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Go Math! 3 Student Edition, Grade: 3 Publisher: Houghton Mifflin Harcourt

Go math 3 student edition, title : go math 3 student edition, publisher : houghton mifflin harcourt, isbn : 547352026, isbn-13 : 9780547352022, use the table below to find videos, mobile apps, worksheets and lessons that supplement go math 3 student edition., textbook resources.

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go math grade 3 homework book answers

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SOCIAL STUDIES

PROFESSIONAL DEVELOPMENT

Go math hero WF1628515 new

HMH Go Math! ® K-6

Built for teacher and student success.

Go Math! for Grades K–6 combines trusted content, practice, and games with user-friendly tools aimed at guiding every learner toward mastery.

The Tools to Engage Learners at All Levels

Go Math! has provided trusted content for more than seven million students worldwide. Now we’ve incorporated more supports to ensure every teacher can feel confident teaching math. The program emphasizes ease of use, bringing together assessment, personalized and adaptive practice, and on-demand professional learning, on one manageable system.

One Time-Saving Platform

Go Math! sets teachers up for success with a practical roadmap for daily lesson planning, assessment that automatically places students into personalized, adaptive practice, and access to rich professional development resources—all on a single platform.

Go math ed discover WF1628515

Dynamic Personalization

Embedded Waggle activities, available in English and Spanish, deliver dynamic personalized learning based on Go Math!’s sequence or students’ grade level.​

​Customers using NWEA ® MAP ® Growth™ with Waggle ® will benefit from automatic placement into personalized pathways. MAP Growth scores seamlessly integrate into Waggle , ensuring that students start at their appropriate grade equivalency level.

Go math waggle differentiator WF1628515

Ready-to-Go Resources

Our Tabletop Flipchart enhances small-group math instruction with ready-made mini lessons for targeted skills support. Additionally, Go Math! offers abundant resources for centers, differentiated math instruction , and the Tier 2 and Tier 3 supports teachers know and trust.

Go math flipbook WF1628515

Attention, Current Go Math! Customers

Our new and improved Go Math! curriculum for Grades K–6 has arrived and is ready to meet the demands of today’s classrooms. Rest assured, we are still here to support teachers using the current version of the program.

Authentic Learning Connections

Go Math! is designed using the proven 5E instructional model , guiding students toward proficiency by building on their previous understanding of mathematical concepts. Embedded formative math assessments ensure students get the support they need.

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Math Talk for Collaboration

Embedded Math Talk and collaborative activities encourage lively discourse. Students of all languages feel safe to participate in the math community. Math Talk, new Launch Lessons, Math Centers, and games offer fun opportunities for investigation and discussion.

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Acceleration for Every Learner

Waggle goes beyond adaptive practice to complement daily lessons in supporting students at all proficiency levels with curated practice and learning activities that address individual skill gaps.

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Streamlined Instruction

Customizable Lesson Presentations

Our streamlined lesson planning, which includes ready-made, editable Classroom Lesson Presentations, saves teachers hours of work.

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Wida-Aligned Resources

Support for Multilingual Learners

Go Math! now includes extensive, WIDA-aligned supports for multilingual learners for every lesson, and additional proficiency-level support for pulled small-groups is available via the Tabletop Flipchart.

Go math wida aligned WF1628515

Teacher Success Pathways

Unlimited Implementation Support

Embedded on-demand training and week-by-week planning guidance build teacher confidence in just 30 days, putting them on a clear pathway to success.

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The Power of Connected Teaching and Learning

Ed , HMH's learning platform, offers a connected teaching experience for Go Math! where assessment informs personalized practice, and teachers get the support they need, when they need it—all on one seamless system.

Benchmark Assessment

Personalized skill practice.

  • Professional Learning

NWEA MAP Growth is the most trusted and innovative interim assessment for measuring achievement and growth in K–12 math, reading, language usage, and science. It provides teachers with accurate, actionable evidence to help inform instructional strategies regardless of whether students are performing at, above, or below grade level.​

Benchmark Assessments Go Math update

Waggle ® aligns with Go Math! ’s scope and sequence to easily reinforce instruction. The program takes advantage of the latest research on the gamification of learning and provides students the opportunity to work on isolated skills and standards with fun, engaging activities.

Go math waggle personalized skill practice WF1628515

Unlimited Professional Learning

Teacher’s Corner , exclusively from HMH, connects teachers across the globe in the Breakroom and in live online webinars. Teacher’s Corner also puts real-world classroom videos and best practices at teachers’ fingertips, on their schedule.

Go math teachers corner WF1628515

Learn how Go Math! boosts teacher and student success.

Insights & Resources

Teaching math to ells hero

7 Strategies for Teaching Math to English Language Learners

These ELL strategies for math instruction will help you with teaching math to English language learners and supporting math learning for multilingual students.

Richard Blankman

September 10, 2021

Technology and personalized learning hero

Technology and Personalized Learning

Discover the benefits of technology and personalized learning in the classroom—and digital tools that can automate the personalized learning process.

Aoife Dempsey

April 1, 2022

WF1565451 Mathematical Knowledge for Teaching Hero Teachers

Coaching for Mathematical Knowledge for Teaching

In order to teach math well, teachers need a specialized type of knowledge called mathematical knowledge for teaching.

Dr. Sue Chapman

May 13, 2022

Go Math!: Research Evidence Base

  • Report Type: Research Evidence Base
  • Grade Level: Elementary, Middle
  • Demonstrates a Rationale

GO Math!: 2015 Elementary Grades Efficacy Study

  • Report Type: Efficacy Study, Study Conducted by Third Party
  • Region: Midwest, Northeast, West
  • District Urbanicity: Urban, Suburban, Rural

GO Math!: Randomized Control Trial (RCT) 2-Year Study, Grades 1, 2, and 3

  • Grade Level: Elementary
  • Region: Midwest, Northeast, Southwest, West
  • District Urbanicity: Suburban, Rural
  • Moderate Evidence

GO Math!: Quasi-Experimental Design (QED) Study, Grades 3, 4, and 5

  • District Urbanicity: Urban, Suburban
  • Promising Evidence

GO Math!: Efficacy Study, Grades 2–4

  • Region: Midwest, Northeast

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Go Math! Multilingual Support

  • Texas Go Math
  • Big Ideas Math
  • Engageny Math
  • McGraw Hill My Math
  • enVision Math
  • 180 Days of Math
  • Math in Focus Answer Key
  • Math Expressions Answer Key
  • Privacy Policy

CCSS Math Answers

Go Math, Big Ideas Math, Engage NY Eureka Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8

  • HMH Into Math Answer Key
  • 180 Days of Math Answer Key
  • Grade 1-2 Quiz
  • Grade 3-5 Quiz
  • Grade 6-8 Quiz
  • Grade 9-10 Quiz
  • Grade 11-12 Quiz
  • Big Ideas Math Answers
  • Go Math Answer Key
  • enVision Math Answer Key
  • Eureka Math Answer Key

Everyday Mathematics Answer Key

  • Math Tables
  • Data Handling
  • Skip Counting
  • Missing Number Worksheets
  • Numbers Name and Expanded Form
  • 180 Days of Math for Kindergarten Answer Key
  • 180 Days of Math for First Grade Answer Key
  • 180 Days of Math for Second Grade Answer Key
  • 180 Days of Math for Third Grade Answer Key
  • 180 Days of Math for Fourth Grade Answer Key
  • 180 Days of Math for Fifth Grade Answer Key
  • 180 Days of Math for Sixth Grade Answer Key
  • HMH Into Math Kindergarten Answer Key
  • HMH Into Math Grade 1 Answer Key
  • HMH Into Math Grade 2 Answer Key
  • HMH Into Math Grade 3 Answer Key
  • HMH Into Math Grade 4 Answer Key
  • HMH Into Math Grade 5 Answer Key
  • HMH Into Math Grade 6 Answer Key
  • HMH Into Math Grade 7 Answer Key
  • HMH Into Math Grade 8 Answer Key
  • Envision Math Answer Key
  • Envision Math Common Core Grade K Answer Key
  • Envision Math Common Core Grade 1 Answer Key
  • Envision Math Common Core Grade 2 Answer Key
  • Envision Math Common Core Grade 3 Answer Key
  • Envision Math Common Core Grade 4 Answer Key
  • Envision Math Common Core Grade 5 Answer Key
  • Envision Math Common Core Grade 6 Answer Key
  • Envision Math Common Core Grade 7 Answer Key
  • Envision Math Common Core Grade 8 Answer Key

BIg Ideas Math Answers

Elementary school big ideas math answers solutions.

  • Big Ideas Math Answers Grade K
  • Big Ideas Math Answers Grade 1
  • Big Ideas Math Answers Grade 2
  • Big Ideas Math Answers Grade 3
  • Big Ideas Math Answers Grade 4
  • Big Ideas Math Answers Grade 5

Middle School Big Ideas Math Answers Solutions

  • Big Ideas Math Answers Grade 6
  • Big Ideas Math Answers Grade 6 Advanced
  • Big Ideas Math Answers Grade 7
  • Big Ideas Math Answers Grade 7 Advanced
  • Big Ideas Math Answers Grade 7 Accelerated
  • Big Ideas Math Answers Grade 8

High School Big Ideas Math Answers Solutions

  • Big Ideas Math Algebra 1 Answers
  • Big Ideas Math Algebra 2 Answers
  • Big Ideas Math Geometry Answers
  • Everyday Mathematics Kindergarten Answer Key
  • Everyday Mathematics Grade 1 Answer Key
  • Everyday Mathematics Grade 2 Answer Key
  • Everyday Mathematics Grade 3 Answer Key
  • Everyday Mathematics Grade 4 Answer Key
  • Everyday Mathematics Grade 5 Answer Key
  • Everyday Mathematics Grade 6 Answer Key

Elementary School Eureka Math Answers

  • Eureka Math Pre K Answer Key
  • Eureka Math Kindergarten Answer Key
  • Eureka Math Grade 1 Answer Key
  • Eureka Math Grade 2 Answer Key
  • Eureka Math Grade 3 Answer Key
  • Eureka Math Grade 4 Answer Key

Intermediate School Eureka Math Answers

  • Eureka Math Grade 5 Answer Key
  • Eureka Math Grade 6 Answer Key
  • Eureka Math Grade 7 Answer Key
  • Eureka Math Grade 8 Answer Key

High School/Commencement Level Eureka Math Answers

  • Eureka Math Algebra 1 Answer Key
  • Eureka Math Geometry Answer Key
  • Eureka Math Algebra 2 Answer Key
  • Go Math Grade K Answer Key
  • Go Math Grade 1 Answer Key
  • Go Math Grade 2 Answer Key

Go Math Grade 3 Answer Key

Go math grade 4 answer key, go math grade 5 answer key, go math grade 6 answer key.

  • Go Math Grade 7 Answer Key

Go Math Grade 8 Answer Key

Math topics.

  • Factorization
  • Linear Inequations
  • Mensuration
  • Quadratic Equations
  • Lines and Angles
  • Ratio and Proportion
  • Significant Figures
  • Square Root
  • Simultaneous Linear Equations
  • Parallelogram
  • Quadrilateral
  • Three-Dimensional Figures
  • Volume of Cubes and Cuboids
  • Area of a Trapezium
  • Area of a Polygon

Grade 3 HMH Go Math – Answer Keys

  • Chapter 1: Addition and Subtraction within 1,000
  • Chapter 2: Represent and Interpret Data
  • Chapter 3: Understand Multiplication
  • Chapter 4: Multiplication Facts and Strategies
  • Chapter 5: Use Multiplication Facts
  • Chapter 6: Understand Division
  • Chapter 7: Division Facts and Strategies
  • Chapter 8: Understand Fractions
  • Chapter 9: Compare Fractions
  • Chapter 10: Time, Length, Liquid Volume, and Mass
  • Chapter 11: Perimeter and Area
  • Chapter 12:Two-Dimensional Shapes

Grade 3 HMH Go Math – Extra Practice Questions and Answers

  • Chapter 1: Addition and Subtraction within 1,000 Extra Practice
  • Chapter 2: Represent and Interpret Data Extra Practice
  • Chapter 3: Understand Multiplication Extra Practice
  • Chapter 4: Multiplication Facts and Strategies Extra Practice
  • Chapter 5: Use Multiplication Facts Extra Practice
  • Chapter 6: Understand Division Extra Practice
  • Chapter 7: Division Facts and Strategies Extra Practice
  • Chapter 8: Understand Fractions Extra Practice
  • Chapter 9: Compare Fractions Extra Practice
  • Chapter 10: Time, Length, Liquid Volume, and Mass Extra Practice
  • Chapter 11: Perimeter and Area Extra Practice
  • Chapter 12: Two-Dimensional Shapes Extra Practice

Common Core Grade 4 HMH Go Math – Answer Keys

  • Chapter 1 Place Value, Addition, and Subtraction to One Million
  • Chapter 2 Multiply by 1-Digit Numbers
  • Chapter 3 Multiply 2-Digit Numbers
  • Chapter 4 Divide by 1-Digit Numbers
  • Chapter 5 Factors, Multiples, and Patterns
  • Chapter 6 Fraction Equivalence and Comparison
  • Chapter 7 Add and Subtract Fractions
  • Chapter 8 Multiply Fractions by Whole Numbers
  • Chapter 9 Relate Fractions and Decimals
  • Chapter 10 Two-Dimensional Figures
  • 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)
  • Chapter 3 Multiply 2-Digit Numbers  (Pages 49- 65)
  • Chapter 4 Divide by 1-Digit Numbers  (Pages 67 – 93)
  • Chapter 5 Factors, Multiples, and Patterns  (Pages 95 – 109)
  • Chapter 6 Fraction Equivalence and Comparison  (Pages 111 – 129)
  • Chapter 7 Add and Subtract Fractions  (Pages 131 – 153)
  • Chapter 8 Multiply Fractions by Whole Numbers  (Pages 155- 167)
  • Chapter 9 Relate Fractions and Decimals  (Pages 169- 185)
  • Chapter 10 Two-Dimensional Figures  (Pages 187- 204)
  • Chapter 11 Angles  (Pages 205- 217)
  • Chapter 12 Relative Sizes of Measurement Units  (Pages 219- 244)
  • Chapter 13 Algebra: Perimeter and Area  (Pages 245- 258)

Grade 4 Homework FL. – Answer Keys

  • Chapter 2 Multiply by 1-Digit Numbers Review/Test
  • Chapter 3 Multiply 2-Digit Numbers Review/Test
  • Chapter 4 Divide by 1-Digit Numbers Review/Test
  • Chapter 5 Factors, Multiples, and Patterns Review/Test
  • Chapter 6 Fraction Equivalence and Comparison Review/Test
  • Chapter 7 Add and Subtract Fractions Review/Test
  • Chapter 8 Multiply Fractions by Whole Numbers Review/Test
  • Chapter 9 Relate Fractions and Decimals Review/Test
  • Chapter 10 Two-Dimensional Figures Review/Test
  • Chapter 11 Angles Review/Test
  • Chapter 12 Relative Sizes of Measurement Units Review/Test
  • Chapter 13 Algebra: Perimeter and Area Review/Test
  • Chapter 1: Place Value, Multiplication, and Expressions
  • Chapter 2: Divide Whole Numbers
  • Chapter 3: Add and Subtract Decimals
  • Chapter 4: Multiply Decimals
  • Chapter 5: Divide Decimals
  • Chapter 6: Add and Subtract Fractions with Unlike Denominators
  • Chapter 7: Multiply Fractions
  • Chapter 8: Divide Fractions
  • Chapter 9: Algebra: Patterns and Graphing
  • Chapter 10: Convert Units of Measure
  • Chapter 11: Geometry and Volume
  • Chapter 1: Divide Multi-Digit Numbers
  • Chapter 2: Fractions and Decimals
  • Chapter 3: Understand Positive and Negative Numbers
  • Chapter 4: Model Ratios
  • Chapter 5: Model Percents
  • Chapter 6: Convert Units of Length
  • Chapter 7: Exponents
  • Chapter 8: Solutions of Equations
  • Chapter 9: Independent and Dependent Variables
  • Chapter 10: Area of Parallelograms
  • Chapter 11: Surface Area and Volume
  • Chapter 12: Data Displays and Measures of Center
  • Chapter 13: Variability and Data Distributions

Go Math Answer Key for Grade 7

  • Chapter 1: Adding and Subtracting Integers
  • Chapter 2: Multiplying and Dividing Integers
  • Chapter 3: Rational Numbers
  • Chapter 4: Rates and Proportionality
  • Chapter 5: Percent Increase and Decrease
  • Chapter 6: Algebraic Expressions
  • Chapter 7: Writing and Solving One-Step Inequalities
  • Chapter 8: Modeling Geometric Figures
  • Chapter 9: Circumference, Area, and Volume
  • Chapter 10: Random Samples and Populations
  • Chapter 11: Analyzing and Comparing Data
  • Chapter 12: Experimental Probability
  • Chapter 13: Theoretical Probability and Simulations
  • Chapter 1 Real Numbers
  • Chapter 2 Exponents and Scientific Notation
  • Chapter 3 Proportional Relationships
  • Chapter 4 Nonproportional Relationships
  • Chapter 5 Writing Linear Equations
  • Chapter 6 Functions
  • Chapter 7 Solving Linear Equations
  • Chapter 8 Solving Systems of Linear Equations
  • Chapter 9 Transformations and Congruence
  • Chapter 10 Transformations and Similarity
  • Chapter 11 Angle Relationships in Parallel Lines and Triangles
  • Chapter 12 The Pythagorean Theorem
  • Chapter 13 Volume
  • Chapter 14 Scatter Plots
  • Chapter 15 Two-Way Tables

K12 Math Solutions

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Go Math Grade 5 Chapter 3 Answer Key Pdf Add and Subtract Decimals

Go Math Grade 5 Chapter 3 Answer Key Pdf: The most extensive collection of free Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals PDF is available here. If you choose the right place for your practice, you may find the best way of learning in your life. Searching for an answer for math questions will hesitate the students. When the students have a clear idea of an answer, then they can make their process of solving easy and learn quickly. So, to help the students, we included Go Math Grade 5 Chapter 3 Add and Subtract Decimals PDF Solution Key. You can get the Go Math Grade 5 Answer Key for free.

Add and Subtract Decimals Go Math Grade 5 Chapter 3 Answer Key Pdf

HMH Go Math Grade 5 Answer Key PDF is easy-to-use and understand. You can get the questions, answers, explanations along with the practice questions. You get the best results by practicing with Go math grade 5 Chapter 3 Answer Key. No fees required to refer HMH Go Math Grade 5 Answer Key. Just open and use it at your comfort level. Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals are easy to download and easy to use. You can get free access to all the solutions and explanations. Make your practice easier using Go Math Grade 5 Chapter 3 Solution Key.

Lesson 1: Investigate • Thousandths

  • Thousandths – Page No. 111
  • Thousandths Lesson Check – Page No. 112

Lesson 2: Place Value of Decimals

  • Place Value of Decimals – Page No. 115
  • Place Value of Decimals Lesson Check – Page No. 116

Lesson 3: Compare and Order Decimals

  • Compare and Order Decimals – Page No. 119
  • Compare and Order Decimals Lesson Check – Page No. 120

Lesson 4: Round Decimals

  • Round Decimals – Page No. 123
  • Round Decimals Lesson Check – Page No. 124

Lesson 5: Investigate • Decimal Addition

  • Decimal Addition – Page No. 127
  • Decimal Addition Lesson Check – Page No. 128

Lesson 6: Investigate • Decimal Subtraction

  • Decimal Subtraction – Page No. 131
  • Decimal Subtraction Lesson Check – Page No. 132

Mid-Chapter Checkpoint

  • Mid-Chapter Checkpoint – Page No. 133
  • Mid-Chapter Checkpoint Lesson Check – Page No. 134

Lesson 7: Estimate Decimal Sums and Differences

  • Estimate Decimal Sums and Differences – Page No. 137
  • Estimate Decimal Sums and Differences Lesson Check – Page No. 138

Lesson 8: Add Decimals

  • Add Decimals – Page No. 140
  • Add Decimals Lesson Check – Page No. 141
  • Add Decimals Lesson Check 1 – Page No. 142

Lesson 9: Subtract Decimals

  • Subtract Decimals – Page No. 144
  • Subtract Decimals Lesson Check – Page No. 145
  • Unlock the Problem – Page No. 146

Lesson 10: Algebra • Patterns with Decimals

  • Patterns with Decimals – Page No. 149
  • Patterns with Decimals Lesson Check – Page No. 150

Lesson 11: Problem Solving • Add and Subtract Money

  • Add and Subtract Money – Page No. 153
  • Add and Subtract Money Lesson Check – Page No. 154

Lesson 12: Choose a Method

  • Choose a Method – Page No. 156
  • Choose a Method Lesson Check – Page No. 157
  • Choose a Method Lesson Check 1 – Page No. 158

Review/Test

  • Review/Test – Page No. 159
  • Review/Test – Page No. 160
  • Review/Test – Page No. 161
  • Review/Test – Page No. 162
  • Review/Test – Page No. 163
  • Review/Test – Page No. 164

Share and Show – Page No. 111

Write the decimal shown by the shaded parts of each model.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 1

Answer: 0.665

Explanation: The given picture shows 6 hundredths, 6 tenths, and 5 thousandths are shaded 665/1000 = 0.665

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 2

Answer: 0.398

Explanation: The given picture shows 3 hundredths, 9 tenths, and 8 thousandths are shaded 398/1000 = 0.398

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 3

Answer: 0.181

Explanation: The given picture shows 1 hundredth, 8 tenths, and 1 thousandth are shaded 181/1000 = 0.181

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 4

Answer: 0.990

Explanation: The given picture shows 9 hundredth, 9 tenths, and 0 thousandths are shaded 990/1000 = 0.990

Complete the sentence.

Question 5. 0.6 is 10 times as much as ______ . ______

Answer: \(\frac{6}{100}\) = 0.06

Explanation: Let the unknown number is S 0.6 = 10S S = 0.6/10 = \(\frac{6}{10}\) x \(\frac{1}{10}\) S = \(\frac{6}{100}\) = 0.06

Question 6. 0.007 is \(\frac{1}{10}\) of _______ . ______

Answer: 0.07

Explanation: Let the unknown number is S 0.007 = \(\frac{1}{10}\)S S = 0.007 x 10 = 0.07

Question 7. 0.008 is \(\frac{1}{10}\) of ________ . ______

Answer: 0.08

Explanation: Let the unknown number is S 0.008 = \(\frac{1}{10}\)S S = 0.008 x 10 = 0.08

Go Math Grade 5 Chapter 3 Pdf Question 8. 0.5 is 10 times as much as ______. ______

Answer: 0.05

Explanation: Let the unknown number is S 0.5 = 10S S = 0.5/10 = \(\frac{5}{10}\) x \(\frac{1}{10}\) S = \(\frac{5}{100}\) = 0.05

Use place-value patterns to complete the table.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 5

Explanation: 0.2 is 10 times as much as Let the unknown number is S 0.2 = 10S S = 0.2/10 = 0.02 0.2 is 1/10 of 0.2 = S/10 S = 0.2 x 10 = 2 0.07 is 10 times as much as Let the unknown number be S 0.07 = 10S S = 0.07/10 = 0.007 0.07 is 1/10 of 0.07 = S/10 S = 0.07 x 10 = 0.7 0.05 is 10 times as much as Let the unknown number be S 0.05 = 10S S = 0.05/10 = 0.005 0.05 is 1/10 of 0.05 = S/10 S = 0.05 x 10 = 0.5 0.4 is 10 times as much as Let the unknown number be S 0.4 = 10S S = 0.4/10 = 0.04 0.4 is 1/10 of 0.4 = S/10 S = 0.4 x 10 = 4

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 6

Explanation: 0.06 is 10 times as much as Let the unknown number is S 0.06 = 10S S = 0.06/10 = 0.006 0.06 is 1/10 of 0.06 = S/10 S = 0.06 x 10 = 0.6 0.9 is 10 times as much as Let the unknown number is S 0.9 = 10S S = 0.9/10 = 0.09 0.9 is 1/10 of 0.9 = S/10 S = 0.9 x 10 = 9 0.3 is 10 times as much as Let the unknown number is S 0.3 = 10S S = 0.3/10 = 0.03 0.3 is 1/10 of 0.3 = S/10 S = 0.3 x 10 = 3 0.08 is 10 times as much as Let the unknown number is S 0.08 = 10S S = 0.08/10 = 0.006 0.08 is 1/10 of 0.08 = S/10 S = 0.08 x 10 = 0.8

Problem Solving Applications – Page No. 112

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 7

Question 17. A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee. Then he showed another image of the bee that is 10 times as large as the first image. What is the length of the bee in the second image? ______ meters

Answer: 2.5 meters

Explanation: A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee. carpenter bee = 0.025 The first image = 0.025 x 10 = 0.25 The second image = 10 times as large as the first image = 0.25 x 10 = 2.5

Go Math Grade 5 Chapter 3 Answer Key Question 18. Math Explain how you can use place value to describe how 0.05 and 0.005 compare. Type below: _________

Answer: Both numbers have 0 ones. So, we cannot compare these two numbers. Look at the tenths. Both numbers have 0 tenths. So, we cannot compare these numbers. Look at the hundredths. The first number has 5 hundredths. The second number has 0 hundredths. So, 0.05 > 0.005

Question 19. Use Repeated Reasoning Terry, Sasha, and Harry each chose a number. Terry’s number is ten times as much as Sasha’s. Harry’s number is \(\frac{1}{10}\) of Sasha’s. Sasha’s number is 0.4. What number did each person choose? Terry’s number: ______ Harry’s number: ______

Answer: Terry’s number: 4 Harry’s number: 0.04

Explanation: Sasha’s number is 0.4 Terry’s number is ten times as much as Sasha’s. Terry’s number = 10 x 0.4 = 10 x \(\frac{4}{10}\) = 4 Harry’s number is \(\frac{1}{10}\) of Sasha’s. Harry’s number = \(\frac{1}{10}\) x 0.4 = \(\frac{1}{10}\) x \(\frac{4}{10}\) = \(\frac{4}{100}\) = 0.04 Sasha’s number is 0.4 Terry’s number is 4 Harry’s number is 0.04

Question 20. An atlas beetle is about 0.14 of a meter long. How does the length of the atlas beetle compare to the length of a leafcutting bee? Type below: _________

Answer: An atlas beetle is about 0.14 of a meter long. length of a leafcutting bee = 0.014 1 tenth is greater than 0 tenths. So, 0.14 > 0.014 So, atlas beetle length is greater than the length of a leafcutting bee

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 8

Answer: 0.65 is 10 times as much as 0.065 0.65 is \(\frac{1}{10}\) of 6.5

Explanation: 0.65 is 10 times as much as 0.65 = 10S S = 0.65/10 = 0.065 0.65 is \(\frac{1}{10}\) of 0.65 x 10 = 6.5 So, 0.65 is 10 times as much as 0.065 0.65 is \(\frac{1}{10}\) of 6.5

Share and Show – Page No. 115

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 10

Explanation: 3 x 1 = 3 5 Tenths = 5 x 1/10 = 0.5 2 hundredths = 2 x 1/100 = 0.02 3 thousandths = 3 x 1/1000 = 0.003

Write the value of the underlined digit.

Question 2. 0.5 4 3 Type below: _________

Answer: 0.04

Explanation: (0 x 1) + (5 x \(\frac{1}{10}\)) + (4 x \(\frac{1}{100}\)) + (3 x \(\frac{1}{1000}\)) 4 x \(\frac{1}{100}\) = 4 hundredths = 0.04

Question 3. 6. 2 34 Type below: _________

Answer: 0.2

Explanation: (6 x 1) + (2 x \(\frac{1}{10}\)) + (3 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) 2 x \(\frac{1}{10}\) = 2 tenths = 0.2

Go Math Grade 5 Chapter 3 Review Test Question 4. 3.95 4 Type below: _________

Answer: 0.004

Explanation: (3 x 1) + (9 x \(\frac{1}{10}\)) + (5 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) 4 x \(\frac{1}{1000}\) = 4 thousandths = 0.004

Write the number in two other forms.

Question 5. 0.253 Type below: _________

Answer: Word Form: two hundred fifty-three thousandths Expanded Form: (0 x 1) + (2 x \(\frac{1}{10}\)) + (5 x \(\frac{1}{100}\)) + (3 x \(\frac{1}{1000}\))

Question 6. 7.632 Type below: _________

Answer: Word Form: seven and six hundred thirty-two thousandths Expanded Form: (7 x 1) + (6 x \(\frac{1}{10}\)) + (3 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\))

On Your Own

Question 7. 0.4 9 6 Type below: _________

Answer: 0.09

Explanation: (0 x 1) + (4 x \(\frac{1}{10}\)) + (9 x \(\frac{1}{100}\)) + (6 x \(\frac{1}{1000}\)) 9 x \(\frac{1}{100}\) = 9 hundredths = 0.09

Question 8. 2. 7 26 Type below: _________

Answer: 0.7

Explanation: (2 x 1) + (7 x \(\frac{1}{10}\)) + (2 x \(\frac{1}{100}\)) + (6 x \(\frac{1}{1000}\)) 7 x \(\frac{1}{10}\) = 0.7

Question 9. 1.06 6 Type below: _________

Answer: 0.006

Explanation: (1 x 1) + (0 x \(\frac{1}{10}\)) + (6 x \(\frac{1}{100}\)) + (6 x \(\frac{1}{1000}\)) 6 x \(\frac{1}{1000}\) = 0.006

Go Math Grade 5 Chapter 3 Mid Chapter Checkpoint Answer Key Question 10. 6. 3 99 Type below: _________

Answer: 0.3

Explanation: (6 x 1) + (3 x \(\frac{1}{10}\)) + (9 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\)) 3 x \(\frac{1}{10}\) = 0.3

Question 11. 0.00 2 Type below: _________

Answer: 0.002

Explanation: (0 x 1) + (0 x \(\frac{1}{10}\)) + (0 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\)) 2 x \(\frac{1}{1000}\) = 0.002

Question 12. 4.37 1 Type below: _________

Answer: 0.001

Explanation: (4 x 1) + (3 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (1 x \(\frac{1}{1000}\)) 1 x \(\frac{1}{1000}\) = 0.001

Question 13. 0.489 Type below: _________

Answer: Word Form: four hundred eighty-nine thousandths Expanded Form: (0 x 1) + (4 x \(\frac{1}{10}\)) + (8 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\))

5th Grade Go Math Chapter 3 Review Test Question 14. 5.916 Type below: _________

Answer: Word Form: five and nine hundred sixteen thousandths Expanded Form: (5 x 1) + (9 x \(\frac{1}{10}\)) + (1 x \(\frac{1}{100}\)) + (6 x \(\frac{1}{1000}\))

Problem Solving Applications – Page No. 116

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 11

Question 15. What is the value of the digit 7 in New Mexico’s average annual rainfall? Type below: _________

Explanation: New Mexico’s average annual rainfall = 0.372 (0 x 1) + (3 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\)) 7 x \(\frac{1}{100}\) = 0.07

Question 16. Which of the states has an average annual rainfall with the least number in the thousandths place? What is another way to write the total annual rainfall in this state? _________

Answer: Wisconsin (0 x 1) + (8 x \(\frac{1}{10}\)) + (2 x \(\frac{1}{100}\)) + (0 x \(\frac{1}{1000}\))

Explanation: California = 0.564 New Mexico = 0.372 New York = 1.041 Wisconsin = 0.820 Maine = 1.074 The state that has an average annual rainfall with the least number in the thousandths place 0 < 1 < 2 < 4. So, the state is Wisconsin. Another way to write the total annual rainfall in Wisconsin state is (0 x 1) + (8 x \(\frac{1}{10}\)) + (2 x \(\frac{1}{100}\)) + (0 x \(\frac{1}{1000}\))

Question 17. Verify the Reasoning of Others Damian wrote the number four and twenty-three thousandths as 4.23. Describe and correct his error. Type below: _________

Answer: four and twenty-three thousandths = 4 ones and 0 tenths, 2 hundredths, three thousandths = 4.023. He has written 4.23 which is wrong.

Go Math 5th Grade Chapter 3 Add and Subtract Decimals Question 18. Dan used a meter stick to measure some seedlings in his garden. One day, a corn stalk was 0.85 m tall. A tomato plant was 0.850 m. A carrot top was 0.085 m. Which plant was the shortest? _________

Answer: the carrot top is the shortest plant

Explanation: Dan used a meter stick to measure some seedlings in his garden. One day, a corn stalk was 0.85 m tall. A tomato plant was 0.850 m. A carrot top was 0.085 m. 0 tenths are less than the 8 tenths. So, 0.085 is less than 0.85 or 0.850. So, the carrot top is the shortest plant.

Question 19. Math Explain how you know that the digit 6 does not have the same value in the numbers 3.675 and 3.756. Type below: _________

Answer: In 3.675, the digit of 6 is in the tenths place. So, its value is 6 x 1/10 or 0.6. In 3.756, the digit of 6 is in the thousandths place, so its value is 6 x 1/1000 or 0.006.

Question 20. What is the value of the underlined digit? Mark all that apply. 0.589 Options: a. 0.8 b. 0.08 c. eight tenths d. eight hundredths e. 8 × (\(\frac{1}{10}\))

Answer: b. 0.08 d. eight hundredths

Explanation: (0 x 1) + (5 x \(\frac{1}{10}\)) + (8 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\)) 8 x \(\frac{1}{100}\) = 8 hundredths = 0.08

Share and Show – Page No. 119

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 12

Answer: 3.472 > 3.445 They differ in hundredths position

Explanation: Compare the ones; 3 = 3 Compare the tenths; 4 = 4 Compare the hundredths; 7 > 4 So, 3.472 > 3.445

Compare. Write <, >, or =.

Question 2. 4.563 ______ 4.536

Answer: 4.563 > 4.536

Explanation: Compare the ones; 4 = 4 Compare the tenths; 5 = 5 Compare the hundredths; 6 > 3 So, 4.563 > 4.536

Go Math Grade 5 Chapter 3 Review/Test Answer Key Pdf Question 3. 5.640 ______ 5.64

Answer: 5.640 = 5.64

Explanation: Compare the ones; 5 = 5 Compare the tenths; 6 = 6 Compare the hundredths; 4 = 4 Compare the thousandths; 0 = 0 So, 5.640 = 5.64

Question 4. 8.673 ______ 8.637

Answer: 8.673 > 8.637

Explanation: Compare the ones; 8 = 8 Compare the tenths; 6 = 6 Compare the hundredths; 7 > 3 So, 8.673 > 8.637

Name the greatest place-value position where the digits differ.

Name the greater number.

Question 5. 3.579; 3.564 ______

Answer: 3.579 > 3.564 The greatest place-value position where the digits differ are hundredths

Explanation: Compare the ones; 3 = 3 Compare the tenths; 5 = 5 Compare the hundredths; 7 > 6 So, 3.579 > 3.564 The greatest place-value position where the digits differ are hundredths

Question 6. 9.572; 9.637 ______

Answer: 9.572 < 9.637 The greatest place-value position where the digits differ are tenths

Explanation: Compare the ones; 9 = 9 Compare the tenths; 5 < 6 So, 9.572 < 9.637 The greatest place-value position where the digits differ are tenths

Question 7. 4.159; 4.152 ______

Answer: 4.159 > 4.152 The greatest place-value position where the digits differ are thousandths

Explanation: Compare the ones; 4 = 4 Compare the tenths; 1 = 1 Compare the hundredths; 5 = 5 Compare the thousandths; 9 > 2 So, 4.159 > 4.152 The greatest place-value position where the digits differ are thousandths

Order from least to greatest.

Question 8. 4.08; 4.3; 4.803; 4.038

Answer: 4.038, 4.08, 4.3, 4.803

Explanation: Compare the ones; All are equal Compare the tenths; 0 < 3 < 8. So, 4.08, 4.038, 4.3, 4.803 Compare the hundredths of 4.08 and 4.038; 8 > 3 So, 4.038, 4.08, 4.3, 4.803

Go Math Grade 5 Chapter 3 Test Question 9. 1.703; 1.037; 1.37; 1.073

Answer: 1.037, 1.073, 1.37, 1.703

Explanation: Compare the ones; All are equal Compare the tenths; 0 < 3 < 7. So, 1.037; 1.073; 1.37; 1.703 Compare the hundredths of 1.037 and 1.073; 3 < 7 So, 1.037, 1.073, 1.37, 1.703

Question 10. 8.72 ______ 8.720

Answer: 8.72 = 8.720

Explanation: Compare the ones; 8 = 8 Compare the tenths; 7 = 7 Compare the hundredths; 2 = 2 Compare the thousands; 0 = 0 So, 8.72 = 8.720

Question 11. 5.4 ______ 5.243

Answer: 5.4 > 5.243

Explanation: Compare the ones; 5 = 5 Compare the tenths; 4 > 2 So, 5.4 > 5.243

Question 12. 1.036 ______ 1.306

Answer: 1.036 < 1.306

Explanation: Compare the ones; 1 = 1 Compare the tenths; 0 < 3 So, 1.036 < 1.306

Question 13. 2.573 ______ 2.753

Answer: 2.573 < 2.753

Explanation: Compare the ones; 2 = 2 Compare the tenths; 5 < 7 So, 2.573 < 2.753

Question 14. 9.300 ______ 9.3

Answer: 9.300 = 9.3

Explanation: Compare the ones; 9 = 9 Compare the tenths; 3 = 3 Compare the hundredths; 0 = 0 Compare the thousands; 0 = 0 So, 9.300 = 9.3

Go Math Pdf Grade 5 Chapter 3 Lesson 3.3 Answer Key Question 15. 6.76 ______ 6.759

Answer: 6.76 > 6.759

Explanation: Compare the ones; 6 = 6 Compare the tenths; 7 = 7 Compare the hundredths; 6 > 5 So, 6.76 > 6.759

Order from greatest to least.

Question 16. 2.007; 2.714; 2.09; 2.97 ______ ; ______ ; ______ ; ______

Answer: 2.97; 2.714; 2.09; 2.007

Explanation: Compare the ones; All are equal Compare the tenths; 0 < 7 < 9. So, 2.007; 2.09; 2.714; 2.97 Compare the hundredths of 2.007 and 2.09; 0 < 9 So, 2.007; 2.09; 2.714; 2.97 Order from greatest to least = 2.97; 2.714; 2.09; 2.007

Question 17. 0.386; 0.3; 0.683; 0.836 ______ ; ______ ; ______ ; ______

Answer: 0.836; 0.683; 0.386; 0.3

Explanation: Compare the ones; All are equal Compare the tenths; 0 < 3 < 6 < 8. So, 0.386; 0.3; 0.683; 0.836 Compare the hundredths of 0.386 and 0.3; 8 > 0 So, 0.3; 0.386; 0.683; 0.836 Order from greatest to least = 0.836; 0.683; 0.386; 0.3

Question 18. 5.249; 5.43; 5.340; 5.209 ______ ; ______ ; ______ ; ______

Answer: 5.43; 5.340; 5.249; 5.209

Explanation: Compare the ones; All are equal Compare the tenths; 2 < 3 < 4. So, 5.249; 5.209; 5.340; 5.43 Compare the hundredths of 5.249 and 5.209; 4 > 0 So, 5.209; 5.249; 5.340; 5.43 Order from greatest to least = 5.43; 5.340; 5.249; 5.209

Question 19. 0.678; 1.678; 0.587; 0.687 ______ ; ______ ; ______ ; ______

Answer: 1.678; 0.687; 0.678; 0.587

Explanation: Compare the ones; 0 < 1 So, 0.678; 0.587; 0.687; 1.678 Compare the tenths of 0.678; 0.587; 0.687; 5 < 6. So, 0.587; 0.678; 0.687; 1.678 Compare the hundredths of 0.678 and 0.687; 7 < 8 So, 0.587; 0.678; 0.687; 1.678 Order from greatest to least = 1.678; 0.687; 0.678; 0.587

Use Reasoning Algebra Find the unknown digit to make each statement true.

Question 20. 3.59 > 3.5 ______ 1 > 3.572

Answer: 3.59 > 3.581 > 3.572

Explanation: The possible values are 3.573; 3.574; 3.575; 3.578; 3.579; 3.580; 3.581; 3.582; 3.583; 3.584; 3.585; 3.586; 3.587; 3.588; 3.589; The digit that ends with 1 is 3.581. So, the unknown digit is 3.581

Go Math Grade 5 Answer Key Chapter 3 Compare and Order Decimals Lesson 3.3 Question 21. 6.837 > 6.83 ______ > 6.835

Answer: 6.837 > 6.836 > 6.835

Explanation: The value must be 6.836. Because 6 is the only digit between 5 and 7. So, the unknown digit is 6.836

Question 22. 2.45 < 2 ______ 6 < 2.461

Answer: 2.45 < 2.456 < 2.461

Explanation: 2.451; 2.452; 2.453; 2.454; 2.455; 2.456; 2.457; 2.458; 2.459; 2.460; 2.461 The digit that ends with 6 is 2.456. So, the unknown digit is 2.456

Problem Solving Applications – Page No. 120

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 13

Question 23. In comparing the height of the mountains, which is the greatest place value where the digits differ? _________

Answer: The greatest place value where the digits differ is hundredths

Explanation: 3.104; 3.134; 3.152 0 hundredths < 3 hundredths < 5 hundredths 3.152; Mount Steele, Yukon is the greatest mountain. The greatest place value where the digits differ is hundredths.

Question 24. Use Math Vocabulary How does the height of Mount Steele compare to the height of Mount Blackburn? Compare the heights using words. Type below: _________

Answer: The Height of Mount Steele is greater than Height of Mount Blackburn.

Explanation: Height of Mount Steele = 3.152 Height of Mount Blackburn = 3.104 3.152 > 3.104 The Height of Mount Steele is greater than the Height of Mount Blackburn.

Lesson 3 Add and Subtract Whole Numbers Answer Key Question 25. Explain how to order the heights of the mountains from greatest to least. Type below: _________

Answer: 3.152 > 3.134 > 3.104

Explanation: 3.104; 3.134; 3.152 0 hundredths < 3 hundredths < 5 hundredths 3.152 > 3.134 > 3.104

Question 26. What if the height of Mount Blackburn were 0.05 miles greater? Would it then be the mountain with the greatest height? Explain. ______

Answer: Height of Mount Blackburn = 3.104 + 0.05 = 3.154 3.154 > 3.152 > 3.134. Yes, Mount Blackburn would have the greatest height if it had been 0.05 miles greater.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 14

Answer: Least: 3.09; 3.75; 4.04; 4.09; 4.42 Greatest

Explanation: 3.75; 4.42; 4.09; 3.09; 4.04 3 < 4 3.75; 3.09; 4.42; 4.09; 4.04 Compare tenths of 3.75 and 3.09; 0 < 7 3.09; 3.75; 4.42; 4.09; 4.04 Compare tenths of 4.42; 4.09; 4.04; 0 <4 3.09; 3.75; 4.09; 4.04; 4.42 Compare hundredths of 4.09 and 4.04; 4 < 9 So, 3.09; 3.75; 4.04; 4.09; 4.42

Share and Show – Page No. 123

Write the place value of the underlined digit. Round each number to the place of the underlined digit.

Question 1. 0.6 7 3 Place value: ________ Round: ________

Answer: Place value: 7 hundredths = 0.07 Round: 0.670

Explanation: 0.6 7 3 (0 x 1) + (6 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (3 x \(\frac{1}{1000}\)) Place Value: 7 x \(\frac{1}{100}\) = 7 hundredths = 0.07 0.6 7 3 3 < 5 0.670

Question 2. 4. 2 82 Place value: ________ Round: ________

Answer: Place value: 2 tenths = 0.2 Round: 4.300

Explanation: 4. 2 82 (4 x 1) + (2 x \(\frac{1}{10}\)) + (8 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\)) Place Value: 2 x \(\frac{1}{10}\) = 2 tenths = 0.2 4. 2 82 8 > 5 4.300

Go Math Grade 5 Chapter 3 Lesson 3.4 Answer Key Question 3. 1 2 .917 Place value: ________ Round: ________

Answer: Place value: 2 ones = 2 Round: 13

Explanation: 1 2 .917 (1 x 10) + (2 x 1) + (9 x \(\frac{1}{10}\)) + (1 x \(\frac{1}{100}\)) + (7 x \(\frac{1}{1000}\)) Place Value: 2 x 1 = 2 ones = 2 1 2 .917 9 > 5 13

Name the place value to which each number was rounded.

Question 4. 0.982 to 0.98 ________

Answer: The hundredths

Explanation: As 2 < 5, We round 0.982 to 0.98. The place value of the digit 8 is hundredths. The hundredths

Question 5. 3.695 to 4 ________

Answer: The ones

Explanation: As 6 > 5, We round 3.695 to 4. The place value of the digit 3 is ones. The ones

Question 6. 7.486 to 7.5 ________

Answer: The tenths

Explanation: As 8 > 5, We round 7.486 to 7.5. The place value of the digit 4 is tenths. The tenths

Question 7. 0. 5 92 Place value: ________ Round: ________

Answer: Place value: 5 tenths = 0.5 Round: 0.6

Explanation: 0. 5 92 (0 x 1) + (5 x \(\frac{1}{10}\)) + (9 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\)) Place Value: 5 x \(\frac{1}{10}\) = 5 tenths = 0.5 0. 5 92 9 > 5 0.6

Go Math Grade 5 Lesson 3.4 Answer Key Question 8. 6 .518 Place value: ________ Round: ________

Answer: Place value: 6 ones = 6 Round: 7

Explanation: 6 .518 (6 x 1) + (5 x \(\frac{1}{10}\)) + (1 x \(\frac{1}{100}\)) + (8 x \(\frac{1}{1000}\)) Place Value: 6 x 1 = 6 ones = 6 6 .518 5 = 5 7

Question 9. 0.8 0 9 Place value: ________ Round: ________

Answer: Place value: 0 hundredths = 0 Round: 0.8

Explanation: 0.8 0 9 (0 x 1) + (8 x \(\frac{1}{10}\)) + (0 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\)) Place Value: 0 x \(\frac{1}{100}\) = 0 hundredths = 0 0.8 0 9 0 < 5 0.800

Question 10. 3. 3 34 Place value: ________ Round: ________

Answer: Place value: 7 tenths = 0.7 Round: 3

Explanation: 3. 3 34 (3 x 1) + (3 x \(\frac{1}{10}\)) + (3 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) Place Value: 3 x \(\frac{1}{10}\) = 7 tenths = 0.7 3. 3 34 3 < 5 3.000

Question 11. 12. 0 74 Place value: ________ Round: ________

Answer: Place value: 0 tenths = 0 Round: 12.1

Explanation: 12. 0 74 (1 x 10) + (2 x 1) + (0 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) Place Value: 0 x \(\frac{1}{10}\) = 0 tenths = 0 12. 0 74 7 > 5 12.1

Question 12. 4.4 9 4 Place value: ________ Round: ________

Answer: Place value: 9 hundredths = 0.09 Round: 4.49

Explanation: 4.4 9 4 (4 x 1) + (4 x \(\frac{1}{10}\)) + (9 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) Place Value: 9 x \(\frac{1}{100}\) = 9 hundredths = 0.09 4.4 9 4 4 < 5 4.49

Question 13. 0.328 to 0.33 ________

Explanation: As 8 > 5, We round 0.328 to 0.33. The place value of the digit 2 is hundredths. The hundredths

Question 14. 2.607 to 2.61 ________

Explanation: As 7 > 5, We round 2.607 to 2.61. The place value of the digit 0 is hundredths. The hundredths

Question 15. 12.583 to 13 ________

Explanation: As 5 = 5, We round 12.583 to 13. The place value of the digit 2 is one. The ones

Round 16.748 to the place named.

Question 16. tenths: ______

Answer: 16.7

Explanation: Round 16.748 to the nearest tenths The tenth digit is 7. So, 4 < 5 16.7

Question 17. hundredths: ______

Answer: 16.75

Explanation: Round 16.748 to the nearest hundredths The hundredth digit is 4. So, 8 > 5 16.75

Question 18. ones: ______

Explanation: Round 16.748 to the nearest ones The ones digit is 6. So, 7 > 5 17

Question 19. Explain what happens when you round 4.999 to the nearest tenth. Type below: _________

Explanation: round 4.999 to the nearest tenth The tenth digit is 9. So, 9 > 5 5

Problem Solving Applications – Page No. 124

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 15

Question 20. The speeds of two insects when rounded to the nearest whole number are the same. Which two insects are they? _________ _________

Answer: Bumblebee Honeybee

Explanation: Dragonfly = 6.974 meters; nearest whole number = 7 Horsefly = 3.934 meters; nearest whole number = 4 Bumblebee = 2.861 meters; nearest whole number = 3 Honeybee = 2.548 meters; nearest whole number = 3 Housefly = 1.967 meters; nearest whole number = 2 Bumblebee and Honeybee speeds are the same if their rounded to the nearest whole number.

Question 21. What is the speed of the housefly rounded to the nearest hundredth? ______ meters per second

Answer: 3.93 meters per second

Explanation: Horsefly = 3.934 meters rounded to the nearest hundredth The hundredth digit is 3. So, 4 < 5 3.93

Question 22. What’s the Error? Mark said that the speed of a dragonfly rounded to the nearest tenth was 6.9 meters per second. Is he correct? If not, what is his error? Type below: _________

Answer: Dragonfly = 6.974 meters rounded to the nearest tenth. The tenth digit is 9. So, 7 > 5 7. So, Mark said is wrong.

Question 23. A rounded number for the speed of an insect is 5.67 meters per second. What are the fastest and slowest speeds to the thousandths that could round to 5.67 meters per second? Explain. Type below: _________

Answer: The slowest speed to the thousandths that could round to 5.67 meters per second is 5.671 The fastest speed to the thousandths that could round to 5.67 meters per second is 5.674

Explanation: To find the slowest speed to the thousandths that could round to 5.67 meters per second we need to find the lowest digit which will not affect the digit in the hundredths place, and that is 1. So, the slowest speed to the thousandths that could round to 5.67 meters per second is 5.671. To find the fastest speed to the thousandths that could round to 5.67 meters per second we need to find the greatest digit which will not affect the digit in the hundredths place, and that is 4. So, the fastest speed to the thousandths that could round to 5.67 meters per second is 5.674.

Question 24. The price of a certain box of cereal at the grocery store is $0.258 per ounce. For numbers 24a–24c, select True or False for each statement. a. Rounded to the nearest whole number, the price is $1 per ounce. i. yes ii. no

Answer: ii. no

Explanation: $0.258 2 < 5. So, if we rounded to the nearest whole number, the value becomes 0.

Question 24. b. Rounded to the nearest tenth, the price is $0.3 per ounce. i. yes ii. no

Answer: i. yes

Explanation: $0.258 5 = 5 So, $3 is the answer.

Question 24. c. Rounded to the nearest hundredth, the price is $0.26 per ounce. i. yes ii. no

Explanation: $0.258 8 > 5 $0.26

Share and Show – Page No. 127

Complete the quick picture

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 16

Explanation: 1.37 + 1.85 = 3. 22 Add hundredths; 7 + 5 = 12; Regroup Add tenths; 3 + 8 + 1 = 12; Regroup Add tens; 1 + 1 + 1 = 3

Add. Draw a quick picture.

Question 2. 0.9 + 0.7 = ______

grade 5 chapter 3 Add and Subtract Decimals 127 image 2

Explanation: 0.9 + 0.7 = Add tenths 9 + 7 = 16; Regroup Add ones 0 + 0 + 1 = 1 0.9 + 0.7 = 1.6

Go Math Chapter 3 Test Grade 5 Lesson 3.5 Thousandths Question 3. 0.65 + 0.73 = ______

grade 5 chapter 3 Add and Subtract Decimals 127 image 3

Explanation: 0.65 + 0.73 = 1.38 Add hundredths 5 + 3 = 8; Add tenths 6 + 7 = 13; Regroup Add ones 0 + 0 + 1 = 1 0.65 + 0.73 = 1.38

Question 4. 1.3 + 0.7 = ______

grade 5 chapter 3 Add and Subtract Decimals 127 image 4

Explanation: Add tenths 3 + 7 = 10; Regroup Add ones 1 + 1 = 2 1.3 + 0.7 = = 2

Question 5. 2.72 + 0.51 = ______

grade 5 chapter 3 Add and Subtract Decimals 127 image 5

Explanation: Add hundredths 2 + 1 = 3 Add tenths 5 + 7 = 12; Regroup Add ones 2 + 0 + 1 = 3 2.72 + 0.51 = 3.23

Problem Solving Applications

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 17

Answer: Yes; Because she bought 2.35 pounds of chicken and 2.7 pounds 2.35 + 2.7 = 5.05 pounds. there is 5 ones and 5 hundredths.

Sense or Nonsense? – Page No. 128

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 18

Answer: Robyn’s work doesn’t make sense. Because 7 + 8 = 15. So, he needs to regroup and then add 1 to the one’s digits. 1 + 2 + 1 = 4 1.85 + 2.73 = 4.58 is the correct answer.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 19

Answer: Jim’s work makes sense. Add: 1.85 + 2.73 = 4.58. 4 ones, 5 tenths, and 8 hundredths.

Go Math Book 5th Grade Lesson 3.5 Answer Key Question 8. Make Arguments Explain how you would help Robyn understand that regrouping is important when adding decimals. Type below: _________

Answer: Regrouping is important when adding decimals. When you add two digits, if their addition is more than 10 then we need to regroup the values to find the correct answer.

Question 9. Write a decimal addition problem that requires regrouping the hundredths. Explain how you know you will need to regroup. Type below: _________

Answer: Let’s add 1.47 and 1.35 As we have more than 9 hundredths we have to regroup and mid the tenths. So, now we have 8 tenths and two-hundredths left. Also, as we have less than 9 tenths we do not have to regroup and add the ones. The answer is 2.82. As we have more than 9 hundredths we have to regroup and mid the tenths.

Share and Show – Page No. 131

Complete the quick picture to find the difference.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 20

Explanation: 0.62 − 0.18 Subtract hundredths:  2 – 8; There are not enough hundredths. So, regroup 12 – 8 = 4 Subtract tenths: 5 – 1 = 4 Subtract ones: 0 – 0 = 0 So, 0.62 − 0.18 = 0.44

Subtract. Draw a quick picture.

Question 2. 3.41 − 1.74 = ______

grade 5 chapter 3 Add and Subtract Decimals 131 image 2

Explanation: 3.41 − 1.74 Subtract hundredths:  1 – 4; There are not enough hundredths. So, regroup 11 – 4 = 7 Subtract tenths: 3 – 7 There are not enough tenths. So, regroup 13 – 7 = 6 Subtract ones: 2 – 1 = 1 So, 3.41 − 1.74 = 1.67

Question 3. 0.84 − 0.57 = ______

grade 5 chapter 3 Add and Subtract Decimals 131 image 3

Explanation: 0.84 − 0.57 Subtract hundredths:  4 – 7; There are not enough hundredths. So, regroup 14 – 7 = 7 Subtract tenths: 7 – 5 = 2 Subtract ones: 0 – 0 = 0 So, 0.84 − 0.57 = 0.27

Go Math Grade 5 Chapter 3 Lesson 3.6 Answer Key Question 4. 4.05 − 1.61 = ______

grade 5 chapter 3 Add and Subtract Decimals 131 image 4

Explanation: 4.05 − 1.61 Subtract hundredths:  5 – 1 = 4; Subtract tenths: 0 – 6 There are not enough hundredths. So, regroup 10 – 6 = 4 Subtract ones: 3 – 1 = 2 So, 4.05 − 1.61 = 2.44

Question 6. Write a decimal subtraction equation that requires regrouping from the tenths. Explain how you know you will need to regroup. Type below: __________

Answer: Subtract 0.32 and 0.05 Subtract hundredths. As there are not enough hundredths we have to regroup. So, we have 10 more hundredths and one-tenth I. Subtract tenths. As there are enough tenths we do not have to regroup. The answer: 0.27

Pose a Problem – Page No. 132

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 21

Answer: From the given picture, he has drawn eight-hundredths and crosses two-hundredths. Then, he has drawn six tenths and crossed four-tenths. When comes to ones. he has taken three ones and crossed two out of them. there are 7 – 2 = 5 hundredths 6 – 4 = 2 tenths 3 – 2 = 1 ones 1.25

Question 7. Use Reasoning Describe how you can change the problem by changing the quick picture. Type below: __________

Answer: By changing the quick picture, the value of place value is changed.

Question 8. The price of a box of markers at a retail store is $4.65. he price of a box of markers at the school bookstore is $3.90. How much more do the markers cost at the retail store? Explain how you can use a quick picture to solve the problem. $ ______

grade 5 chapter 3 Add and Subtract Decimals 131 image 5

Concepts and Skills – Page No. 133

Question 1. Explain how you can use base-ten blocks to find 1.54 + 2.37. Type below: __________

Answer: 1.54 + 2.37 Add hundredths 4 + 7 = 11; Regroup Add tenths 5 + 3 + 1 = 9; Add ones 2 + 1 = 3 1.54 + 2.37 = 3.91 We have to use three square boxes to show three ones, 9 lines to show 9 tenths, and 1 dot to show one hundredth

Question 2. 0.04 is \(\frac{1}{10}\) of

Answer: 0.04 is \(\frac{1}{10}\) of 0.4

Explanation: Let the unknown number is S 0.04 = \(\frac{1}{10}\)S S = 0.04 x 10 = 0.4

Question 3. 0.06 is 10 times as much as

Answer: \(\frac{6}{1000}\) = 0.006

Explanation: Let the unknown number is S 0.06 = 10S S = 0.06/10 S = \(\frac{6}{100}\) x \(\frac{1}{10}\) S = \(\frac{6}{1000}\) = 0.006

Question 4. 6.5 4 Type below: __________

Answer: 4 hundredths = 0.04

Explanation: (6 x 1) + (5 x \(\frac{1}{10}\)) + (4 x \(\frac{1}{100}\)) 4 x \(\frac{1}{100}\) = 4 hundredths = 0.04

Question 5. 0. 8 37 Type below: __________

Answer: 8 tenths = 0.8

Explanation: (0 x 1) + (8 x \(\frac{1}{10}\)) + (3 x \(\frac{1}{100}\)) + (7 x \(\frac{1}{1000}\)) 8 x \(\frac{1}{10}\) = 8 tenths = 0.8

Question 6. 8.70 2 Type below: __________

Answer: 2 thousandths = 0.002

Explanation: (8 x 1) + (7 x \(\frac{1}{10}\)) + (0 x \(\frac{1}{100}\)) + (2 x \(\frac{1}{1000}\)) 2 x \(\frac{1}{1000}\) = 2 thousandths = 0.002

Question 7. 9 .173 Type below: __________

Answer: 9 ones = 9

Explanation: (9 x 1) + (1 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (3 x \(\frac{1}{1000}\)) 9 x 1 = 9 ones = 9

Question 8. 6.52 _____ 6.520

Answer: 6.52 = 6.520

Explanation: Compare the ones; 6 = 6 Compare the tenths; 5 = 5 Compare the hundredths; 2 = 2 Compare the thousandths; 0 = 0 So, 6.52 = 6.520

Question 9. 3.589 _____ 3.598

Answer: 3.589 < 3.598

Explanation: Compare the ones; 3 = 3 Compare the tenths; 5 = 5 Compare the hundredths; 8 < 9 So, 3.589 < 3.598

Question 10. 8.483 _____ 8.463

Answer: 8.483 > 8.463

Explanation: Compare the ones; 8 = 8 Compare the tenths; 4 = 4 Compare the hundredths; 8 > 6 So, 8.483 > 8.463

Question 11. 0. 7 24 Place value: __________ Round: __________

Answer: Place value: 7 tenths = 0.7 Round: 0.7

Explanation: 0. 7 24 (0 x 1) + (7 x \(\frac{1}{10}\)) + (2 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) Place Value: 7 x \(\frac{1}{10}\) = 7 tenths = 0.7 0. 7 24 2 < 5 0.7

Question 12. 2 .576 Place value: __________ Round: __________

Answer: Place value: 2 ones = 2 Round: 3

Explanation: 2 .576 (2 x 1) + (5 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (6 x \(\frac{1}{1000}\)) Place Value: 2 x 1 = 2 ones = 2 2 .576 5 = 5 3

Question 13. 4.7 6 9 Place value: __________ Round: __________

Answer: Place value: 6 hundredths = 0.06 Round: 4.77

Explanation: 4.7 6 9 (4 x 1) + (7 x \(\frac{1}{10}\)) + (6 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\)) Place Value: 6 x \(\frac{1}{100}\)) = 6 hundredths = 0.06 4.7 6 9 9 > 5 4.77

Draw a quick picture to find the sum or difference.

Question 14. 2.46 + 0.78 =

grade 5 chapter 3 Add and Subtract Decimals 133 image 1

Explanation: 2.46 + 0.78 = 3.24

Question 15. 3.27 − 1.84 =

grade 5 chapter 3 Add and Subtract Decimals 133 image 2

Explanation: 3.27 − 1.84 = 1.43

Page No. 134

Question 16. Marco read that a honeybee can fly up to 2.548 meters per second. He rounded the number to 2.55. To which place value did Marco round the speed of a honeybee? __________

Answer: Marco read that a honeybee can fly up to 2.548 meters per second. He rounded the number to 2.55. The speed of a honeybee is 2.548. Marco has to round this number to the nearest hundredth to get 2.55. The digit in the hundredths places increases by 1. The 8 > 5 So, the rounded number is 2.55.

Question 17. What is the relationship between 0.04 and 0.004? Type below: __________

Answer: Compare ones; 0 = 0 Compare tenths; 0 = 0 Compare hundredths; 4 > 0 So, 0.04 > 0.004

Go Math Grade 5 Workbook Lesson 3.7 Answer Key Question 18. Jodi drew a quick picture to model the answer for 3.14 − 1.75. Draw what her picture might look like. Type below: __________

grade 5 chapter 3 Add and Subtract Decimals 133 image 3

Explanation: Jodi drew a quick picture to model the answer for 3.14 − 1.75 3.14 – 1.75 = 1.39

Question 19. The average annual rainfall in California is 0.564 of a meter per year. What is the value of the digit 4 in that number? Type below: __________

Answer: The average annual rainfall in California is 0.564 of a meter per year. (0 x 1) + (5 x \(\frac{1}{10}\)) + (6 x \(\frac{1}{100}\)) + (4 x \(\frac{1}{1000}\)) 4 x \(\frac{1}{1000}\) = 4 thousandths = 0.004

Question 20. Jan ran 1.256 miles on Monday, 1.265 miles on Wednesday, and 1.268 miles on Friday. What were her distances from greatest to least? _____ mi; _____ mi; _____ mi

Answer: 1.268 mi; 1.265 mi; 1.256 mi

Explanation: Jan ran 1.256 miles on Monday, 1.265 miles on Wednesday, and 1.268 miles on Friday. Compare hundredths: 6 > 5 So, 1.265; 1.268; 1.256 Compare thousandths in 1.265 and 1.268 8 > 5 1.268 mi; 1.265 mi; 1.256 mi

Share and Show – Page No. 137

Use rounding to estimate.

Question 1. 2.3 4 1.9 +5.2 3 ———— Estimate: _____

Answer: Estimate: About 9

Explanation: 2.34; 3 < 5; 2 1.9; 9 > 5; 2 5.23; 2 < 5; 5 Add: 2 + 2 + 5 = 9

Question 2. 10.3 9 -4.2 8 ———— Estimate: _____

Answer: Estimate: About 6

Explanation: 10.39; 3 < 5; 10 4.28; 2 < 5; 4 Subtract: 10 – 4 = 6

Go Math Lesson 3.7 5th Grade Answer Key Question 3. $ 19.7 5 +$3.9 8 ———— Estimate: $ _____

Answer: Estimate: About $24

Explanation: 19.7 5; 7 > 5; 20 3.98; 9 > 5; 4 20 + 4 = 24

Use benchmarks to estimate.

Question 4. 0.3 4 0.1 +0.2 5 ———— Estimate: _____

Answer: Estimate: About 0.55

Explanation: 0.3 4 is closer to 0.35 0.1 is closer to 0 0.25 0.35 + 0 + 0.25 = 0.55

Question 5. 10.3 9 -4.2 8 ———— Estimate: _____

Explanation: 10.3 9 is closer to 10 4.2 8 is closer to 4 10 – 4 = 6

Question 6. 0.9 3 +0.1 8 ———— Estimate: _____

Answer: Estimate: About 1

Explanation: 0.93; 9 >5; 1 0.18; 1 < 5; 0 1 + 0 = 1

Question 7. 7.4 1 -3.8 8 ———— Estimate: _____

Answer: Estimate: About 3

Explanation: 7.41; 4 < 5; 7 3.88; 8 > 5; 4 7 – 4 = 3

Question 8. 14.6 8 -3.9 3 ———— Estimate: _____

Answer: Estimate: About 11

Explanation: 14.68; 6 > 5; 15 3.93; 9 > 5; 4 15 – 4 = 11

Question 9. 12.4 1 -6.4 7 ———— Estimate: _____

Explanation: 12.41 is closer to 12 6.47 is closer to 6 12 – 6 = 6

Question 10. 8.1 2 -5.5 2 ———— Estimate: _____

Answer: Estimate: About 2

Explanation: 8.12 is closer to 8 5.52 is closer to 6 8 – 6 = 2

Question 11. 9.7 5 -3.4 7 ———— Estimate: _____

Answer: Estimate: About 7

Explanation: 9.75 is closer to 10 3.47 is closer to 3 10 – 3 = 7

Practice: Copy and Solve Use rounding or benchmarks to estimate.

Question 12. 12.83 + 16.24 Estimate: _____

Answer: Estimate: About 29

Explanation: 12.83; 8 > 5; 13 16.24; 2 <5; 16 13 + 16 = 29

Question 13. $26.92 − $11.13 Estimate: $ _____

Answer: Estimate: About $16

Explanation: 26.92; 9 > 5; 27 11.13; 1 < 5; 11 27 – 11 = 16

Go Math Grade 5 Lesson 3.7 Answer Key Question 14. 9.41 + 3.82 Estimate: _____

Answer: Estimate: About 13

Explanation: 9.41; 4 < 5; 9 3.82; 8 > 5; 4 9 + 4 = 13

Use Reasoning Estimate to compare. Write < or >.

Question 15. 2.74 + 4.22 _____ 3.13 + 1.87

Answer: 2.74 + 4.22 > 3.13 + 1.87

Explanation: 2.74; 7 > 5; 3 4.22; 2 < 5 ; 4 3 + 4 = 7 3.13; 1 < 5; 3 1.87; 8 > 5; 2 3 + 2 = 5 So, 7 > 5 2.74 + 4.22 > 3.13 + 1.87

Question 16. 6.25 – 2.39 _____ 9.79 – 3.84

Answer: 6.25 – 2.39 < 9.79 – 3.84

Explanation: 6.25; 2 < 5; 6 2.39; 3 < 5; 2 6 – 2 = 4 9.79; 7 > 5; 10 3.84; 8 >5; 4 10 – 4 = 6 4 < 6 6.25 – 2.39 < 9.79 – 3.84

Problem Solving Applications – Page No. 138

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 22

Question 17. For the week of April 4, 1964, the Beatles had the top four songs. About how long would it take to listen to these four songs? about _____ minutes

Answer: about 10 minutes

Explanation: Can’t Buy Me Love = 2.30 min She Loves You = 2.50 min I Want to Hold You Hand = 2.75 min Please Please Me = 2.00 min 2.30; 3 < 5; 2 2.50; 5 = 5; 3 2.75; 7 > 5; 3 2.00; 2 < 5; 2 2 + 3 + 3 + 2 = 10 min

Question 18. What’s the Error? Isabelle says she can listen to the first three songs in the table in 6 minutes. Type below: _________

Answer: Can’t Buy Me Love = 2.30 min She Loves You = 2.50 min I Want to Hold You Hand = 2.75 min 2.30; 3 < 5; 2 2.50; 5 = 5; 3 2.75; 7 > 5; 3 2 + 3 + 3 = 8 minutes About 8 minutes

Question 19. Tracy ran a lap around the school track in 74.2 seconds. Malcolm ran a lap in 65.92 seconds. Estimate the difference in the times in which the students completed the lap. about _____ seconds

Answer: about 8 seconds

Explanation: Tracy ran a lap around the school track in 74.2 seconds. 74.2; 2 < 5; 74 Malcolm ran a lap in 65.92 seconds. 65.92; 9 > 5; 66 74 – 66 = 8 about 8 seconds

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 23

Question 20. Gina had a scrambled egg and a cup of low-fat milk for breakfast. She had an oat bran muffin for a morning snack. About how many more grams of protein did Gina have for breakfast than for a snack? about _____ grams

Answer: about 17 grams

Explanation: Gina had a scrambled egg and a cup of low-fat milk for breakfast. She had an oat bran muffin for a morning snack. 1 scrambled egg = 6.75 grams 1 cup shredded whear cereal = 5.56 grams 1 oat bran muffin = 3.99 grams 1 cup low-fat milk = 8.22 grams 6.75; 7 > 5; 7 8.22; 2 < 5; 8 3.99; 9 > 5; 4 7 + 2 + 9 = 18 The average 10-year-old needs 35 grams of protein daily. So, 35 – 18 = 17 Gina have 17 more grams of protein for breakfast than for a snack.

Question 21. Pablo had a cup of shredded wheat cereal, a cup of low-fat milk, and one other item for breakfast. He had about 21 grams of protein. What was the third item Pablo had for breakfast? _________

Answer: 6 grams

Explanation: 1 cup shredded wheat cereal = 5.56 grams 1 cup low-fat milk = 8.22 grams 5.56; 5 = 5; 6 8.22; 2 < 5; 9 6 + 9 = 15 15 + S = 21 grams S = 21 – 15 = 6 grams The third item Pablo had 6 grams for breakfast

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Estimate. Then find the sum.

Question 1. 2.5 +4.6 Estimate: _____ Sum: _____

Answer: Estimate: 8 Sum: 7.1

Explanation: 2.5 nearest whole number is 3 4.6 nearest whole number is 5 Estimate: 3 + 5 = 8 Sum: 2.5 + 4.6 = 7.1

Question 2. 8.7 5 +6.4 3 Estimate: _____ Sum: _____

Answer: Estimate: 15 Sum: 15.18

Explanation: 8.75 nearest whole number is 9 6.43 nearest whole number is 6 Estimate: 9 + 6 = 15 Sum: 8.75 + 6.43 = 15.18

Question 3. 2.0 3 +7.8 9 Estimate: _____ Sum: _____

Answer: Estimate: 10 Sum: 9.92

Explanation: 2.03 nearest whole number is 2 7.89 nearest whole number is 8 Estimate: 2 + 8 = 10 Sum: 2.03 + 7.89 = 9.92

Question 4. 6.34 + 3.8 = Estimate: _____ Sum: _____

Answer: Estimate: 10 Sum: 10.14

Explanation: 6.34 nearest whole number is 6 3.8 nearest whole number is 4 Estimate: 6 + 4 = 10 Sum: 6.34 + 3.8 = 10.14

5th Grade Go Math Chapter 3 Practice and Homework Lesson 3.8 Question 5. 5.63 + 2.6 = Estimate: _____ Sum: _____

Answer: Estimate: 9 Sum: 8.23

Explanation: 5.63 nearest whole number is 6 2.6 nearest whole number is 3 Estimate: 6 + 3 = 9 Sum: 5.63 + 2.6 = 8.23

On Your Own – Page No. 141

Connect Symbols and Words Find the sum.

Question 6. seven and twenty-five hundredths added to nine and four tenths Type below: ________

Answer: 7.25 + 9.4 = 16.65

Explanation: seven and twenty-five hundredths = 7.25 nine and four tenths = 9.4 7.25 + 9.4 = 16.65

Question 7. twelve and eight hundredths added to four and thirty-five hundredths Type below: ________

Answer: 12.08 + 4.35 = 16.43

Explanation: twelve and eight hundredths = 12.08 four and thirty-five hundredths = 4.35 12.08 + 4.35 = 16.43

Question 8. nineteen and seven tenths added to four and ninety-two hundredths Type below: ________

Answer: 19.7 + 4.92 = 24.62

Explanation: nineteen and seven tenths  = 19.7 four and ninety-two hundredths = 4.92 19.7 + 4.92 = 24.62

Question 9. one and eighty-two hundredths added to fifteen and eight tenths Type below: ________

Answer: 1.82 + 15.8 = 17.62

Explanation: one and eighty-two hundredths = 1.82 fifteen and eight tenths = 15.8 1.82 + 15.8 = 17.62

Practice: Copy and Solve Find the sum.

Question 10. 7.99 + 8.34 _____

Answer: 16.33

Explanation: 7.99 + 8.34 Add hundredths; 9 + 4 = 13; regroup Add tenths; 9 + 3 + 1 = 13; regroup Add tens; 7 + 8  + 1 = 16 16.33

Question 11. 15.76 + 8.2 _____

Answer: 23.96

Explanation: 15.76 + 8.2 Add hundredths; 6 + 0 = 6; Add tenths; 7 + 2 = 9; Add tens; 5 + 8  = 13; regroup Add hundreds; 1 + 1 = 2 23.96

Question 12. 9.6 + 5.49 _____

Answer: 15.09

Explanation: 9.6 + 5.49 Add hundredths; 0 + 9 = 9; Add tenths; 6 + 4 = 10; regroup; Add tens; 9 + 5 +  1 = 15; regroup 15.09

Question 13. 33.5 + 16.4 _____

Answer: 49.9

Explanation: 33.5 + 16.4 Add tenths; 5 + 4 = 9; Add tens; 3 + 6 = 9; Add hundreds; 3 + 1 = 4 49.9

Question 14. 9.84 + 21.52 _____

Answer: 31.36

Explanation: 9.84 + 21.52 Add hundredths; 4 + 2 = 6; Add tenths; 8 + 5 = 13; regroup Add tens; 9 + 1 + 1  = 11; regroup Add hundreds; 0 + 2 + 1 = 3 31.36

Question 15. 3.89 + 4.6 _____

Answer: 8.49

Explanation: 3.89 + 4.6 Add hundredths; 9 + 0 = 9; Add tenths; 8 + 6 = 14; Add tens; 3 + 4 + 1 = 8; 8.49

Question 16. 42.19 + 8.8 _____

Answer: 50.99

Explanation: 42.19 + 8.8 Add hundredths; 0 + 9 = 9; Add tenths; 1 + 8 = 9; Add tens; 2 + 8  = 10; regroup Add hundreds; 4 + 1 = 5 50.99

Question 17. 16.74 + 5.34 _____

Answer: 22.08

Explanation: 16.74 + 5.34 Add hundredths; 4 + 4 = 8; Add tenths; 7 + 3 = 10; regroup Add tens; 6 + 5 + 1 = 12; regroup Add hundreds; 1 + 1 = 2 22.08

Question 18. 27.58 + 83.9 _____

Answer: 111.48

Explanation: 27.58 + 83.9 Add hundredths; 8 + 0 = 8; Add tenths; 5 + 9 = 14; regroup Add tens; 7 + 3 + 1  = 11; regroup Add hundreds; 2 + 8 + 1 = 11 111.48

Question 19. Tania measured the growth of her plant each week. The first week, the plant’s height measured 2.65 decimeters. During the second week, Tania’s plant grew 0.7 decimeter. How tall was Tania’s plant at the end of the second week? Describe the steps you took to solve the problem. _____ decimeters

Answer: 3.35 decimeters

Explanation: Tania measured the growth of her plant each week. The first week, the plant’s height measured 2.65 decimeters. During the second week, Tania’s plant grew 0.7 decimeters. 2.65 + 0.7 = 3.35

Question 20. Maggie had $35.13. Then her mom gave her $7.50 for watching her younger brother. She was paid $10.35 for her old roller skates. How much money does Maggie have now? $ _____

Answer: $52.98

Explanation: Maggie had $35.13. Then her mom gave her $7.50 for watching her younger brother. She was paid $10.35 for her old roller skates. 35.13 + 7.50 + 10.35 = 52.98

Unlock the Problem – Page No. 142

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 24

Question 21. A city receives an average rainfall of 16.99 centimeters in August. One year, during the month of August, it rained 8.33 centimeters by August 15th. Then it rained another 4.65 centimeters through the end of the month. What was the total rainfall in centimeters for the month? a. What do you need to find? Type below: ________

Answer: We need to find out what was the total rainfall in centimeters for the month, so we have to find the sum 8.33+ 4.65.

Explanation: A city receives an average rainfall of 16.99 centimeters in August. One year, during the month of August, it rained 8.33 centimeters by August 15th. Then it rained another 4.65 centimeters through the end of the month. We need to find out what was the total rainfall in centimeters for the month, so we have to find the sum 8.33+ 4.65.

Question 21. b. What information are you given? Type below: ________

Answer: We know that one year during the month Aug., it rained 8.33 centimeters by Aug. 15th. Then it rained another 4.65 centimeters through the end of the month.

Question 21. c. How will you use addition to find the total number of centimeters of rain that fell? Type below: ________

Answer: We have to add the hundredths first, then the tenths and in the end the ones.

Question 21. d. Show how you solved the problem. Type below: ________

Answer: sum 8.33+ 4.65. Add the hundredths first. 3 hundredths + 5 hundredths = 8 hundredths. Add the tenths. 3 tenths + 6 tenths = 9 tenths. Add the ones. 8 + 4 = 12 tens Therefore, the sum is 8.33+ 4.65 = 12.98.

Question 21. e. Complete the sentence. It rained _________ centimeters for the month. ______ centimeters

Answer: 12.98 centimeters

Explanation: It rained 12.98 centimeters for the month.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 25

Answer: 3.17 pounds

grade 5 chapter 3 Add and Subtract Decimals 143 image 1

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Estimate. Then find the difference.

Question 1. 5.8 3 −2.1 8 ———- Estimate: ______ Difference: ______

Answer: Estimate: 4 Difference: 3.65

Explanation: 5.83 is closer to 6 2.18 is closer to 2 6 – 2 = 4 5.83 – 2.18 = 3.65

Question 2. 4.4 5 −1.8 6 ———– Estimate: ______ Difference: ______

Answer: Estimate: 2 Difference: 2.59

Explanation: 4.45 is closer to 4 1.86 is closer to 2 4 – 2 = 2 4.45 – 1.86 = 2.59

Question 3. 4.0 3 −2.2 5 ———- Estimate: ______ Difference: ______

Answer: Estimate: 2 Difference: 1.78

Explanation: 4.03 is closer to 4 2.25 is closer to 2 4 – 2 = 2 4.03 – 2.25 = 1.78

Find the difference. Check your answer.

Question 4. 0.7 0 −0.4 3 ———- ______

Answer: 0.27

Explanation: 0.70 − 0.43 Subtract hundredths: 0 – 3; There are not enough hundredths. So, regroup 10 – 3 = 7 Subtract tenths: 6 – 4 = 2 Subtract ones: 0 – 0 = 0 0.27 Check: 0.70 − 0.43 = 0.27 0.27 = 0.27

Question 5. 13.2 −8.0 4 ———- ______

Answer: 5.16

Explanation: 13.2 − 8.04 Subtract hundredths: 0 – 4; There are not enough hundredths. So, regroup 10 – 4 = 6 Subtract tenths: 1 – 0 = 1 Subtract ones: 3 – 8; There are not enough tens. So, regroup 13 – 8 = 5 Subtract hundreds: 0 – 0 = 0; 5.16 Check: 13.2 − 8.04 = 5.16 5.16 = 5.16

Go Math Grade 5 Chapter 3 Pdf Lesson 3.9 Answer Key Question 6. 15.8 −9.6 7 ———- ______

Answer: 6.13

Explanation: 15.8 − 9.67 Subtract hundredths: 0 – 7; There are not enough hundredths. So, regroup 10 – 7 = 3 Subtract tenths: 7 – 6 = 1 Subtract ones: 5 – 9; There are not enough ones. So, regroup 15 – 9 = 6 Subtract hundreds: 0 – 0 = 0; 6.13 Check: 15.8 − 9.67 = 6.13 6.13 = 6.13

On Your Own – Page No. 145

Connect Symbols and Words Find the difference.

Question 7. three and seventy-two hundredths subtracted from five and eighty-one hundredths ______

Answer: three and seventy-two hundredths = 3.72 five and eighty-one hundredths = 5.81 5.81 – 3.72 = 2.09

Question 8. one and six-hundredths subtracted from eight and thirty-two hundredths ______

Answer: one and six-hundredths = 1.06 eight and thirty-two hundredths = 8.23 8.23 – 1.06 = 7.17

Use Reasoning Algebra Write the unknown number for n.

Question 9. 5.28 − 3.4 = n n = ______

Answer: n = 1.88

Explanation: 5.28 − 3.4 = 1.88

Question 10. n − 6.47 = 4.32 n = ______

Answer: n = 10.79

Explanation: n − 6.47 = 4.32 n = 4.32 + 6.47 n = 10.79

Question 11. 11.57 − n = 7.51 n = ______

Answer: n = 4.06

Explanation: 11.57 − n = 7.51 11.57 = 7.51 + n n = 11.57 – 7.51 n = 4.06

Practice: Copy and Solve Find the difference.

Question 12. 8.42 − 5.14 = ______

Answer: 3.28

Explanation: 8.42 − 5.14 Subtract hundredths: 2 – 4; There are not enough hundredths. So, regroup 12 – 4 = 8 Subtract tenths: 3 – 1 = 2 Subtract ones: 8 – 5 = 3 3.28

Question 13. 16.46 − 13.87 = ______

Answer: 2.59

Explanation: 16.46 − 13.87 Subtract hundredths: 6 – 7; There are not enough hundredths. So, regroup 16 – 7 = 9 Subtract tenths: 3 – 8 There are not enough tenths. So, regroup 13 – 8 = 5 Subtract ones: 5 – 3 = 2; Subtract hundreds: 1 – 1 = 0; 2.59

Question 14. 34.27 − 17.51 = ______

Answer: 16.76

Explanation: 34.27 − 17.51 Subtract hundredths: 7 – 1 = 6; Subtract tenths: 2 – 5 There are not enough tenths. So, regroup 12 – 5 = 7; Subtract ones: 3 – 7 There are not enough ones. So, regroup 13 – 7 = 6 Subtract hundreds: 2 – 1 = 1; 16.76

Question 15. 15.83 − 11.45 = ______

Answer: 4.38

Explanation: 15.83 − 11.45 Subtract hundredths: 3 – 5; There are not enough hundredths. So, regroup 13 – 5 = 8 Subtract tenths: 7 – 4 = 3 Subtract ones: 5 – 1 = 4; Subtract hundreds: 1 – 1 = 0; 4.38

Question 16. 12.74 − 10.54 = ______

Answer: 2.2

Explanation: 12.74 − 10.54 Subtract hundredths: 4 – 4 = 0; Subtract tenths: 7 – 5 = 2 Subtract ones: 2 – 0 = 2; Subtract hundreds: 1 – 1 = 0; 2.20

Question 17. 48.21 − 13.65 = ______

Answer: 34.56

Explanation: 48.21 − 13.65 Subtract hundredths: 1 – 5; There are not enough hundredths. So, regroup 11 – 5 = 6 Subtract tenths: 1 – 6 There are not enough tenths. So, regroup 11 – 6 = 5 Subtract ones: 7 – 3 = 4; Subtract hundreds: 4 – 1 = 3; 34.56

Question 18. Beth finished a race in 3.35 minutes. Ana finished the race in 0.8 minute less than Beth. Fran finished the race in 1.02 minutes less than Ana. What was Fran’s time to finish the race in minutes? ______ minutes

Answer: 1.53 minutes

Explanation: Beth finished a race in 3.35 minutes. Ana finished the race in 0.8 minute less than Beth. 3.35 – 0.8 = 2.55 Fran finished the race in 1.02 minutes less than Ana. 2.55 – 1.02 = 1.53

Question 19. Fatima planted sunflower seeds in a flower patch. The tallest sunflower grew 2.65 meters tall. The height of the shortest sunflower was 0.34 meter less than the tallest sunflower. What was the height, in meters, of the shortest sunflower? ______ meters

Answer: 2.31 meters

Explanation: Fatima planted sunflower seeds in a flower patch. The tallest sunflower grew 2.65 meters tall. The height of the shortest sunflower was 0.34 meter less than the tallest sunflower. 2.65 – 0.34 = 2.31

Unlock the Problem – Page No. 146

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 26

Answer: We need to find how many more grams of protein are there than grams of carbohydrates.

Question 20. b. How will you use subtraction to find how many more grams of protein there are than grams of carbohydrates? Type below: _________

Answer: Grams of protein = 8.1 g grams of carbohydrates = 6.2g 8.1 – 6.2 = 1.9 grams

Question 20. c. Show how you solved the problem. Type below: _________

Answer: 8.1 – 6.2 Subtract tenths: 1 – 2 There are not enough tenths. So, regroup 11 – 2 = 9 Subtract ones: 7 – 6 = 1 1.9 grams

Question 20. d. Complete each sentence. The peanut butter has ______ grams of protein. The peanut butter has ______ grams of carbohydrates. There are ______ more grams of protein than grams of carbohydrates in the peanut butter. Type below: _________

Answer: The peanut butter has 8.1 grams of protein. The peanut butter has 6.2 grams of carbohydrates. There are 1.9 more grams of protein than grams of carbohydrates in the peanut butter.

Question 21. Kyle is building a block tower. Right now the tower stands 0.89 meters tall. How much higher does the tower need to be to reach a height of 1.74 meters? ______ meters

Answer: 0.85 meters

Explanation: Kyle is building a block tower. Right now the tower stands 0.89 meters tall. To reach a height of 1.74, 1.74 – 0.89 = 0.85

Question 22. Dialyn scored 2.5 points higher than Gina at a gymnastics event. Select the values that could represent each student’s gymnastics score. Mark all that apply. Options: a. Dialyn: 18.4 points, Gina: 16.9 points b. Dialyn: 15.4 points, Gina: 13.35 points c. Dialyn: 16.2 points, Gina: 13.7 points d. Dialyn: 19.25 points, Gina: 16.75 points

Answer: c. Dialyn: 16.2 points, Gina: 13.7 points d. Dialyn: 19.25 points, Gina: 16.75 points

Explanation: Dialyn scored 2.5 points higher than Gina at a gymnastics event. a. 18.4 – 16.9 = 1.5 b. 15.4 – 13.35 = 2.05 c. 16.2 – 13.7 = 2.5 d. 19.25 – 16.75 = 2.5

Share and Show – Page No. 149

Write a rule for the sequence.

Question 1. 0.5, 1.8, 3.1, 4.4, … Think: Is the sequence increasing or decreasing? Rule: _________

Answer: Add 1.3 to the previous term in the sequence to get the next one.

Explanation: Compare 0.5, 1.8; 0.5 < 1.8 The sequence is increasing as the second term is greater than the first term. The operation will use addition. 0.5 + x = 1.8 x = 1.8 – 0.5 = 1.3 1.8 + 1.3 = 3.1 3.1 + 1.3 = 4.4 Add 1.3 to the previous term in the sequence to get the next one.

Question 2. 23.2, 22.1, 21, 19.9, … Rule: _________

Answer: Subtract 1.1 to the previous term in the sequence to get the next one.

Explanation: Compare 23.2 and 22.1; 23.2 > 22.1 The sequence is decreasing as the second term is lesser than the first term. The operation will use subtraction. 23.2 – 22.1 = 1.1 22.1 – 21 = 1.1 21 – 19.9 = 1.1 Subtract 1.1 to the previous term in the sequence to get the next one.

Write a rule for the sequence. Then find the unknown term.

Question 3. 0.3, 1.5, ____ , 3.9, 5.1 Missing value: ______ Rule: ______

Answer: Missing value: 2.7 Rule: Add 1.2 to the previous term in the sequence to get the next one.

Explanation: Compare 0.3 and 1.5; 0.3 < 1.5 The sequence is increasing as the second term is greater than the first term. The operation will use addition. 1.5 – 0.3 = 1.2 0.3 + 1.2 = 1.5 1.5 + 1.2 = 2.7 2.7 + 1.2 = 3.9 3.9 + 1.2 = 5.1 Add 1.2 to the previous term in the sequence to get the next one.

Question 4. 19.5, 18.8, 18.1, 17.4, ______ Missing value: ______ Rule: ______

Answer: Missing value: 16.7 Rule: Subtract 0.7 to the previous term in the sequence to get the next one.

Explanation: Compare 19.5 and 18.8; 19.5 > 18.8 The sequence is decreasing as the second term is lesser than the first term. The operation will use subtraction. 19.5 – 18.8 = 0.7 18.8 – 18.1 = 0.7 18.1 – 17.4 = 0.7 17.4 – 0.7 = 16.7 Subtract 0.7 to the previous term in the sequence to get the next one.

Write the first four terms of the sequence.

Question 5. Rule: start at 10.64, subtract 1.45 ______ ; ______ ; ______ ; ______

Answer: 9.19; 7.74; 6.29; 4.84

Explanation: 10.64 – 1.45 = 9.19 9.19 – 1.45 = 7.74 7.74 – 1.45 = 6.29 6.29 – 1.45 = 4.84 9.19; 7.74; 6.29; 4.84

Question 6. Rule: start at 0.87, add 2.15 ______ ; ______ ; ______ ; ______

Answer: 3.02; 5.17; 7.32; 9.47

Explanation: 0.87 + 2.15 = 3.02 3.02 + 2.15 = 5.17 5.17 + 2.15 = 7.32 7.32 + 2.15 = 9.47 3.02; 5.17; 7.32; 9.47

Question 7. Rule: start at 19.3, add 1.8 ______ ; ______ ; ______ ; ______

Answer: 21.1; 22.9; 24.7; 26.5

Explanation: 19.3 + 1.8 = 21.1 21.1 + 1.8 = 22.9 22.9 + 1.8 = 24.7 24.7 + 1.8 = 26.5 21.1; 22.9; 24.7; 26.5

Question 8. Rule: start at 29.7, subtract 0.4 ______ ; ______ ; ______ ; ______

Answer: 29.3; 28.9; 28.5; 28.1

Explanation: 29.7 – 0.4 = 29.3 29.3 – 0.4 = 28.9 28.9 – 0.4 = 28.5 28.5 – 0.4 = 28.1 29.3; 28.9; 28.5; 28.1

Question 9. Marta put $4.87 in her coin bank. Each day she added 1 quarter, 1 nickel, and 3 pennies. How much money was in her coin bank after 6 days? Describe the pattern you used to solve. $ ______

Answer: $10.52 Add 1.13 to the previous term in the sequence to get the next one.

Explanation: Marta put $4.87 in her coin bank. Each day she added 1 quarter, 1 nickel, and 3 pennies. She added 1.13 each day. 4.87 + 1.13 = 6.00 6.00 + 1.13 = 7.13 7.13 + 1.13 = 8.26 8.26 + 1.13 = 9.39 9.39 + 1.13 = 10.52 Add 1.13 to the previous term in the sequence to get the next one.

Question 10. Identify Relationships Look at the list below. Do the numbers show a pattern? Explain how you know. 11.23, 10.75, 10.3, 9.82, 9.37, 8.89 Type below: _________

Answer: Compare 11.23 and 10.75; 11.23 > 10.75 The sequence is decreasing as the second term is greater than the first term. The operation will use subtraction. 11.23 – 10.75 = 0.48 10.75 – 10.3 = 0.45 10.3 – 9.82 = 0.48 9.82 – 9.37 = 0.45 9.37 – 8.89 = 0.48 First two terms difference is 0.48 Second and third-term difference is 0.45 third and fourth term difference is 0.48 fourth and fifth term difference is 0.45 fifth and sixth term difference is 0.48

Problem Solving Applications – Page No. 150

Pose a Problem

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 27

Answer: 1.6 + 0.33 = 1.93 1.93 + 0.33 = 2.26 2.26 + 0.33 = 2.59 2.59 + 0.33 = 2.92 2.92 + 0.33 = 3.25 Start at 1.6 and write the first five terms of the sequence? Add 0.3 to the previous term in the sequence to get the next one.

Question 12. Colleen and Tom are playing a number pattern game. Tom wrote the following sequence. 33.5, 34.6, 35.7, ________, 37.9 What is the unknown term in the sequence? _____

Answer: 36.8

Explanation: 33.5 < 34.6 34.6 – 33.5 = 1.1 33.5 + 1.1 = 34.6 34.6 + 1.1 = 35.7 35.7 + 1.1 = 36.8 36.8 + 1.1 = 37.9

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Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 28

Question 2. What if Sara decides to buy a bottle of water that costs $1.85? What are all the different ways she can make exactly $1.85 with the bills and coins she has? Which coin must Sara use? Type below: _________

Answer: If Sara decides to buy a bottle of water that costs $1.85, then 1 bill, 3 quarters, 1 dime; 1 bill, 3 quarters, 2 nickels; quarter

Go Math 5th Grade 3.11 Answer Key Question 3. At the end of August, Mr. Diaz had a balance of $441.62. Since then, he has written two checks for $157.34 and $19.74 and made a deposit of $575.00. Mr. Diaz says his balance is $739.54. Find Mr. Diaz’s correct balance. $ _____

Answer: At the end of August, Mr. Diaz had a balance of $441.62. Since then, he has written two checks for $157.34 and $19.74 and made a deposit of $575.00. Subtract the checks from the initial amount, and add the deposit. 441.85 – (157.34 + 19.74) + 575 = 839.77 So, $839.77

On Your Own – Page No. 154

Use the following information to solve 4–6.

At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.

Question 4. Aidan paid the admission for himself and two friends at Open Skate Night. Aidan had a membership card, but his friends did not. Aidan paid with a $20 bill. How much change should Aidan receive? $ _____

Answer: $6.25

Explanation: Aidan had a membership card, but his friends did not. $3.75 + $5.00 + $5.00 = $13.75 Aidan paid with a $20 bill. $20 – $13.75 = $6.25

Question 5. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $30 for skate rentals. How many pairs of skates did the Moores rent? _____ pairs of skates

Answer: 6 pairs of skates

Question 6. Analyze Jennie and 5 of her friends are going to Open Skate Night. Jennie does not have a membership card. Only some of her friends have membership cards. What is the total amount that Jennie and her friends might pay for admission? Type below: _________

Answer: They will pay $27.50 if only 2 of her friends have membership cards.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 29

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Find the sum or difference.

Question 1. 4.19 + 0.58 _____

Answer: 4.77

Explanation: 4.19 + 0.58 = 1.38 Add hundredths 9 + 8 = 17; Regroup; Add tenths 1 + 5 + 1 = 7; Add ones 4 + 0 = 4 4.19 + 0.58 = 4.77

Question 2. 9.99 − 4.1 _____

Answer: 5.89

Explanation: 9.99 − 4.1 Subtract hundredths: 9 – 0 = 9; Subtract tenths: 9 – 1 = 8 Subtract ones: 9 – 4 = 5 So, 9.99 − 4.1 = 5.89

Question 3. 5.7 + 2.25 + 1.3 _____

Answer: 9.25

Explanation: 5.7 + 2.25 + 1.3 Add hundredths 0 + 5 + 0 = 5; Add tenths 7 + 2 + 3 = 12; Regroup Add ones 5 + 2 + 1 + 1 = 9 5.7 + 2.25 + 1.3 = 9.25

Question 4. 28.6 − 9.84 _____

Answer: 18.76

Explanation: 28.6 − 9.84 Subtract hundredths: 0 – 4; There are not enough hundredths. So, regroup 10 – 4 = 6. Subtract tenths: 5 – 8; There are not enough tenths. So, regroup 15 – 8 = 7 Subtract ones: 7 – 9; There are not enough ones. So, regroup 17 – 9 = 8 Subtract hundreds: 1 – 0 = 1; So, 28.6 − 9.84 = 18.76

Question 5. $15.79 + $32.81 $ _____

Answer: $48.6

Explanation: $15.79 + $32.81 Add hundredths 9 + 1 = 10; Regroup Add tenths 7 + 8 + 1 = 16; Regroup Add ones 5 + 2 + 1  = 8 Add hundreds 1 + 3 = 4 $15.79 + $32.81 = $48.60

Question 6. 38.44 − 25.86 _____

Answer: 12.58

Explanation: 38.44 − 25.86 Subtract hundredths: 4 – 6; There are not enough hundredths. So, regroup 14 – 6 = 8 Subtract tenths: 3 – 8; There are not enough tenths. So, regroup 13 – 8 = 5 Subtract ones: 7 – 5 = 2; Subtract hundreds: 3 – 2 = 1; So, 38.44 − 25.86 = 12.58

On Your Own – Page No. 157

Question 7. $ 18.39 +$7.56 ———— $ _____

Answer: $25.95

Explanation: $ 18.39 + $7.56 Add hundredths 9 + 6 = 15; Regroup Add tenths 5 + 3 + 1 = 9; Add ones 8 + 7  = 15; Regroup Add hundreds 1 + 0 + 1 = 2 $ 18.39 + $7.56 = $25.95

Question 8. 8.22 − 4.39 _____

Explanation: 8.22 − 4.39 Subtract hundredths: 2 – 9; There are not enough hundredths. So, regroup 12 – 9 = 3 Subtract tenths: 1 – 3; There are not enough tenths. So, regroup 11 – 3 = 8 Subtract ones: 7 – 4 = 3; So, 8.22 − 4.39 = 3.83

Question 9. 93.6 − 79.84 _____

Answer: 13.76

Explanation: 93.6 − 79.84 Subtract hundredths: 0 – 4; There are not enough hundredths. So, regroup 10 – 4 = 6 Subtract tenths: 5 – 8; There are not enough tenths. So, regroup 15 – 8 = 7 Subtract ones: 2 – 9; There are not enough ones. So, regroup 12 – 9 = 3 Subtract hundreds: 8 – 7 = 1; So, 93.6 − 79.84 = 13.76

Question 10. 1.82 2.28 +2.18 ———— _____

Answer: 6.28

Explanation: 1.82 + 2.28 + 2.18 Add hundredths 2 + 8 + 8 = 18; Regroup Add tenths 8 + 2 + 1 + 1 = 12;  Regroup Add ones 1 + 2 + 2 + 1  = 6; 1.82 + 2.28 + 2.18 = 6.28

Practice: Copy and Solve Find the sum or difference.

Question 11. 6.3 + 2.98 + 7.7 _____

Answer: 16.98

Explanation: 6.3 + 2.98 + 7.7 Add hundredths 0 + 8 + 0 = 8; Add tenths 3 + 9 + 7 = 19;  Regroup Add ones 6 + 2 + 7 + 1  = 16; 6.3 + 2.98 + 7.7 = 16.98

Question 12. 27.96 − 16.2 _____

Answer: 11.76

Explanation: 27.96 − 16.2 Subtract hundredths: 6 – 0 = 6; Subtract tenths: 9 – 2 = 7; Subtract ones: 7 – 6 = 1; Subtract hundreds: 2 – 1 = 1; So, 27.96 − 16.2 = 11.76

Question 13. 12.63 + 15.04 _____

Answer: 27.67

Explanation: 12.63 + 15.04 Add hundredths 3 + 4 = 7; Add tenths 6 + 0 = 6; Add ones 2 + 5 = 7; Add hundreds 1 + 1 = 2 12.63 + 15.04 = 27.67

Question 14. 9.24 − 2.68 _____

Answer: 6.56

Explanation: 9.24 − 2.68 Subtract hundredths: 4 – 8; There are not enough hundredths. So, regroup 14 – 8 = 6 Subtract tenths: 1 – 6; There are not enough tenths. So, regroup 11 – 6 = 5 Subtract ones: 8 – 2 = 6; So, 9.24 − 2.68 = 6.56

Question 15. $18 − $3.55 $ _____

Answer: $14.45

Explanation: $18 − $3.55 Subtract hundredths: 0 – 5; There are not enough hundredths. So, regroup 10 – 5 = 5 Subtract tenths; There are not enough tenths. So, regroup 9 – 5 = 4 Subtract ones: 7 – 3 = 4; Subtract hundreds: 1 – 0 = 0 So, $18 − $3.55 = $14.45

Question 16. 9.73 − 2.52 _____

Answer: 7.21

Explanation: 9.73 − 2.52 Subtract hundredths: 3 – 2 = 1; Subtract tenths; 7 – 5 = 2 Subtract ones: 9 – 2 = 7; So, 9.73 − 2.52 = 7.21

Question 17. $54.78 + $43.62 $ _____

Answer: $98.4

Explanation: $54.78 + $43.62 Add hundredths 8 + 2 = 10; Regroup Add tenths 7 + 6 + 1 = 14;  Regroup Add ones 4 + 3 + 1 = 8; Add hundreds 5 + 4 = 9 $54.78 + $43.62 = $98.40

Question 18. 7.25 + 0.25 + 1.5 _____

Explanation: 7.25 + 0.25 + 1.5 Add hundredths 5 + 5 + 0 = 10; Regroup Add tenths 2 + 2 + 5 + 1 = 10;  Regroup Add ones 7 + 0 + 1 + 1 = 9; 7.25 + 0.25 + 1.5 = 9.00

Use Reasoning Algebra Find the missing number.

Question 19. n − 9.02 = 3.85 n = _____

Answer: n = 12.87

Explanation: n − 9.02 = 3.85 n = 3.85 + 9.02 n = 12.87

Question 20. n + 31.53 = 62.4 n = _____

Answer: n = 30.87

Explanation: n + 31.53 = 62.4 n = 62.4 – 31.53 = 30.87 n = 30.87

Question 21. 9.2 + n + 8.4 = 20.8 n = _____

Answer: n = 3.2

Explanation: 9.2 + n + 8.4 = 20.8 n + 17.6 = 20.8 n = 20.8 – 17.6 n = 3.2

Question 22. Jake needs 7.58 meters of wood to complete a school project. He buys a 2.25-meter plank of wood and a 3.12-meter plank of wood. How many more meters of wood does Jake need to buy? _____ meters

Answer: 2.21 meters

Explanation: Jake needs 7.58 meters of wood to complete a school project. He buys a 2.25-meter plank of wood and a 3.12-meter plank of wood. 2.25 + 3.12 = 5.37 7.58 – 5.37 = 2.21

Question 23. Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.25 meters long for his row. They have one length of twine that measures 16.27 meters. After they each take the lengths they need, how much twine will be left? _____ meters

Answer: 0.52 meters

Explanation: Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.25 meters long for his row. They have one length of twine that measures 16.27 meters. 8.5 + 7.25 = 15.75 16.27 – 15.75 = 0.52

Page No. 158

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals img 30

Question 24. How much farther did the gold medal winner jump than the silver medal winner? _____ meters

Answer: 0.1 meters

Explanation: Gold medal = 8.34 meters Silver medal = 8.24 meters. 8.34 – 8.24 = 0.10 meters gold medal winner jump 0.1 meters than the silver medal winner

Question 25. The fourth-place competitor’s jump measured 8.19 meters. If his jump had been 0.10 meter greater, what medal would he have received? Explain how you solved the problem. _________

Explanation: The fourth-place competitor’s jump measured 8.19 meters. If his jump had been 0.10 meter greater 8.19 + 0.1 = 8.29 He may receive a silver medal. 8.29 is in between 8.24 and 8.34

Question 26. In the 2004 Olympics, the gold medalist for the men’s long jump had a jump of 8.59 meters. How much farther did the 2004 gold medalist jump compared to the 2008 gold medalist? _____ meters

Answer: 0.25 meters

Explanation: In the 2004 Olympics, the gold medalist for the men’s long jump had a jump of 8.59 meters. In 2008, 8.34 meters 8.59 – 8.34 = 0.25 meters

Question 27. Alexander and Holly are solving the following word problem. At the supermarket Carla buys 2.25 pounds of hamburger. She also buys 3.85 pounds of chicken. How many pounds of hamburger and chicken did Carla buy? Alexander set up his problem as 2.25 + 3.85. Holly set up her problem as 3.85 + 2.25. Who is correct? Explain your answer and solve the problem.

Answer: Alexander and Holly are solving the following word problem. At the supermarket, Carla buys 2.25 pounds of hamburger. She also buys 3.85 pounds of chicken. She buys 2.25 + 3.85 = 6.10 pounds. From the commutative property, 2.25 + 3.85 = 3.85 + 2.25 So, both answers are correct

Chapter Review/Test – Page No. 159

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 31

Explanation: Monday = 4.5 gallons Tuesday = 3.9 gallons Wednesday = 4.258 gallons Thursday = 3.75 gallons Friday = 4.256 gallons The days from least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased 4.5; 3.9; 4.258; 3.75; 4.256 3 < 4 3.9; 3.75; 4.5; 4.258; 4.256 9 > 7. So, 3.9; 3.75 5 > 2; 4.5; 4.258; 4.256 8 > 6; 4.258; 4.256 4.5; 4.258; 4.256; 3.9; 3.75 3.75; 3.9; 4.256; 4.258; 4.5

For 2a–2c, select True or False for each statement

Question 2. 2a. 16.437 rounded to the nearest whole number is 16. i. TRUE ii. FALSE

Answer: i. TRUE

Explanation: 16.437; 4 < 5. So, the nearest whole number is 16

Question 2. 2b. 16.437 rounded to the nearest tenth is 16.4. i. TRUE ii. FALSE

Explanation: 16.437 rounded to the nearest tenth 3 < 5 16.4

Question 2. 2c. 16.437 rounded to the nearest hundredth is 16.43. i. TRUE ii. FALSE

Answer: ii. FALSE

Explanation: 16.437 rounded to the nearest hundredth is 7 > 5 16.44

Question 3. Students are selling muffins at a school bake sale. One muffin costs $0.25, 2 muffins cost $0.37, 3 muffins cost $0.49, and 4 muffins cost $0.61. If this pattern continues, how much will 7 muffins cost? Explain how you found your answer. $ _____

Answer: $0.97

Explanation: Students are selling muffins at a school bake sale. One muffin costs $0.25, 2 muffins cost $0.37, 3 muffins cost $0.49, and 4 muffins cost $0.61. 0.37 – 0.25 = 0.12 0.49 – 0.37 = 0.12 0.61 – 0.49 = 0.12 For 5 muffins 0.61 + 0.12 = 0.73 For 6 muffins 0.73 + 0.12 = 0.85 For 7 muffins 0.85 + 0.12 = 0.97 Every muffin cost increases with 0.12.

Chapter Review/Test – Page No. 160

Question 4. What is the value of the underlined digit? Mark all that apply. 0.679 Options: a. 0.6 b. 0.06 c. six tenths d. six hundredths e. 6 × \(\frac{1}{10}\)

Answer: a. 0.6 c. six tenths e. 6 × \(\frac{1}{10}\)

Explanation: 0.679 (0 x 1) + (6 x \(\frac{1}{10}\)) + (7 x \(\frac{1}{100}\)) + (9 x \(\frac{1}{1000}\)) 6 x \(\frac{1}{10}\) = 0.6 = 6 tenths

Question 5. Rowanda jogged 2.14 kilometers farther than Terrance. Select the values that could represent how far each student jogged. Mark all that apply. Options: a. Rowanda: 6.5 km, Terrance: 4.36 km b. Rowanda: 4.8 km, Terrance: 2.76 km c. Rowanda: 3.51 km, Terrance: 5.65 km d. Rowanda: 7.24 km, Terrance: 5.1 km

Answer: a. Rowanda: 6.5 km, Terrance: 4.36 km d. Rowanda: 7.24 km, Terrance: 5.1 km

Explanation: Rowanda jogged 2.14 kilometers farther than Terrance. a. Rowanda: 6.5 km, Terrance: 4.36 km 6.5 – 4.36 = 2.14 b. Rowanda: 4.8 km, Terrance: 2.76 km 4.8 – 2.76 = 2.04 c. Rowanda: 3.51 km, Terrance: 5.65 km 5.65 – 3.51 = 2.14 d. Rowanda: 7.24 km, Terrance: 5.1 km 7.24 – 5.1 = 2.14 The first and fourth values can represent how far each student jogged.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 33

Explanation: 0.542 = 542/1000 5 hundredths, 4 tenths, 2 thousandths

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 34

Explanation: Benjamin rode his bicycle 3.6 miles on Saturday and 4.85 miles on Sunday. 3.6 + 4.85 = 8.45

Chapter Review/Test – Page No. 161

Question 8. The school is 3.65 miles from Tonya’s house and 1.28 miles from Jamal’s house. How much farther from school is Tonya’s house than Jamal’s house? Explain how you can use a quick picture to solve the problem. _____ miles

grade 5 chapter 3 Add and Subtract Decimals 161 image 2

Explanation: The school is 3.65 miles from Tonya’s house and 1.28 miles from Jamal’s house. 3.65 – 1.28 = 2.37

Question 9. A vet measured the mass of two birds. The mass of the robin was 76.64 grams. The mass of the blue jay was 81.54 grams. Estimate the difference in the masses of the birds. ≈ _____ grams

Answer: 5 grams

Explanation: A vet measured the mass of two birds. The mass of the robin was 76.64 grams. The mass of the blue jay was 81.54 grams. 76.64 grams is closer to 77 81.54 grams is closer to 82 82 – 77 = 5 The estimated difference in the masses of the birds is 5 grams.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 35

Explanation:

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 36

Answer: i. Yes

Explanation: Clayton Road is 2.25 miles long. Wood Pike Road is 1.8 miles long. 2.25 + 1.8 = 4.05 4 tens, 0 tenths, 5 hundredths

Chapter Review/Test – Page No. 162

Question 12. Bob and Ling are playing a number pattern game. Bob wrote the following sequence. 28.9, 26.8, 24.7, __, 20.5 What is the unknown term in the sequence? _____

Answer: 26.8

Explanation: Bob and Ling are playing a number pattern game. Bob wrote the following sequence. 28.9, 26.8, 24.7, __, 20.5 28.9 – 26.8 = 2.1 26.8 – 24.7 = 2.1 Every number is increased by 2.1 So, the unknown number is 24.7 + 2.1 = 26.8

Rafael bought 2.15 pounds of potato salad and 4.2 pounds of macaroni salad to bring to a picnic. For 13a–13c, select Yes or No to indicate whether each statement is true.

Question 13. 13a. Rounded to the nearest whole number, Rafael bought 2 pounds of potato salad. i. Yes ii. No

Explanation: 2.15 pounds of potato salad 1 < 5 ; So, Rounded to the nearest whole number is 2

Question 13. 13b. Rounded to the nearest whole number, Rafael bought 4 pounds of macaroni salad. i. Yes ii. No

Explanation: 4.2 pounds of macaroni salad 2 < 5 So, Rounded to the nearest whole number is 4

Question 13. 13c. Rounded to the nearest tenth, Rafael bought 2.1 pounds of potato salad. i. Yes ii. No

Answer: ii. No

Explanation: 2.15 pounds of potato salad 5 = 5 ; So, Rounded to the nearest whole number is 2.2

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 37

Answer: The lowest: 9.25 The highest: 9.75

Explanation: Compare ones; All ones are the same. Compare tenths; 9.75 has the highest number of tenths and 9.25 has the lowest number of tenths. The lowest of these four scores was 9.25 points. The highest of these four scores was 9.75 points.

Chapter Review/Test – Page No. 163

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 38

Answer: a. Monday c. Wednesday

Explanation: Monday = 1.448 The digit in the hundredths place is 4. 8 > 5; So, the rounded number is 1.45 Tuesday = 1.443 The digit in the hundredths place is 4. 3 < 5; So, the rounded number is 1.44 Wednesday = 1.452 The digit in the hundredths place is 5. 2 < 5; So, the rounded number is 1.45 Thursday = 1.458 The digit in the hundredths place is 5. 8 > 5; So, the rounded number is 1.46

Question 16. Miguel has $20. He spends $7.25 on a movie ticket, $3.95 for snacks, and $1.75 for bus fare each way. How much money does Miguel have left? $ _____

Answer: $7.05

Explanation: Miguel has $20. He spends $7.25 on a movie ticket, $3.95 for snacks, and $1.75 for bus fare each way. $7.25 + $3.95 + $1.75 = $12.95 $20 – $12.95 = $7.05

Question 17. Yolanda’s sunflower plant was 64.34 centimeters tall in July. During August, the plant grew 18.2 centimeters. Part A Estimate the height of Yolanda’s plant at the end of August by rounding each value to the nearest whole number. Will your estimate be less than or greater than the actual height? Explain your reasoning. _____ cm

Answer: First, we want to round the number 64.34 to the nearest whole number. 1. We have to round this number to the molest tenth. To round the number to the nearest tenth we need to look at the digit in the hundredths place. So, as 4 < 5, the rounded number is 64.3. 2. We now have to round this number to the nearest one. lb round the number to the nearest one we need to look at the digit in the tenths place. So, as 3 < 5, the rounded number is 64. Now, we have to round the number 18.2 to the nearest whole number. 1. We have to round this number to the nearest one. To round the number to the nearest one we need to look at the digit in the tenths place. So, as 2 <5, the rounded number is 18. So, we now have to find the sum of these rounded values: 64 + 18 = 82. Therefore, the estimated height of Volanda’s plant at the and of August is: 82 centimeters. The estimate is less than the actual height because rounded values are less than the actual values.

Question 17. Part B What was the exact height of the plant at the end of August? Was the estimate less than or greater than the exact value? _____ cm

Answer: The exact height of the plant is: 64.34 + 18.2 Add the hundredths first. 4 hundre.dths + 0 hundredths = 4 hundredths Add the tenths. 3 tenths + 2 tenths = 5 tenths Add the ones. Regroup as nee.ded Add the tens. 6 tens + 1 ten + 1 regrouped ten = 8 tens. Therefore, the exact height is 64.34+ 18.2 = 82.54. The estimate is less than the actual height.

Chapter Review/Test – Page No. 164

Question 18. Oscar ran the 100-yard dash in 12.41 seconds. Jesiah ran the 100-yard dash in 11.85 seconds. How many seconds faster was Jesiah’s time than Oscar’s time? _____ second(s)

Answer: 0.56 seconds

Explanation: Oscar ran the 100-yard dash in 12.41 seconds. Jesiah ran the 100-yard dash in 11.85 seconds. 12.41 – 11.85 = 0.56 seconds. Jesiah’s time is 0.56 seconds faster than Oscar’s time.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 39

Answer: 2 hundredths and 5 thousandths

Explanation: 1.025 (1 x 1) + (0 x \(\frac{1}{10}\)) + (2 x \(\frac{1}{100}\)) + (5 x \(\frac{1}{1000}\)) 2 x \(\frac{1}{100}\) = 2 hundredths 5 x \(\frac{1}{1000}\) = 5 thousandths In the number 1.025, the value of the digit 2 is 2 hundredths, and the value of the digit 5 is 5 thousandths.

Question 20. Troy and Lazetta are solving the following word problem. Rosalie’s cat weights 9.8 pounds. Her dog weighs 25.4 pounds. What is the weight of both animals combined. Troy sets up his problem as 9.8 + 25.4. Lazetta sets up her problem as 25.4 + 9.8. Who is correct? Explain your answer and solve the problem. _________

Answer: Troy and Lazetta are solving the following word problem. Rosalie’s cat weighs 9.8 pounds. Her dog weighs 25.4 pounds. 9.8 + 25.4 Add tenths 8 + 4 = 12; regroup Add ones 9 + 5 + 1 regrouped one = 15 ones; regroup Add tens 0 + 2 + 1 regrouped ten = 3 tens. 35.2 Lazetta: 25.4 + 9.8 = 35.2 Therefore, the answer is 25.4 + 9.8 = 35.2 The weight of both animals combined is 35.2 pounds. So, both were right.

Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals Chapter Review/Test img 40

Answer: 0.084 and 8.4

Explanation: 0.84 is 10 times as much as 0.84 = 10S S = 0.84/10 = 0.084 0.84 is 1/10 of 0.84 = 1/10 x S S = 0.84 x 10 = 8.4 So, from the given answers, 0.84 is 10 times as much as 0.084 and 0.84 is 1/10 of 8.4

Conclusion:

Get the Go Math Grade 5 Answer Key Chapter 3 Add and Subtract Decimals PDF. Download Go Math Grade 5 Answer Key PDF for free. New ways of learning will make your life easier with the best practice. Quick learning and easy understanding will come with the Go Math Grade 5 Chapter 3 Solution Key. Refer to our Go math practice books and question banks for the fast way of learning. We developed the Go Math answer key to all levels of students. Every student can easily understand the math and love the math after practicing with the Go Math answer key.

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