, he painted 15 leaves. Then he painted 23 more leaves. How many leaves did he paint? _38_ leaves

Answer: The number of leaves he paints = 38.

Explanation: In the above-given question, given that, Juan painted a picture of a  tree. First, he painted 15 leaves. Then he painted 23 more leaves. 15 + 23 = 38. The number of leaves he paints = 38.

## Lesson 4.4 Model Regrouping for Addition

Essential Question When do you regroup in addition?

Share and Show

Draw to show the regrouping. Write how many tens and ones are in the sum. Write the sum.

Explanation: In the above-given question, given that, the numbers are 47 and 15. 47 + 15 = 62.

Explanation: In the above-given question, given that, the numbers are 48 and 8. 48 + 8 = 56.

Explanation: In the above-given question, given that, the numbers are 26 and 38. 26 + 38 = 64.

Draw to show if you regroup. Write how many tens and ones are in the sum. Write the sum.

Explanation: In the above-given question, given that, the numbers are 79 and 6. 79 + 6 = 85.

Explanation: In the above-given question, given that, the numbers are 18 and 64. 18 + 64 = 82.

Explanation: In the above-given question, given that, the numbers are 23 and 39. 23 + 39 = 62.

Explanation: In the above-given question, given that, the numbers are 54 and 25. 54 + 25 = 89.

Explanation: In the above-given question, given that, the numbers are 33 and 7. 33 + 7 = 40.

Explanation: In the above-given question, given that, the numbers are 27 and 68. 27 + 68 = 95.

Answer: The number of toy animals Jorge have = 33.

Explanation: In the above-given question, given that, Kara has 25 toy animals and 12 books. Jorge has 8 more toy animals than Kara has. 25 + 8 = 33. The number of toy animals Jorge have = 33.

Answer: The number of fish in the two tanks = 41.

Explanation: In the above-given question, given that, Mrs. Sanders has two fish tanks. There are 14 fish in the small tank. There are 27 fish in the large tank. 14 + 27 = 41. The number of fish in the tank = 41.

Answer: The number steps Charlie climbed = 87.

Explanation: In the above-given question, given that, Charlie climbed 69 steps. Then he climbed 18 more steps. 69 + 18 = 87. The number of steps Charlie climbed = 87.

## Model Regrouping for Addition Homework & Practice 4.4

Draw to show the regrouping. Write how many tens and ones in the sum. Write the sum.

Explanation: In the above-given question, given that, the numbers are 63 and 9. 63 + 9 = 72.

Explanation: In the above-given question, given that, the numbers are 25 and 58. 25 + 58 = 83.

Explanation: In the above-given question, given that, the numbers are 58 and 18. 58 + 18 = 76.

Explanation: In the above-given question, given that, the numbers are 64 and 26. 64 + 26 = 90.

Explanation: In the above-given question, given that, the numbers are 17 and 77. 17 + 77 = 94.

Explanation: In the above-given question, given that, the numbers are 16 and 39. 16 + 39 = 55.

Question 7. Cathy has 43 leaves in her collection. Jane has 38 leaves. How many leaves do the two children have? _81_ leaves

Answer: The number of leaves two children have = 81.

Explanation: In the above-given question, given that, Cathy has 43 leaves in her collection. Jane has 38 leaves . 43 + 38 = 87. The number of leaves two children have = 81.

Question 8. WRITE Math Suppose you are adding 43 and 28. Will you regroup? Explain. ____________71______________

Explanation: In the above-given question, given that, the numbers are 43 and 28. 43 + 28 = 71.

Explanation: In the above-given question, given that, the numbers are 27 and 48. 27 + 48 = 75.

Question 2. What is the sum? 7 + 7 = _14_

Explanation: In the above-given question, given that, the numbers are 7 and 7. 7 + 7 = 14.

Answer: The odd number is 21.

Question 4. What is the sum? 39 + 46 = _85_

Explanation: In the above-given question, given that, the numbers are 39 and 46. 39 + 46 = 85.

Question 5. What is the sum? 5 + 3 + 4 = _12_

Explanation: In the above-given question, given that, the numbers are 5, 3, and 4. 5 + 3 + 4 = 12.

## Lesson 4.5 Model and Record 2-Digit Addition

Essential Question How do you record 2-digit addition?

Make Connections Did you trade blocks in your model? Explain why or why not.

Explanation: In the above-given question, given that, the numbers are 37 and 26. 37 + 26 = 63.

Answer: The number of stickers they need to have 100 = 20.

Explanation: In the above-given question, given that, Margo has 44 stickers. Tim has 36 stickers. 44 + 36 = 80. 100 – 80 = 20. The number of stickers they need to have 100 = 20.

Question 8. GO DEEPER A baker wants to sell 100 muffins. So far the baker has sold 48 corn muffins and 42 bran muffins. How many more muffins does the baker need to sell? _10_ more muffins

Answer: The number of muffins baker need to sell = 10.

Explanation: In the above-given question, given that, A baker wants to sell 100 muffins. So far the baker has sold 48 corn muffins and 42 bran muffins. 100 – 90 = 10. The number of muffins baker need to sell = 10.

Question 9. MATHEMATICAL PRACTICE Make Sense of Problems Chris and Bianca got 80 points in all in the spelling contest. Each child got more than 20 points. How many points could each child have gotten? Chris: _40_ points Bianca: _40_ points

Answer: The number of points each child have = 40.

Explanation: In the above-given question, given that, Chris and Bianca got 80 points in all the spelling contest. 40 + 40 = 80. The number of points each child have = 40.

TAKE HOME ACTIVITY • Write two 2-digit numbers and ask your child if he or she would regroup to find the sum.

## Model and Record 2-Digit Addition Homework & Practice 4.5

Question 5. There were 37 children at the park on Saturday and 25 children at the park on Sunday. How many children were at the park on those two days? _62_ children

Answer: The number of children were at the park = 62.

Explanation: In the above-given question, given that, There were 37 children at the park on saturday and 25 children at the park on sunday. 25 + 37 = 62. The number of children were at the park = 62.

Question 6. WRITE Math Explain why you should record a 1 in the Tens column when you regroup in an addition problem. __________________________ __________________________

Question 3. Adam collected 14 pennies in the first week and 9 pennies in the second week. How many more pennies did he collect in the first week than in the second week? 14 – 9 = _5_ pennies

Answer: The number of pennies he collected more in first week = 5.

Explanation: In the above-given question, given that, Adam collected 14 pennies in the first week and 9 pennies in the second week. 14 – 9 = 5. The number of pennies he collected more in first week = 5.

Question 4. What is the sum? 3 + 7 + 9 = _19_

Explanation: In the above-given question, given that, the numbers are 3, 7, and 9. 3 + 7 + 9 = 19.

Question 5. Janet has 5 marbles. She finds double that number of marbles in her art box. How many marbles does Janet have now? 5 + _10_ = _15_ marbles

Answer: The number of marbles does janet have = 15.

Explanation: In the above-given question, given that, Janet has 5 marbles. She finds double that number of marbles in her art box. 5 + 10 = 15. The number of marbles does janet have = 15.

Question 6. What is the difference? 13 – 5 = _8_

Explanation: In the above-given question, given that, the numbers are 13 and 5. 13 – 5 = 8.

Essential Question How do you record the steps when adding 2-digit numbers?

Explanation: In the above-given question, given that, the numbers are 58 and 24. 58 + 24 = 82.

Analyze Relationships Explain when you need to regroup ones.

Explanation: In the above-given question, given that, the numbers are 59 and 24. 59 + 24 = 83.

Regroup if you need to. Write the sum.

Answer: The number of books Jin have now = 45.

Explanation: In the above-given question, given that, Jin has 31 books about cats and 19 books about dogs. He gives 5 books to his sister. 31 + 19 – 5 = 45 The number of books Jin have = 45.

Question 15. MATHEMATICAL PRACTICE Verify the Reasoning of Others Describe Abby’s way of adding 2-digit numbers. __________________________ __________________________ __________________________

Question 16. THINK SMARTER Melissa saw 14 sea lions and 29 seals. How many animals did she see? Write a number sentence to find the total number of animals that she saw. _________43_________________ Explain how the number sentence shows the problem. ______14__+___29_______________ __________43________________

Answer: The number of animals that she saw = 43.

Explanation: In the above-given question, given that, Melissa saw 14 sea lions and 29 seals. 14 + 29 = 15. The number of marbles does janet have = 15.

TAKE HOME ACTIVITY • Ask your child to show you two ways to add 45 and 38.

## 2-Digit Addition Homework & Practice 4.6

Question 9. Angela drew 16 flowers on her paper in the morning. She drew 25 more flowers in the afternoon. How many flowers did she draw? _41_ flowers

Answer: The number of flowers did she draw = 41.

Explanation: In the above-given question, given that, Angela drew 16 flowers on her paper in the morning. She drew 25 more flowers in the afternoon. 16 + 25 = 41. the number of flowers she drew = 41. Question 10. WRITE Math How is Exercise 5 different from Exercise 6? Explain. __________________________________ __________________________________

Question 3. What is the next number in the counting pattern? 103, 203, 303, 403, _503_

Explanation: In the above-given question, given that, the numbers are 103, 203, 303, 403. the numbers are adding by 100. the number is 503.

Question 4. Rita counted 13 bubbles. Ben counted 5 bubbles. How many fewer bubbles did Ben count than Rita? 13 – 5 = _8_ bubbles

Answer: The number of fewer bubbles count than Rita = 8.

Explanation: In the above-given question, given that, Rita counted 13 bubbles. Ben counted 5 bubbles. 13 – 5 = 8. the number  of fewer bubbles count than Rita = 8.

Question 5. Which number is 100 more than 265? _365__

Explanation: In the above-given question, given that, the number is 100 more than 265. 265 + 100 = 365. the number is 365.

Question 6. Write 42 as a sum of tens and ones. _40_ + _2_

Explanation: In the above-given question, given that, 4 tens and 2 ones. 40 + 2 = 42.

## Lesson 4.7 Practice 2-Digit Addition

MATHEMATICAL PRACTICES Explain why you chose your way of solving the problem.

Write the sum.

TAKE HOME ACTIVITY • Tell your child two 2-digit numbers. Have him or her write the numbers and find the sum.

## Practice 2-Digit Addition Homework & Practice 4.7

Question 7. There are 45 books on the shelf. There are 37 books on the table. How many books are on the shelf and the table? _82_ books

Answer: The number of books on the shelf and the table = 82.

Explanation: In the above-given question, given that, There are 45 books on the shelf. There are 37 books on the table. 45 + 37 = 82. the number of books on the shelf and the table  = 82.

Question 8. WRITE Math Describe how you regroup when you find the sum of 64 + 43. ________64__+__43______________ _________103_________________

Explanation: In the above-given question, given that, the numbers are 64 and 43. 64 + 43 = 103.

Answer: The value of the underlined digit is 500.

Question 4. Mr. Stevens wants to put 17 books on the shelf. He put 8 books on the shelf. How many more books does he need to put on the shelf? 17 − 8 = _9_ books

Answer: The number of books he needs to put on the shelf = 9.

Explanation: In the above-given question, given that, Mr. Stevens wants to put 17 books on the shelf. He put 8 books on the shelf. 17 – 8 = 9. the number of books he needs to put on the shelf = 9.

Question 5. What is the difference? 11 – 6 = _5_

Explanation: In the above-given question, given that, the numbers are 11 and 6. 11 – 6 = 5.

Question 6. Write 83 as a sum of tens and ones _80_ + _3_

Answer: The number 8 is in the tens place and 3 is in ones place. 80 + 3 = 83.

Explanation: In the above-given question, given that, the number is 83. 80 + 3 = 83. 2-Digit Addition Mid-Chapter Checkpoint

Concepts and Skills

Question 1. 37 + 8 = _45__

Explanation: In the above-given question, given that, the numbers are 37 and 8. 37 = 30 + 7. 8 = 5 + 3. 30 + 7 = 37. 5 + 3 = 8. 37 + 8 = 37 + 5 + 3. 42 + 3 = 45. the number is 45.

Question 2. 55 + 7 = _62__

Explanation: In the above-given question, given that, the numbers are 55 and 7. 55 = 50 + 5. 7 = 5 + 2. 50 + 5 = 55 . 5 + 2 = 7. 55 + 7 = 55 + 5 + 2. 60 + 2 = 62. the number is 62.

Question 7. THINK SMARTER Julia collected 25 cans to recycle. Dan collected 14 cans. How many cans did they collect? _39_ cans

Answer: The number of cans did they collect = 39.

Explanation: In the above-given question, given that, Julia collected 25 cans to recycle. Dan collected 14 cans. 25 + 14 = 39. the number of cans did they collect = 39.

## Lesson 4.8 Rewrite 2-Digit Addition

Essential Question What are two different ways to write addition problems?

Math Talk MATHEMATICAL PRACTICES Look for Structure Explain why it is important to line up the digits of these addends in columns.

Question 22. MATHEMATICAL PRACTICE Analyze Relationships Which two players scored 56 points in all? Add to check your answer. _Lou_ and _Kevin_

Answer: The two players who scored 56 points in all = Lou and Kevin.

Explanation: In the above-given question, given that, Lou scored this season = 37. Kevin scored this season = 19. 37 + 19 = 56. the two players who scored 56 points in all = Lou and Kevin. Question 23. THINK SMARTER Shawn says he can find the sum of 20 + 63 without rewriting it. Explain how to find the sum using mental math. ______10___+ __10_______________ _____60___+__3________________ ______20____+____63____________ ________83__________________

Explanation: In the above-given question, given that, the numbers are 20 and 63. 20 + 63 = 83.

TAKE HOME ACTIVITY • Have your child write and solve another problem, using the table above.

## Rewrite 2-Digit Addition Homework & Practice 4.8

Use the table. Show how you solved the problem.

Answer: The number of pages Sasha and Kara read together = 91.

Explanation: In the above-given question, given that, Sasha read 62 pages. Kara read 29 pages. 62 + 29 = 91. the number of pages Sasha and Kara read together = 91.

Question 10. WRITE Math Explain what can happen if you line up the digits incorrectly when you rewrite addition problems. __________________________ __________________________ __________________________

Answer: If we line up the digits incorrectly when we rewrite additional problem, we can get wrong answer.

Question 3. What number is another way to write 60 + 4? ____64_____

Explanation: In the above-given question, given that, the numbers are 60 and 4. 60 + 4 = 64

Question 4. The classroom has 4 desks in each row. There are 5 rows. How many desks are there in the classroom? _20_ desks

Answer: The number of desks are there in the classroom = 20.

Explanation: In the above-given question, given that, The classroom has 4 desks in each row. There are 5 rows. 4 + 4 + 4 + 4 + 4 = 20. the number of desks are there in the classroom = 20. Question 5. A squirrel collected 17 acorns. Then the squirrel collected 31 acorns. How many acorns did the squirrel collect? _48_ acorns

Answer: The number of acorns did the squirrel collect = 48.

Explanation: In the above-given question, given that, A squirrel collected 17 acorns. Then the squirrel collected 31 acorns. 17 + 31 = 48. The number of acorns did the squirrel collect = 48. Question 6. What number can be written as 3 hundreds 7 tens 5 ones? _375__

Explanation: In the above-given question, given that, the numbers are 300, 70 and 5. 300 + 70 + 5 = 375. The number can be written as 3 hundred 7 tens and 5 ones.

## Lesson 4.9 Problem Solving • Addition

Essential Question How can drawing a diagram help when solving addition problems?

Kendra had 13 crayons. Her dad gave her some more crayons. Then she had 19 crayons. How many crayons did Kendra’s dad give her?

Explanation: In the above-given question, given that, Kendra had 13 crayons. Her dad gave her some more crayons. Then she had 19 crayons. 19 – 13 = 6. the number of crayons did Kendra’s dad give = 6.

Question 6. What number can be written as 3 hundreds 7 tens 5 ones?

Unlock the Problem

What information do I need to use?

She had __ crayons. After he gave her some more crayons, she had __ crayons.

Show how to solve the problem.

HOME CONNECTION • Your child used a bar model and a number sentence to represent the problem. These help show what the missing amount is in order to solve the problem.

Try Another Problem

Answer: The number of pens does he have now = 43.

Answer: The number of pencils does Jim have = 7.

Math Talk MATHEMATICAL PRACTICES Explain how you know if an amount is a part or the whole in a problem.

Answer: The number of crickets does Matthew catch = 8.

Answer: The number of grasshoppers does percy count = 31.

Answer: The number of owls in the third group = 30.

Answer: The number of paper clips are there in all = 61.

Explanation: In the above-given question, given that, There are 37 paper clips in the box and 24 paper clips on the table. 37 + 24 = 61. the number of paper clips are there in all = 61.

Answer: The number of postcards he have now = 39.

Explanation: In the above-given question, given that, Jeff has 19 postcards and 2 pens. He buys 20 more postcards. 19 + 20 = 39. the number of postcards he have now = 39.

Question 8. GO DEEPER There are a total of 41 chickens on the farm. There are 13 chickens in each of the 2 cages in the barn. The rest of the chickens are outside. How many chickens are outside? _15_ chickens

Answer: The number of chickens are outside = 15.

Explanation: In the above-given question, given that, There are a total of 41 chickens on the farm. There are 13 chickens in each of the 2 cages in the barn. 26 – 41 = 15. The number of chicken are outside = 15. Question 9. THINK SMARTER There are 23 books in a box. There are 29 books on a shelf. How many books are there? _52_ books

Answer: The number of books = 52.

Explanation: In the above-given question, given that, There are 23 books in a box. There are 29 books on a shelf. 23 + 29 = 52. the number of books = 52.

TAKE HOME ACTIVITY • Ask your child to explain how to solve one of the problems above.

## Problem Solving • Addition Homework & Practice 4.9

Answer: The number of ants Jacob count = 48.

Answer: The number of bees are there = 31.

Question 3. WRITE Math Describe how you labeled the bar model and wrote a number sentence to solve Exercise 2. __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________

Answer: First of all I wrote 14 in the first box which represents the number of bees in the hive. Secondly, I wrote 17 in the second box which represents the number of bees in the garden

Answer: The number of markers does Sean have = 9.

Answer: The number of students in two calsses = 66.

Question 3. What is the difference? 15 – 9 = _6__

Explanation: In the above-given question, given that, the numbers are 15 and 9. 15 – 9 = 6.

Question 4. What is the sum? 7 + 5 = __12_

Explanation: In the above-given question, given that, the numbers are 7 and 5. 7 + 5 = 12.

Question 5. Jan has 14 blocks. She gives 9 blocks to Tim. How many blocks does Jan have now? 14 – 9 = _5_ blocks

Answer: The number of blocks does Jan have = 5.

Explanation: In the above-given question, given that, Jan has 14 blocks. She gives 9 blocks to Tim. 14 – 9 = 5. the number of blocks does Jan have = 5.

Question 6. What is the next number in the counting pattern? 29, 39, 49, 59, _69__

Explanation: In the above-given question, given that, the numbers are 29, 39, 49, 59, and 69. the numbers are adding by 10. the number is 69.

## Lesson 4.10 Algebra • Write Equations to Represent Addition

Essential Question How do you write a number sentence to represent a problem?

Math Talk MATHEMATICAL PRACTICES Communicate Explain how you found the number of children on the bus.

Answer: The number of pencils = 29.

Answer: The number of melons are large = 10.

Question 2. 83 people went to a movie on Thursday. 53 of them were children and the rest were adults. How many adults were at the movie? __83_-_53__=__30____ __30_ adults

Explanation: In the above-given question, given that, 83 people went to a movie on thursday. 53 of them were children and the rest were adults. 83 – 53 = 30. the number of adults were at the movie = 30.

Answer: The number of stamps did jake have to start = 36.

Answer: The number of trees = 40. The number of birds = 48.

Answer: The number clips = 70, and 81.

Explanation: In the above-given question, given that, Amy needs about 70 paper clips. Without adding, circle 2 boxes that would be close to the amount that she needs. the number clips = 70, and 81.

Question 6. MATHEMATICAL PRACTICE Make Sense of Problems Mr. Walton baked 24 loaves of bread last week. He baked 28 loaves of bread this week. How many loaves of bread did he bake in the two weeks? _52__ loaves of bread

Answer: The number of loaves of bread did he bake = 52.

Explanation: In the above-given question, given that, Mr. Walton baked 24 loaves of bread last week. He baked 28 loaves of bread this week. 24 + 28 = 52. the number of loaves of bread did he bake = 52.

Answer: The number of oranges did she buy = 14 and 12.

TAKE HOME ACTIVITY • Have your child explain how he or she writes a number sentence to stand for a problem.

## Algebra • Write Equations to Represent Addition Homework & Practice 4.10

Question 1. Emily and her friends went to the park. They saw 15 robins and 9 blue jays. How many birds did they see? __24__ _24_ birds

Answer: The number of birds did they see = 24.

Explanation: In the above-given question, given that, Emily and her friends went to the park. They saw 15 robins and 9 blue jays. 15 + 9 = 24. the number of birds did they see = 24.

Question 2. Joe has 13 fish in one tank. He has 8 fish in another tank. How many fish does Joe have? __13_+_8_____ _21_ fish

Answer: The number of fish does Joe has = 21.

Explanation: In the above-given question, given that, Joe has 13 fish in one tank. He has 8 fish in another tank. 13 + 8 = 21. the number of fish does Joe have = 21.

Question 3. There are 21 children in Kathleen’s class. 12 of the children are girls. How many children in her class are boys? _9_ boys

Answer: The number of children in her class is boys = 9.

Explanation: In the above-given question, given that, There are 21 children in Kathleen’s class. 12 of the children are girls. 21 – 12 = 9. the number of children in her class is boys = 9.

Question 4. WRITE Math Explain how you decided what number sentence to write for Exercise 1. __________________________ __________________________ __________________________ __________________________

Question 1. Clare has 14 blocks. Jasmine has 6 blocks. How many blocks do they have? 14 + 6 = _20_ blocks

Answer: The number of blocks do they have = 20.

Explanation: In the above-given question, given that, Clare has 14 blocks. Jasmine has 6 blocks. 14 + 6 = 20. the number of blocks do they have = 20.

Question 2. Matt finds 16 acorns at the park. Trevor finds 18 acorns. How many acorns do they find? 16 + 8 = _24_ acorns

Answer: The number of acorns do they find = 24.

Explanation: In the above-given question, given that, Matt finds 16 acorns at the park. Trevor finds 18 acorns. 16 + 18 = 24. the number of acorns do they find = 24.

Question 3. Leanne counted 19 ants. Gregory counted 6 ants. How many more ants did Leanne count than Gregory? 19 – 6 = _13_ ants

Answer: The number of more ants did Leanne count = 13.

Explanation: In the above-given question, given that, Leanne counted 19 ants. Gregory counted 6 ants. 19 – 6 = 13. the number of more ants did Leanne count = 13.

Question 4. What is the sum? 4 + 3 + 6 = _13__

Question 5. Ms. Santos puts seashells into 4 rows. She puts 6 seashells in each row. How many seashells are there altogether? _24_ seashells

Answer: The number of seashells = 24.

Explanation: In the above-given question, given that, Ms. Santos puts seashells into 4 rows. she puts 6 seashells in each row. 6 x 4 = 24. the number of seashells = 24.

## Lesson 4.11 Algebra • Find Sums for 3 Addends

Essential Question What are some ways to add 3 numbers?

Draw to show each problem.

Which numbers did you add first in the first problem? Explain why.

Question 17. GO DEEPER Mrs. Carson is making food for a party. She makes 20 ham sandwiches, 34 turkey sandwiches, and 38 tuna salad sandwiches. How many sandwiches does she make for the party? _92_ sandwiches

Answer: The number of sandwiches = 92.

Explanation: In the above-given question, given that, Mrs. Carson is making food for a party. She mekes 20 ham sandwwiches, 34 turkey sandwiches, and 38 tuna salad sandwiches. 20 + 34 + 38 = 92 the number of sandwiches = 92.

Answer: The number of marbles does Sophia have now = 108.

Explanation: In the above-given question, given that, Sophia had 44 marbles. she bought 24 more marbles. Then John gave her 35 marbles. 44 + 24 + 35 = 108. the number of seashells = 108.

Question 19. MATHEMATICAL PRACTICE Evaluate Mrs. Shaw has 23 red notebooks, 15 blue notebooks, and 27 green notebooks. How many notebooks does she have? _65_ notebooks

Answer: The number of notebooks = 65.

Explanation: In the above-given question, given that, Mrs. Shaw has 23 red notebooks, 15 blue notebooks, and 27 green notebooks. 23 + 15 + 27 = 65. the number of notebooks = 65.

Explanation: In the above-given question, given that, the numbers are 12, 28, and 13. 53 – 40 = 13. the number is 13.

Question 21. THINK SMARTER Mr. Samson gave his students 31 yellow pencils, 27 red pencils, and 25 blue pencils. How many pencils did he give to his students? _83_ pencils

Answer: The number of pencils = 83.

Explanation: In the above-given question, given that, Mr. Samson gave his students 31 yellow pencils, 27 red pencils, and 25 blue pencils. 31 + 27 + 25 = 83. the number of pencils = 83.

TAKE HOME ACTIVITY • Ask your child to show you two ways to add 17, 13, and 24.

## Algebra • Find Sums for 3 Addends Homework & Practice 4.11

Question 10. Liam has 24 yellow pencils, 15 red pencils, and 9 blue pencils. How many pencils does he have altogether? _48__ pencils

Answer: The number of pencils = 48.

Explanation: In the above-given question, given that, the numbers are 24, 36, and 13. 4 + 6 = 10 and 3 + 6 = 9. 10 + 9 = 19. 1 + 2 + 3 = 6. 24 + 36 + 13 = 73.

Question 3. What number is 10 more than 127? ____137_____

Explanation: In the above-given question, given that, the number is 127. 10 more than 127 = 128. the number is 137.

Question 4. Mr. Howard’s phone has 4 rows of buttons. There are 3 buttons in each row. How many buttons are on Mr. Howard’s phone? _12_ buttons

Answer: The number of buttons = 12.

Explanation: In the above-given question, given that, Mr. Howard’s phone has 4 rows of buttons. there are 3 buttons in each row. 4 x 3 = 12. the number of buttons = 12. Question 5. Bob tosses 8 horseshoes. Liz tosses 9 horseshoes. How many horseshoes do they toss? 8 + 9 = _17_ horseshoes

Answer: The number of horseshoes = 17.

Explanation: In the above-given question, given that, Bob tosses 8 horseshoes. Liz tosses 9 horseshoes. 8 + 9 = 17. The number of horseshoes = 17.

Question 6. What number can be written 3 hundreds 1 ten 5 ones? __315_______

Explanation: In the above-given question, given that, The number can be written has 3 hundreds 1 ten 5 ones. the number is 315.

## Lesson 4.12 Algebra • Find Sums for 4 Addends

Essential Question What are some ways to add 4 numbers?

Show how you solved each problem.

Math Talk MATHEMATICAL PRACTICES Describe how you found the answer to the first problem.

Question 13. GO DEEPER Some friends need 100 bows for a project. Sara brings 12 bows, Angela brings 50 bows, and Nora brings 34 bows. How many more bows do they need? _4_ more bows

Answer: The number of more bows = 4.

Explanation: In the above-given question, given that, Sara brings 12 bows, Angela brings 50 bows, and Nora brings 34 bows. 12 + 50 + 34 = 96. 100 – 4 = 96. The number of bows needed more = 4. Solve. Write or draw to explain.

Question 15. MATHEMATICAL PRACTICE Evaluate How many shells did the four children collect at the beach? _96_ shells

Answer: The number of shells = 96.

Explanation: In the above-given question, given that, 34 + 15 + 26 + 21 = 96. The number of shells = 96.

Question 16. GO DEEPER Which two children collected more shells at the beach, Katie and Paul, or Noah and Laura? _Katie__and___Noah______

Answer: The two children collected more shells = Katie and Noah.

Explanation: In the above-given question, given that, Katie collected 36 shells. Noah collected 26 shells. The number of shell collected Katie and Noah.

Question 17. THINK SMARTER There were 24 red beads, 31 blue beads, and 8 green beads in a jar. Then Emma put 16 beads into the jar. Write a number sentence to show the number of beads in the jar.

TAKE HOME ACTIVITY • Have your child explain what he or she learned in this lesson.

## Algebra • Find Sums for 4 Addends Homework & Practice 4.12

Solve. Show how you solved the problem.

Question 7. Kinza jogs 16 minutes on Monday, 13 minutes on Tuesday, 9 minutes on Wednesday, and 20 minutes on Thursday. What is the total number of minutes she jogged? _58_ minutes

Answer: The number of minutes she jogged = 58.

Explanation: In the above-given question, given that, the numbers are 16, 35, 24, and 14. 6 + 5 = 11 and 4 + 4 = 8. 11 + 8 = 19. 1 + 2 + 1 + 3 = 7. 16 + 35 + 24 + 14 = 89.

Question 3. Laura had 6 daisies. Then she found 7 more daisies. How many daisies does she have now? 6 + 7 = _13_ daisies

Answer: The number of daisies she have now = 13.

Explanation: In the above-given question, given that, Laura had 6 daisies. Then she found 7 more daisies. 6 + 7 = 13. The number of daisies she has now = 13.

Question 5. Alan has 25 trading cards. He buys 8 more. How many cards does he have now? 25 + 8 = _33_ cards

Answer: The number of cards = 33.

Explanation: In the above-given question, given that, Alan has 25 trading cards. He buys 8 more. 25 + 8 = 33. The number of cards = 33.

Question 6. Jen saw 13 guinea pigs and 18 gerbils at the pet store. How many pets did she see? 13 + 18 = _31_ pets

Answer: The number of pets = 31.

Explanation: In the above-given question, given that, Jen saw 13 guinea pigs and 18 gerbils at the pet store. 13 + 18 = 31. The number of pets = 31.

## 2-Digit Addition Chapter 4 Review/Test

Answer: The number of muffins Beth bake = 42.

Answer: The number of keys = 103.

Mike sees _42_ cars.

Answer: The number of cars = 42.

Describe how you solved the problem. __________________________ __________________________

Answer: The number of pencils = 80.

Explanation: In the above-given question, given that, Jerry has 53 pencils in one drawer. He has 27 pencils in another drawer. the number of pencils = 80.

Answer: The number of birds = 21.

Question 6. Matt says he can find the sum of 45 + 50 without rewriting it. Explain how you can solve this problem using mental math. __________________________ __________________________

Answer: The number of signs at the theater = 78.

Explanation: In the above-given question, given that, Section A has 35 seats. Section B has 43 seats. 35 + 43 = 78. The number of signs at the theater = 78.

Question 8. Leah put 21 white marbles, 31 black marbles, and 7 blue marbles in a bag. Then her sister added 19 yellow marbles. Write a number sentence to show the number of marbles in the bag. __21___+_31__+__7_=___59____________

Answer: The number of marbles = 59.

Explanation: In the above-given question, given that, Leah put 21 white marbles, 31 black marbles, and 7 blue marbles in a bag. 21 + 31 + 7 = 59. The number of marbles = 59.

Explanation: In the above-given question, given that, the numbers are 51 and 92. 51 + 92 = 143.

Explanation: In the above-given question, given that, the numbers are 27 and 42. 27 + 42 = 69.

Explain how you decided which pairs have a sum greater than 100. __________________________ __________________________ __________________________

Answer: The pairs which have a sum greater than 100 = 51 + 92, and 82 + 33.

Explanation: In the above-given question, given that, the pairs are 51 + 92 and 82 + 33. The numbers have greater than 100.

Answer: The number of paper clips = 32.

Question 12. Mr. O’Brien visited a lighthouse. He climbed 26 stairs. Then he climbed 64 more stairs to the top. How many stairs did he climb at the lighthouse? _90_ stairs

Answer: The number of stairs he climbed at the lighthouse = 90.

Explanation: In the above-given question, given that, Mr. O’Brien visited a lighthouse. He climbed 26 stairs. Then he climbed 64 more stairs to the top. 26 + 64 = 90. The number of stairs he climbed at the lighthouse = 90.

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2. Lesson 2 Homework Practice Powers And Exponents 2020-2023

3. Practice And Homework Lesson 2.6 Answer Key

4. Lesson 2-4 Additional Practice Answer Key › Athens Mutual Student Corner

5. Solved Practice and Homework Lesson 2.2 Common Core COMMON

6. Lesson 2 Homework Practice

June 27, 2022 / By Prasanna Start your preparation in the right way with our McGraw Hill My Math Grade 4 Answer Key. Quick and easy learning is possible with McGraw Hill My Math Grade 4 Answers Volume 1 & 2. So, Kickstart your preparation with McGraw Hill My Math Volume 1 & 2 Grade 4 Solution Key and score better marks in the exams.

2. Go Math 4th grade Lesson 2.2 Comparison Problems

0:00 / 16:06 Go Math 4th grade Lesson 2.2 Comparison Problems Magedy Math 883 subscribers Subscribe 4.2K views 3 years ago Common Core State Standards 4.OA.A.2 Multiply or divide to...

Chapter 11 Angles Chapter 12 Relative Sizes of Measurement Units Chapter 13 Algebra: Perimeter and Area Grade 4 Homework Practice FL. Common Core - Grade 4 - Practice Book Chapter 1 Place Value, Addition, and Subtraction to One Million (Pages 1- 20) Chapter 2 Multiply by 1-Digit Numbers (Pages 21 - 47)

4. Texas Go Math Grade 4 Lesson 2.4 Answer Key Relate Hundredths and

Answer: It is given that In the 2008 Summer Olympic Games, the winning time in the men's 100-meter butterfly race was only 1100 second faster than the second-place time Hence, from the above, We can conclude that The numbers we need to use are: 1 and 100 You can write hundredths as fractions or decimals.

5. Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8

Go Math Answer Key: HMH Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8 are provided helps students to have learning targets and achieve success at chapter and lesson level and makes learning visible. Download Go Math Answer Key for Grades K-8 | HMH Go Math Solution Key for Grades Kindergarten, 1, 2, 3, 4, 5, 6, 7, 8

Common core - Common mistakes. Use the repeated-addition strategy to solve 5x3. If you answer the question with 5+5+5=15, you would be wrong. The correct answer is 3+3+3+3+3. Mathematically, both are correct. But under Common Core, you're supposed to read 5x3 as "five groups of three." So "three groups of five" is wrong.

7. 4th grade GO Math-Lesson 2.2 Comparison Problems pages 51-54

This video covers Lesson 2.2 Comparison Problems on pages 51-54 of the 4th grade GO Math textbook.

Math is a crucial subject that requires constant practice and reinforcement. By the time your child reaches 4th grade, they are expected to master a variety of math concepts and skills, such as number sense, operations, fractions, decimals, geometry, measurement, data analysis, and more.These skills are essential for building a strong foundation for higher-level math and developing critical ...

Unit 1: Place value 0/1400 Mastery points Intro to place value Writing whole numbers in expanded form Writing whole numbers in written form Regrouping whole numbers How 10 relates to place value Comparing multi-digit numbers Unit 2: Addition, subtraction, and estimation 0/500 Mastery points

10. Find answer key, pdf, and resources for Math & ELA text books for the

Find Math, English language arts (ELA) resources to practice & prepare lesson plans online with pdf, answer key, videos, apps, and worksheets for grades 3-8 on Lumos Learning.

11. Everyday Mathematics

Selected Answers. 2-3. Factors and Factor Pairs. factor. product. factor pair. arrays. divisibility. Home Link 2-3 English Español Selected Answers. 2-4. Multiples. multiple. Home Link 2-4 English Español Selected Answers. 2-5. Prime and Composite Numbers. prime number. composite number

12. enVisionmath2.0 Common Core (K-5)

enVisionmath2.0 brings key math ideas to life. After every problem-based learning activity, the Visual Learning Bridge makes concepts explicit with visual instruction. And we've developed an even more interactive way to promote conceptual understanding—the Visual Learning Animation Plus, an exclusive digital experience for every lesson.

Relate Tenths and Decimals - Lesson 9.1. Relate Hundredths and Decimals - Lesson 9.2. Equivalent Fractions and Decimals - Lesson 9.3. Relate Fractions, Decimals, and Money - Lesson 9.4. Problem Solving With Money - Lesson 9.5. Add Fractional Parts of 10 and 100 - Lesson 9.6. Compare Decimals - Lesson 9.7.

Use Strategies to Add and Subtract Homework & Practice 2.4. Lesson: 5 Problem Solving: Addition and Subtraction. Lesson 2.5 Problem Solving: Addition and Subtraction ... Keep in touch with our site to avail updates on Class Specific Big Ideas Math Book 4th Grade Answer Key Chapter 2 Add and Subtract Multi-Digit Numbers at your fingertips.

15. Go Math Grade 4 Chapter 2 Answer Key Pdf Multiply by 1-Digit Numbers

Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers. questions are explained in a basic way that students will never feel any difficulty in learning. By this, students can gain good knowledge and this is helpful in finish student's assignments also. Lesson 1: Algebra • Multiplication Comparisons

16. PDF Lesson 2 Homework Answer Key

Lesson 2 Homework Date 1/7 1. 2. Draw a picture to show the division. Express your answer as a fraction. a. b. c. 1+4 3+5 7+4 Using a picture, show how six people could share four sandwiches. Then, write an equation and solve. Interpret a fraction as division. 9/17/14 COMMON CORE Lesson 2: Date: ny engage This work is licensed under a

17. PDF Go Math! Practice Book (TE), G5

2 Lesson 2.2 COMMON CORE STANDARD CC.5.NBT.6 Perform operations with multi-digit whole numbers and with decimals to hundredths. 4. 336 7 48 n = 214; dividend 62 r2 139 Find the value of n in each equation. Write what n represents in the related division problem. n = 135; dividend 6. 643 = 4 x 160 + n remainder Problem Solving REAL WORLD 8.