Units of Measure: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

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Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers.

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Incorporate STEM journalism in your classroom

  • Exercise type: Discussion
  • Topic: Astronomy

Why use units

  • Download Student Worksheet

Directions for teachers:

Ask students to read the online Science News article “ This is the first picture of a sunlike star with multiple exoplanets ” and answer the questions below. Questions relate to the purpose of units. Make sure students have a ruler, pencil, paper and calculator to create a scaled drawing of the exoplanets relative to Earth. Have students partner up to discuss the last two prompts, which ask them to think about standard units versus relative values and some common examples of relative values that have become standard units in science. Bring the class back together as a group and discuss questions of your choice.

See the Discussion exercise “ Measure the universe ” for additional questions about the scale and proportion of the universe.

Want to make it a virtual lesson? Post the online Science News article “ This is the first picture of a sunlike star with multiple exoplanets ” to your virtual classroom. After students answer the individual prompts, have them post a picture of their scaled drawing to your online discussion board. When you’re ready to pair students up, have them discuss the final prompts using a video-conferencing platform, or talking by phone. They can collaborate in a shared document during the conversation. After posting the answers to an online discussion board, have students give feedback on another pair’s responses.

A unit’s purpose

1. What is a quantitative observation? Give two examples of a quantitative observation from the article.

Quantitative observations include either measured or counted numerical data. Two examples from the article are the star TYC 8998-760-1 is about 300 light-years away from Earth, and its planetary family is 17 million years old.     

2. In your examples, what type of quantity has been measured? How do you know this?

300 light-years is a measurement of distance, and 17 million years is a measurement of time. I know what has been measured because of the unit given with the number.

3. What is a unit of measurement?

A unit of measurement is a standard way of expressing a physical quantity. Units of measure provide context for what numerical values represent and so convey the magnitude of physical properties.

4. List all the types of measurements you can think of. What unit of measurement is commonly associated with each of them (think about both the English and metric, or SI system)?

Distance can be measured in meters or miles. Mass can be measured in grams or pounds. Volume can be measured in liters or gallons. Temperature is measured in Kelvin, Celsius or Fahrenheit. Time can be measured in seconds, hours or days. Pressure can be measured in atmospheres, millimeters of mercury or pounds per square inch.   

5. Give an example of a unit that is defined by a number alone (hint: think eggs). How many of an item does each unit include? (If you’ve taken a chemistry class, don’t forget about the unit of measure that defines a number of atoms, molecules, etc.!)

A dozen means 12 and is often used to define a number of eggs. A mole is defined as 6.02 x 10 23 and is used to define a number of atoms, molecules, etc.

Units are all relative

6. Give an example of prefixes that are used with base units in the metric system.

Examples of prefixes include nano, micro, milli, centi, deci, kilo, mega, giga, etc.

7. Using the prefixes kilo and milli, and the base unit meter, explain how each prefixed unit relates to the base unit. Give an example of something you would measure in millimeters and something you would measure in kilometers. Why are prefixed units helpful?

Prefixed units denote multiples or fractions of the original base unit. The prefix milli denotes a thousandth. There are 1,000 millimeters in a meter. Millimeter is used to measure very short lengths and distances, such as the length of a small insect. The prefix kilo denotes one thousand. Kilometer is used to measure lengths and distances of 1,000 meters or more, such as the distance of a cross-country race. Prefixes are useful for scaling the base unit to easily express a measured quantity that may be very large or very small.     

8. According to the article, star TYC 8998-760-1 is 300 light-years away from our sun. Given that light travels at 3.0 x 10 8 meters per second, calculate the distance in kilometers. Check out the short NASA video “Our Milky Way Galaxy: How Big Is Space?” on this page to see how many kilometers are in one light-year.

300 years x (365 days/year) x (24 hours/day) x (60 minutes/hour) x (60 seconds/min) x (3.0 x 10 8 meters/sec) x (1 km/1000 m) = 2.84 x 10 15 km

9. Why is the unit light-year used to measure some of the distances in the article? Why isn’t meter or kilometer used?

The measurements in the article are distances in outer space. These distances are much longer than any distance that is measured on Earth. It’s hard to understand the magnitude of these distances when they are given in meters or kilometers because the numerical values in those units are so large.

10. The article gives some measurements in terms of relative values. Give at least two examples of these relative values. Why do you think the author chose to use relative values instead of other defined units? Do you think the primary research paper reported the data in the same way? Why or why not?

Two examples of relative measurements are the distance and mass of the inner exoplanet. According to the article, this exoplanet is fourteen times the mass of Jupiter and is 160 times farther from its star than Earth is from the sun. The reader (either a student or another member of the general public) likely has little knowledge about absolute measurements in a solar system, so it’s easier to understand when the measurements are related to distances and masses in our own solar system. The primary research paper likely gives precise measurements in a standard unit, because the researchers reviewing the article are familiar with space measurements.

11. An astronomical unit is an example of a relative value often used in outer space measurements. What type of quantity does an astronomical units measure? What relative value is an astronomical unit equal to? Give an example of a measurement that is commonly expressed in AUs. An astronomical unit (AU) is a measure of distance in outer space. One AU is equal to the distance from the Earth to the sun. The distance that other planets in our solar system are from the sun are often measured in AUs.

Create a scaled drawing

Use a ruler to create a scaled drawing of the distance each exoplanet is from the star TYC 8998-760-1. You’ll first need to determine an appropriate scale to represent 1 AU, which is equal to about 150 million kilometers. You should include this scale in your drawing. After your drawing is complete, determine an answer for the following question. 12. State your scaled length for 1 AU. Use your scaled length, the given distance of 1 AU and your answer to question No. 8 to find the scaled length for the distance between TYC 8998-760-1 and our sun. Can you represent the distance on your drawing?

Answers will vary based on the student’s scaled length for the distance that the Earth is from our sun. In order to scale the distance between TYC 8998-760-1 and our sun, the student should first convert light-years into astronomical units: Divide the answer to question No. 8 by the given value of 1 AU. Three hundred light-years is equal to about 19 million AU. If a student’s scaled length for 1 AU is 0.1mm, then 19 million AU = 1.9 million mm. TYC 8998-760-1 would be about 1.9 km away from the drawing of our sun. The distance from our sun to TYC 8998-760-1 is too long to draw on the paper.

Final prompts

13. When is it important to standardize units used in science? When is it appropriate to give measurements as relative values? Explain.

Science research and engineering are often collaborative, international processes. Data collected and analyzed is communicated in standard units to minimize confusion and the possibility of conversion error. As we saw in the article, relative values are useful when communicating data and information to a general audience. Familiar references help give perspective and meaning to quantities that are otherwise unusual.

14. Give an example of a relative value that has become a standard unit in science. Why do you think this happened?

Elemental masses on the periodic table are given in relative units called atomic mass units (amu). The mass of an element in amu is relative to the mass of carbon-12. I suspect this standard unit was adopted because atoms are so small and light, that the absolute mass of an atom in grams is difficult to use to compare elements for example.

the importance of units worksheet answers

The SI UNITS Unit

The international system of measurements.

SI Units Unit

The common name, SI Units, is short for the International System of Measurements. Back in 1960, the SI units were adopted as the universal measurement system. This modern metric system helps scientists and doctors worldwide keep consistent data that is easy to compare and analyze. For scientific findings to be accepted and understood without confusion, scientists had to accept a method of measurement that would be concise and universally used. In this unit, your student will be introduced to the importance of the International System of Measurements and what it is. The SI UNITS unit includes a slideshow, video clips, articles, and a number of hands-on measurement activities. Have fun! 

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Introduction to the SI Units Unit (The Metric System)

Bill Nye’s introduction to the metric system is a fun way to jump into this unit. It gives your student a basis for the importance of the implementation of the SI Units. It is short, but sweet. Well worth the 2 minutes!

After the video, ask you student some comprehension questions about the video. 

– Why did people stop measuring objects with their body parts?

Answer: No two human bodies are the same. So, if two scientists measured a distance both with their feet, the measurements would not be the same because their feet are different lengths! There had to be a better way. A universal system of measurements that would allow all of us to measure with consistent and reliable results. Hence, the birth of the metric system. 

What are the SI Units? Slideshow

The SI Units unit slideshow is an effective way to present key information about what the SI Units are and why they are important. You can purchase this PowerPoint presentation along with other resources in our SI Units & Conversions Pack.

What are the SI Units? Slideshow PDF

What are the si units guided notes.

the SI Units Unit

The “What are the SI Units? Guided Notes is an effective tool to use when leading students to take notes using the slideshow. These guided notes are an excellent addition to any science notebook. In the SI Units unit, there are several worksheets and activities that require students to look back at the notes they originally took in the introduction. These lay a great foundation for the work ahead.

DOWNLOAD SI UNITS GUIDED NOTES

Si units quick notes.

SI Units

This set of SI Units Quick Notes is a visually friendly note taking strategy for those reluctant note takers. It is also a fun way to review the 7 base units of measurement without simply writing them on normal paper. The visual pictures help a student solidify the information being processed. Use this SI Units Quick Notes sheet with the slideshow featured above. 

DOWNLOAD SI UNITS QUICK NOTES

Si units quick questions.

SI UNITS UNIT

The SI Units Quick Questions Worksheet is an effective review of the “What are the SI Units?” slideshow and note sheet. Students can use their notes to answer the 25 questions featured about the International System of Units. The answers to the quick questions can then be self-checked by using the “SI Units Quick Questions” slideshow. In the slideshow, the questions are followed by the answers. Happy homeschooling!

DOWNLOAD SI UNITS QUICK QUESTIONS

Si units quick questions slideshow w/ answers.

The SI Units unit Quick Questions is a 25 questions quiz that tests your students ability to use the notes taken from “What are the SI Units?” slideshow. Use this slideshow after your student has completed the “SI Units Quick Questions” worksheet. The slideshow gives the answers to the worksheet providing the opportunity for students to self check their own work.

*To download the  PowerPoint version of this presentation, check it out  here !

SI UNITS Quick Questions Slideshow PDF

Learn the metric system.

This Metric System for kids video may not be the most exciting film, but the information presented coincides directly with what a middle school student learns in most states to meet educational standards. In the video, the presenter breaks down the system of measurement reviewing what was discussed in the “What are the SI Units?” slideshow.  

Investigation Stations: Making Measurements

The Investigation Stations: Making Measurements sheet is the guide you need to conduct your own stations. This sheet will guide you through 5 different stations. One will be for length, volume/liquid volume, mass, temperature, and density. Stations are an effective way to bring movement to your classroom without the chaos. For a family setting, prepare your materials ahead of time and then tackle each section one at a time. This activity may be one that you do over the course of a few days or week. Breaking the stations into sections allows a homeschool parent to focus on one topic at a time. Great one on one teaching time!

SI Units Unit

Here is a break down of the materials needed for the Investigation Stations.

Length Station: Provide your student with the objects specified on the worksheet (pen, book, paper clip, United States  Map with a key)

Volume Station:   Your student will need two cylinders to measure liquid volume. They will need another cylinder and an irregular object to conduct their own investigation. 

Mass Station: To answer the questions in the mass section, the tools needed are 3 random objects (should be able to fit in the palm of your hand) and a triple beam balance.

Temperature Station: In this station, you will provide your student with three beakers (or cups) filled with water. One cup will have water in it from the refrigerator, the second one will have room temperature water, and the last will have water in it that has been heated in the microwave for 1 minute. Your student will also need a thermometer. 

Density Station: The materials needed for this section is a triple beam balance and an object that can be measured easily… like a die. Your student may need some assistance finding the density of the object you give them. Some students have a difficult time figuring out what steps need to be conducted to configure density. To start, encourage your student to find the volume of the object using the centimeter measurement on a ruler. Next, your student will find the mass of the object using a triple beam balance. Once they have the volume and the mass, it is a matter of putting it into fraction form and dividing mass over volume. 

DOWNLOAD INVESTIGATION STATIONS: MAKING MEASUREMENTS

1999 mars climate orbiter catastrophe article, gives reasoning for why the si units are so important.

SI Units

The unsuccessful mission of the 1999 Mars Climate Orbiter was a result of inputting faulty measurements into the guidance system. This article shows how important it is for scientists to use the same system of measurements. Crazy to think that a machine so sophisticated was destroyed due to an error of simple math. Let your student read this article provided by NASA: Solar System Exploration .  If you are looking for a PDF version of the article, click here . 

After reading the article, ask you student some comprehension questions. See if your student can take the information given in the article to deduct a reasonable answer for the following question. 

– Do you think it is important for nations worldwide to use the same measurement system? Why or why not?

Answer:   There is no right or wrong answer as it is an opinion question. The wrong answer would be to not have one. Even if your student doesn’t agree with the idea of a one world measurement system, ask them to think of some reasons to back up their argument whether it is from the article or not. 

Why the US doesn't use metric (even though it does) - DID YOU KNOW

Very interesting video explaining why the United States is one of only three countries that has not fully committed to the metric system. When talking about traveling from city to city, we refer to miles not kilometers. We are more likely to say we weigh so many pounds as opposed to kilograms. The metric system is used and taught in schools, but it is not a part of our everyday worlds. Learn the reason why in this informational video. 

Metric Unit Conversions Reference Sheet

Featuring "king henry died by drinking chocolate milk".

SI Units Unit

The SI Units Unit would not be complete without this mnemonic device! This sheet is the perfect companion for your student as they tackle converting metric units from one to another. Personally, I love to use the mnemonic device, “King Henry Died by Drinking Chocolate Milk.” This has helped me and countless students over the years to successfully convert metric units. Print this sheet as a reference tool for your student. Happy converting 🙂

DOWNLOAD METRIC UNIT CONVERSIONS REFERENCE SHEET

Converting in the metric system video.

When learning to convert metrics, the easiest and most comprehensive way to teach it to most kids is to use the mnemonic device: King Henry Died By Drinking Chocolate Milk. It has been used for decades because it works! The information presented in this video will give you the information you need to understand the best short cut to converting metrics! It may not be the most exciting video, but gives you what you need to know to teach your kids converting metrics. 

Math Antics - Intro to the Metric System & Converting

Some of you may need a different explanation to approach the conversion of metrics. In this video, Math Antics explains thoroughly the science and math behind converting. In my opinion, this video may overload some students with the verbiage, but then again, it may be just what your student needs. 

Set of 2 Converting Metrics Worksheets

This set of 2 Converting Metrics Worksheets are meant to be used with the mnemonic device, “King Henry Died By Drinking Chocolate Milk.” For your convenience, there is a teacher’s key attached to the PDF as well. You will find 2 worksheets for practice. It may be helpful to work through one of the worksheets with your student and then allow them to independently complete the second one. Have fun practicing converting!

SI Units Unit

DOWNLOAD SET OF 2 CONVERTING METRICS WORKSHEETS

Common si units and metric conversion tables.

SI Units

 This Common SI Units and Metric Conversion Tables features the one pictured along with one that will convert imperial measurements to metric below. Imperial measurements are ones that we commonly use in the United States on a daily basis. For example, there is a way to convert miles to kilometers or vice versa. Print this sheet for your student as a reference before pursuing conversions of that magnitude. In middle school science, we do not usually convert measurements from imperial to metric. Converting metrics is usually kept within the metric system itself. So, this reference sheet is not necessary, however, for some of you, it may be of interest. 

SI Units

DOWNLOAD COMMON SI UNITS AND METRIC CONVERSION TABLES

Si units & conversions pack.

SI Units & Conversions Pack

To make life a little easier, especially for those teaching in a homeschool classroom setting, consider adding the SI Units Conversions Pack to your shop cart. You will receive the actual PowerPoint presentations along with the printables in one email. The 2 PowerPoints are the meat and potatoes in this unit.

Food for thought...

Looking for a more permanent science curriculum? Even though we pursue various science units that encompass labs and such, we also use a science textbook each year. Some might say that our science units supplement our textbook, while others would say the opposite to be true. The labs, experiments, graphic organizers, videos, and other activities bring the textbook information to life.

What causes an ice boat to float

We use Abeka Science textbooks. I love that they incorporate God and His sovereignty into their curriculum. When I taught in the public school system, I noticed that many of my students were lacking in vocabulary. This made it difficult for them to understand the why behind many of our investigations. Unfortunately, they were deficient in their background knowledge. Our science time would be lacking too if it weren’t for the rich vocabulary and science language that we find in our science textbook and readers. If you are interested in shopping for a full-time science curriculum or even just a textbook to guide you, click on the following link! Happy homeschooling!

Check out these other FREE resources!

the importance of units worksheet answers

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Engineering LibreTexts

14.1: The importance of Units

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When working with engineering and science it is important to keep an eye on your units. This is a theme that professors are always harping on, but with seemingly little success. This might be because when assignments or tests are time constrained it seems like something you can skip. This is not TRUE. Don't skip your units check. In real life always be very careful with your units, but for a time constrained tests you need to develop a fast method to check units which usually involve various shortcuts (these shortcuts depend on the individual so that will not be discussed here, but you certainly can find many shortcut methods in the various test prep books out there - note these shortcut methods are to only be used for tests, never when it matters the most, like when you are building the bridge we or your or our family members are going to drive my car on).

First let us have a review of units which is to say let's just take a look at the following NIST site:

https://www.physics.nist.gov/cuu/Units/introduction.html

This site covers all the most important aspects of units. In particular note how there are only seven basic units that all other units are build from. Why these seven? (no answer - set up a group chat to figure out why).

Before we continue further we should now start to use the "textbook" which is here on Libretexts (though any good review book can be used). So please read the following:

https://eng.libretexts.org/Sandboxes/bucky.prof/Introduction_to_Engineering/01%3A_Units (sandbox note: this link needs to be changed when this goes live...it will think it is email right now because of the @ symbol).

Ok now that we are done looking at that part of the textbook we can move on to the importance of keeping track of units.

Let us say a car is moving at 10 ⅔ meters per second (mps), how long does it take for it to go 5 ⅘ meters? Try this problem in class and discuss the answer.

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Key to Measurements workbook series

Key to Measurements Workbooks

Key to Measurement workbooks include a variety of hands-on experiences related to the customary units of measurement. Group projects are included in addition to numerous individual activities. In Book 1, students learn how a linear measurement system is developed and then do activities related to measuring length. Book 2 focuses on length, perimeter, and area measures. In Book 3, the concept of area is further developed, and students are introduced to volume. Book 4 covers a variety of topics. Students experiment with weighing objects and measuring capacity, and they also learn about temperature and time.

Practice makes perfect. Practice math at IXL.com

Size worksheets for kinder - Pre-K Free Size comparison printable - Area model multiplication examples and test

  • 5th Grade Math
  • Units of measurement

Grade 5 measurement worksheets: Customary and metric conversion

Are you ready to take your measurement skills to the next level? In Grade 5, students are introduced to the fascinating world of converting customary and metric units , and what better way to perfect these skills than with our comprehensive collection of Grade 5 measurement worksheets ?

Below is a guideline of all that we have for you in this article:

  • The importance of measurement in grade 5 math

Understanding conversion between customary and metric units

Grade 5 measurement worksheets: customary to metric conversion, grade 5 measurement worksheets: metric to customary conversion, tips for practicing measurement conversion, common mistakes to avoid in measurement conversion.

  • Additional resources for grade 5 measurement worksheets

Incorporating measurement practice into everyday activities

  • Conclusion: Mastering measurement conversion in grade 5 math

From customary to metric units: Grade 5 measurement worksheets for perfecting conversion

From customary to metric units , Mathskills4kids.com has the best Grade 5 measurement worksheets noted for perfecting conversion skills in students.

Whether you're a teacher looking to enhance your lesson plans or a parent wanting to support your child's learning at home, these carefully crafted worksheets are designed to engage your students and challenge them like never before.

From converting inches to centimeters, pounds to kilograms, or even miles to kilometers, our worksheets cover a wide range of conversion scenarios, ensuring that students gain a solid understanding of both customary and metric units.

To transform conversion challenges into confident triumphs, our Grade 5 measurement worksheets will provide engaging exercises with clear explanations and plenty of practice opportunities.

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Grade 5 measurement worksheets: Customary and metric conversion - Comparing and converting customary units of length

Start practice on Fifth Grade here

The importance of measurement in grade 5 math.

Measurement is a fundamental concept in mathematics and plays a crucial role in our daily lives. In grade 5, students delve deeper into the world of measurement, building upon the knowledge they acquired in previous grades. This is a critical stage where students transition from simple measurements to more complex concepts, such as converting between customary and metric units .

Understanding measurement in Grade 5 is essential because it allows students to make sense of the world around them. Whether measuring ingredients for a recipe, calculating distances between two points, or estimating the weight of an object, measurement is involved in various aspects of our day-to-day activities.

By mastering measurement skills, students develop a practical understanding of the world and build a strong foundation for future math concepts.

One of the critical objectives in grade 5 math is to develop an understanding of conversion between customary and metric units . Customary units are commonly used in the United States, while metric units are used worldwide. The ability to convert between these two systems is a valuable skill that enables students to communicate and compare measurements effectively.

To understand conversion, students need to be familiar with the basic units of measurement in both systems. In the customary system, these units include inches, feet, yards, miles, ounces, pounds, and tons.

On the other hand, the metric system uses millimeters, centimeters, meters, kilometers, grams, kilograms, and metric tons. Students can easily convert measurements from one system to another by understanding the relationship between these units.

Mathskills4kids’ Grade 5 measurement worksheets cover various conversion scenarios, from customary to metric conversion . These worksheets give students ample practice opportunities and clear explanations of the conversion process.

Won’t you be glad to see your kids display mastery of conversion skills in various scenarios? Mathskills4kids’ customary to metric conversion worksheets have all to offer. For example, Students might be asked to convert inches to centimeters, feet to meters, or pounds to kilograms. Each worksheet includes multiple exercises, allowing students to reinforce their understanding of the conversion process.

To further ensure a smooth learning experience, our worksheets offer simple steps to convert from customary to metric units . Students will learn the conversion factors for each unit and practice applying these factors to solve conversion problems.

With consistent practice, students will develop the confidence and fluency needed to convert measurements effortlessly.

In addition to customary to-metric conversion, our Grade 5 measurement worksheets cover metric-to-customary conversion. These worksheets comprehensively explore the relationship between metric and customary units, allowing students to deepen their understanding of both systems.

In the metric to customary conversion worksheets, students will encounter conversion scenarios such as centimeters to inches, meters to feet, or kilograms to pounds.

Just like the customary to metric conversion worksheets, these worksheets provide step-by-step explanations and ample practice opportunities.

Students will strengthen their understanding of the relationship between units in both systems by practicing metric to customary conversion. Also, they will become proficient in converting measurements from metric to customary units and vice versa, preparing them for real-world applications where both systems are used interchangeably.

Mastering measurement conversion requires consistent practice and engagement. Here are some tips to help students make the most of their Grade 5 measurement worksheets :

  • Read the instructions carefully : Ensure your students understand what is being asked before attempting to solve the problem. They must pay attention to the units provided and required for the conversion.
  • Use conversion factors : Encourage your 5 th graders to memorize the conversion factors for commonly used units. These factors act as a bridge between customary and metric units and simplify the conversion process.
  • Show your work : When solving conversion problems, ask learners to show their work step by step. This will help you identify any mistakes they’ve made and clearly explain them.
  • Practice regularly : Tell your 5 th graders to set aside time for practicing measurement conversion. Regular practice will reinforce their understanding and improve their speed and accuracy.
  • Seek help when needed : If your students struggle with a particular concept or conversion, let them not hesitate to seek help from you or a knowledgeable adult. This is because understanding the underlying principles will make conversion easier.

By following these tips and utilizing grade 5 measurement worksheets from Mathskills4kids.com, students will build a strong foundation in measurement conversion and develop the skills necessary for success in grade 5 math and beyond.

While learning measurement conversion, students may encounter common pitfalls. Here are a few mistakes to watch out for and avoid:

  • Mixing up conversion factors : Students must ensure they use the correct conversion factor for the unit they are converting. Mixing up conversion factors can lead to incorrect answers.
  • Forgetting to cancel units : When performing a conversion, it's important to cancel out units that appear in the numerator and denominator. Failing to cancel units can result in incorrect conversions.
  • Rounding errors : Students should also be mindful of rounding errors when converting between units. They should round at the appropriate step in the conversion process to maintain accuracy.
  • Misinterpreting units : Remind them to pay close attention to the units provided in the problem and the units required for the conversion. Misinterpreting units can lead to incorrect conversions and answers.

By being aware of these common mistakes and practicing diligently, students can avoid them and become confident in their ability to convert measurements accurately.

Measurement is not limited to the classroom. There are numerous opportunities to incorporate measurement practice into everyday activities . By engaging in measurement activities outside of formal lessons, students can further solidify their understanding of measurement concepts and develop a deeper appreciation for the relevance of measurement in their lives.

Please encourage students to measure ingredients while cooking, estimate distances when traveling, or calculate the area of their room. These activities provide practical measurement applications and allow students to see the direct connection between what they learn in the classroom and the world around them.

Bonus: Additional resources for Grade 5 measurement worksheets

In addition to Mathskills4kids’ collection of Grade 5 measurement worksheets , several other resources can further support students' learning and understanding of measurement conversion. Here are some websites that offer free worksheets and activities on various topics related to measurement:

  • Math-Drills.com : This website has a large collection of measurement worksheets for grade 5, covering topics such as length, weight, volume, area, perimeter, angles, and more. You can choose the difficulty level, the measurement units, and the type of problems you want to practice. https://www.math-drills.com/measurement.php .
  • K5 Learning : This website offers printable measurement worksheets for grade 5 and online interactive quizzes and games. You can practice converting between different units of measurement, estimating and measuring length, weight, and capacity, and solving word problems involving measurement. https://www.k5learning.com/free-math-worksheets/fifth-grade-5/measurement .
  • com : This website provides fun and engaging measurement activities for grade 5, such as making a ruler, measuring shadows, creating a scale model, and more. You can also find worksheets, games, and videos on measurement topics for grade 5. https://www.education.com/activity/fifth-grade/measurement/ .

By utilizing a combination of worksheets, online resources, interactive games, and real-world applications, students can reinforce their understanding of measurement conversion and develop a well-rounded skill set.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Measurement conversion is a crucial skill that students in grade 5 must master to succeed in mathematics and everyday life. Mathskills4kids’ comprehensive collection of Grade 5 measurement worksheets provides the perfect platform for students to practice and perfect their customary and metric conversion skills.

So, whether you're a teacher looking to enhance your lesson plans or a parent wanting to support your child's learning at home, our Grade 5 measurement worksheets are the perfect resource to take your 5 th grader's measurement skills to the next level.

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U.S. Customary Unit Conversion Worksheets

Converting units is an important skill that comes handy in our day-to-day life. A sound knowledge of conversion factors definitely quickens the task at hand. A conversion factor is nothing, but the number used to change one set of units to another, by multiplying to convert from larger units to smaller, or by dividing to do vice versa. Whether you need to convert measures of length, weight, or capacity these U.S. Customary Unit Conversion worksheets have them all covered and much more for your grade 3, grade 4, grade 5, and grade 6 kids. Our free worksheets complement your teaching and are worth a try!

Customary Unit Conversion Chart

Customary Unit Conversion Chart

Summarized in this customary unit conversion chart are units of length, capacity, and weight along with their equivalents in other units. This handout is designed to help kids memorize the conversion formulas.

  • Download the Chart

Converting between Units of Length | Revision

Converting between Units of Length | Revision

Channel the U.S. customary conversion practice of your 3rd grade through 6th grade kids with these printable revision worksheets, and check how well-versed they are in converting from one unit of length to the other.

  • Download the set

Converting between Units of Capacity | Revision

Converting between Units of Capacity | Revision

Recapitulation or testing, whatever you intend to do these pdfs should be your obvious choice. The trick lies in applying the right liquid volume conversion formulas relating the units and then multiplying or dividing them.

Converting Inches, Feet, and Yards

Converting Inches, Feet, and Yards

How many inches make a foot? How many feet are there in a yard? Watch how kids become adept in converting between the units of length with these inches, feet, and yards conversion pdfs.

(24 Worksheets)

Converting Feet, Yards, and Miles

Converting Feet, Yards, and Miles

Hammer home the importance of converting between feet, yards, and miles as you work your way through these printable exercises, multiplying and dividing the units, applying the appropriate conversion factors.

(15 Worksheets)

Converting Ounces, Pounds, and Tons

Converting Ounces, Pounds, and Tons

The mantra that you need to remember to accurately convert the customary units of weight (mass) from pounds to ounces and tons and vice versa is 1 pound has 16 ounces, and 2,000 pounds make a ton.

Converting Teaspoons, Tablespoons, and Fluid Ounces

Converting Teaspoons, Tablespoons, and Fluid Ounces

Converting teaspoons, tablespoons, and fluid ounces finds immense application in our kitchens. Remember the formula 1 tbsp = 3 tsp, and 1 fl oz = 6 tsps for a hassle-free ride through these pdf worksheets.

(18 Worksheets)

Converting Cups, Pints, Quarts, and Gallons

Converting Cups, Pints, Quarts, and Gallons

"Two cups in a pint, two pints in a quart, and four quarts in a gallon." Chant this like a spell, and watch the magic work while converting capacity measures between pints, quarts, and gallons in these pdfs.

(21 Worksheets)

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» Metric Unit Conversion

» Measuring Length

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Homeschool Science Corner: The Importance of Units of Measurement

May 14, 2013 by Paige Hudson

Units of Measurement | Homeschool Science Corner at Elemental Blogging

That’s why from the very first time I introduce measurements to my students I always emphasize the importance of not forgetting to write the units. I know from experience how key it is to lay a foundation for remembering these units of measurement early on.

Why are the units of measurement so important?

Knowing the units of measurement that correspond with a number can give you so much more information than a digit sitting there by itself. Units can:

  • Help to show another person the exact amount you have;
  • Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer;
  • Show which measurement system the person is using (i.e. metric or standard).

In a nutshell, the unit of measurement in science serves as the supporting pillar upon which a number rests.

What are the two main systems of measurement?

There are two main systems of measurement used in today’s nations:

  • The Metric System –  This system is used in most of the world and it employs units like meters, grams and liters. The system is base 10 and the names are formed with prefixes. It was derived from one of the early French measuring systems.
  • The Standard or Standard American Engineering (SAE) System –  This system is mainly utilized in the United States and it contains units like inches, pounds and gallons. It was derived from an early English measuring system that has its roots in the Roman system of measurements.

In the US, the SAE system of units is more widely used on consumer products and in industrial manufacturing, while the metric system is more widely used in science, medicine and government. So, it’s especially important for American students to be familiar with both systems .

What about converting units between systems?

Every student should know how to convert measurements inside of their most commonly used system of measurement.  By this I mean that they should be familiar with knowing how to convert grams to kilograms or ounces to pounds.  Normally, these conversion factors are taught as a part of their math program.  I also recommend that have your students memorize several basic conversion factors between the two systems . Here’s what every student should know:

  • Pounds to Kilograms: 1 kg = 2.2 lb
  • Gallons to Liters: 1 gal = 3.785 L
  • Feet to Meters : 1 foot = 0.305 m

Want a free set of worksheets to practice these conversions along with a conversion factor cheat sheet? Head to the Printables page !

How do you emphasize units of measurement outside of math class?

One of the key ways to stress the need for units to accompany numbers apart from math class is in the science lab. In other words, when the students record their results in an experiment, make certain that they include the units. In the beginning, you should also take the time to explain why those few letters are so necessary when they record their results .   Remember that  results  are the specific and measurable things that occur in your experiment, so they cannot be truly understood unless the numeral is paired with a unit of measurement.

Here are two more tips for highlighting units of measurement outside of math and science.

  • Call out the amount and the units when you measuring ingredients for a recipe. For example, say we need 1 cup (or 240 milliliters) of milk for this recipe, instead of we need 1 of that big one over there.
  • Talk about the units of distance when going for a ride in the car or when taking a walk. You can say it’s 5 miles (or 8 kilometers) to the store and that will take us about 10 minutes to get there.

There are many situations in our everyday life into which we can weave the concept of units of measurements. Doing so, will instill in our students an importance in the units of measurements that will spill over into their scientific studies.

by Paige Hudson

May 14, 2013 at 8:07 am

We are sticklers for including units of measurement here too. They can convert within each system, but I haven’t had them convert between systems. Thank you for mentioning and including those conversion factors. We will add them to our list of memory work. 🙂 I agree that there are many opportunities in every day life to discuss units of measure and we take the time to do so. One of our favorites is to discuss unit prices at the grocery store. We will look at the unit price, weigh our produce and then calculate the final cost based on the weight. Sometimes we try to estimate the weight as well before putting it on the scale. We also use the unit price to compare sale offers to see which is really a better deal.

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May 14, 2013 at 8:20 am

What a great idea to weave in math and units in the grocery store!

Here’s the last few that I didn’t include the factors for in the post in case you want to add them to your list as well: Miles to Kilometers: 1 mi = 1.61 km Cups to Milliliters: 1 c = 240 mL Inches to Centimeters: 1 in = 2.54 cm Ounces to Grams: 1 oz = 28.3 g

May 14, 2013 at 8:40 am

Thank you! I will add them to the list as well. 🙂

Brought to you by CU Engineering (University of Colorado Boulder)

FREE K-12 standards-aligned STEM

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Find more at TeachEngineering.org .

  • TeachEngineering
  • Measure Twice, Cut Once

Lesson Measure Twice, Cut Once

Grade Level: 4 (3-5)

Time Required: 15 minutes

Lesson Dependency: None

Subject Areas: Measurement

NGSS Performance Expectations:

NGSS Three Dimensional Triangle

  • Print lesson and its associated curriculum

Activities Associated with this Lesson Units serve as guides to a particular content or subject area. Nested under units are lessons (in purple) and hands-on activities (in blue). Note that not all lessons and activities will exist under a unit, and instead may exist as "standalone" curriculum.

  • Give an Inch, Take a Foot
  • Exploring Variables While Testing & Improving Mint-Mobiles (for Elementary School)

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Engineering connection, learning objectives, worksheets and attachments, more curriculum like this, pre-req knowledge, introduction/motivation, associated activities, lesson closure, vocabulary/definitions, user comments & tips.

Engineers help shape a safer future

Engineers use many different methods of measurement, depending on the task at hand. The scales they use range from tiny to very large, and all measurements need to be accurate and precise. Both accuracy and precision are very important — whether building the cars for a new rollercoaster or developing a new type of medicine — because small mistakes can lead to big disasters!

After this lesson, students should be able to:

  • List which units of measurement are used for different properties.
  • Estimate simple measurements of distance and length.
  • Explain how engineers use measurement and understand the importance of accuracy and precision in engineering design.

Educational Standards Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards. All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN) , a project of D2L (www.achievementstandards.org). In the ASN, standards are hierarchically structured: first by source; e.g. , by state; within source by type; e.g. , science or mathematics; within type by subtype, then by grade, etc .

Ngss: next generation science standards - science, common core state standards - math.

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State standards, colorado - math.

Students should have some prior experience with the terms mass, distance, length and volume.

You are probably familiar with units such as pounds, feet, inches and gallons, but engineers also frequently use units of meters, grams and liters. These units are a part of the metric system . What kinds of things do you think engineers might need to measure? (Have students brainstorm "measuring" situations. Possible answers may include: height of a roller coaster, volume of a large aquarium, weight of a rocket, or distance across a bridge.) As young engineers, we should practice using the metric system also.

Let's start out by thinking about distance. How far away do you think I am from the back of the room? (Students will probably reply in units of feet.) As an engineer, we would use a unit called a meter to discuss this distance. This is how long a meter is. (Hold up a meter stick.) One meter equals about 3 feet. So, knowing this, how many meters from the back of the room do you think I am standing? Excellent guesses! Does someone want to use this meter stick and find out the correct measurement? (Select a student to measure the distance and write it on the white/chalk board.) Can you estimate how far from school you live in meters? Does this seem like a long way away (similar to saying I live 2,000 feet from school)? A much better unit of measurement for this is a kilometer . There are 1,000 meters in one kilometer and 0.62 miles in one kilometer. This means that one mile is longer than one kilometer. How far from school do you think you live in units of kilometers? (Take a few student estimates and write this value on the chalk/white board.) How far away do you think the sun is in kilometers? (Again, write several students' guesses on the board.) The sun is nearly 150,000,000 kilometers (about 93 million miles) away! (Write this figure on the board also.) This distance is enormous!

Let's look at something smaller. Think about the distance from your heel to your toe? Would we use a kilometer? (Answer: No) How about a meter? (Answer: You could, but that is still not the best measurement.) Actually, there is an even better unit than a meter — a centimeter . There are 100 centimeters in one meter. Look at your ruler and notice that one side has inches, and the other side might have centimeters. Can you estimate the length of your foot in centimeters? (Take a few student guesses and record this value on the chalk/white board.) Great job! Did you notice on the ruler that the centimeter is broken down into smaller parts? These are called millimeters . Between each centimeter there are 10 millimeters. Can anyone tell me how many millimeters there are in one meter? (Answer: 1,000) What would an engineer measure using millimeters? (Answers may include: the size of a bug, the length of a small piece of wire for a household appliance or even the thickness of a piece of metal.)

Do you wonder if there are even smaller units? Yes, there are (the picometer and nanometer, among others). What are some possible things you imagine might need to be measured that are smaller than a millimeter? (Possible answers: size of cells or bacteria, tiny circuits for computers and other electronic devices.) To measure in micrometers, you would need a microscope for this!

Many engineers need to measure length of distance as part of their work. For example, a civil engineer might want to measure the length of a bridge in meters or kilometers, and a biomedical engineer might want to measure the length of a small bone in centimeters or millimeters.

All of these things we have talked about so far are measurements of distance or length. There are other quantities of an object we might want to measure, also. For example, we can measure the length of a text book, but we also might want to measure its mass . Remember that mass is the amount of matter in an object. (Remind students that mass is different than weight .) What do you think the mass of this text book is? (Students' answers will probably be in pounds.) Great! These are all good guesses. As scientists and engineers, we use a unit called a gram . One pound is equal to about 454 grams. (Write this relation on the board and then ask students which unit is smaller.) A green pea, for example, has a mass of about one gram. What do you think the mass of an apple is in grams? (Record a few students' estimates on the chalk/white board.)

How about something more massive, such as a stack of dictionaries? There is a better unit to use for massive objects: a kilogram . One kilogram equals about 2 pounds or 1,000 grams (write this relation on the board). Now think of an object with very little mass, such as a grain of rice. Would you use kilograms to measure its weight? (Answer: No) How about grams? (Answer: No) We would use an even smaller unit called a milligram . There are 1,000 milligrams in one gram.

Do you notice a similarity between kilogram and kilometer ? These two words have the prefix kilo (underline this portion of both words). Kilo means 1,000 in the metric system.

Can anyone think of another quantity you may want to measure? How about liquid? No, it's not temperature in this case (although temperature is a very important quantity that engineers need to measure). Let's assume you wanted to measure how much of a liquid you had. What units might you use? Think of a jug of milk. Your mom or dad may often purchase a "gallon" of milk from the store. A gallon is a unit of volume, but like inches and pounds, it is not the scientific unit of measurement. Instead, engineers use liters . This is a liter. (Show the students a one-liter bottle.) Just like meters and grams, liters are divided into larger and smaller units as well. The most common of these is a milliliter . Is a milliliter larger or smaller than a liter? (Answer: Smaller) Correct! There are 1,000 milliliters in one liter, so the milliliter is smaller. (Show the students a milliliter with a glass measuring cup. Fill the cup with a colored liquid.) Can you estimate the volume of liquid in this cup? (Have students record this guess.) What might an engineer measure in liters? (Answer: An environmental engineer might design a water storage tank to hold a certain number of liters, or a biomedical or chemical engineer might measure medicines or chemicals in milliliters.)

Now that we know how and why engineers measure different things, can you think of a reason why it would be important for an engineer to make an accurate measurement? What would happen if an aerospace engineer designed a rocket to carry humans to Mars and they made a mistake when measuring the size of the fuel tank? The astronauts might not have enough fuel to make it back to Earth and not only would we lose the rocket, we would lose the lives of the astronauts and all the hard work and money that went into the space mission! Can you think of another example of how a small mistake in measurement could result in a big disaster? (Example: If a chemical engineer measured the volume of a solution incorrectly when they were creating a new medicine, they might make people much more sick, rather than enabling them to get well.)

Let's measure the quantities that we estimated earlier. (Measure the mass of the apple, and the volume of the liquid in front of the class. Have the students measure the length of their foot.) Now that we have measured these values, compare them to your estimates. Were you close? Following the lesson, refer to the associated activities Give an Inch, Take a Foot and Exploring Variables While Testing & Improving Mint-Mobiles for a hands-on way to test students abilities to estimate measurements and understanding of independent and dependent variables.

Lesson Background and Concepts for Teachers

Imperial to Metric Conversion (approximations):

1 pound (lb) = 0.454 kilograms (kg) = 454 grams (g)

1 foot (ft) = 0.305 meters (m)

1 mile (mi) = 1.61 kilometers (km)

1 inch (in) = 2.54 centimeters (cm)

1 gallon (gal) = 3.78 liters (l)

1 ounce (oz) = 29.6 milliliters (ml)

Metric to Imperial Conversions (approximations):

1 kilogram (kg) = 2.21 pounds (lbs)

1 meter (m) = 3.28 feet

1 kilometer (km) = 0.621 miles (mi)

1 centimeter = 0.394 inches (in)

1 liter = 0.265 gallons (g)

1 milliliter (ml) = .0338 ounces (oz)

  • Give an Inch, Take a Foot - Students use a word-bank of measurement vocabulary to complete sentences. They also make estimations of length and distance and compare their values with the values they measure with a meter stick or ruler.

Watch this activity on YouTube

It is very important for engineers to know what units to use to measure certain quantities. Why? This is critical when an engineer presents data or when s/he needs to recreate an experiment or rebuild a device. It is also important for communication with engineers in other cities or countries. For example, think about how hard it would be to bake a delicious cake for the first time without a recipe. How would we know how much flower or sugar to add? Knowing how to measure accurately assures that we have just the right amounts of all the ingredients.

So, as we have discussed, there are many different units of measure. It is important to have an understanding of the metric system, as it is used all over the world. It is especially important for engineers to have knowledge of units of measurement so that they can develop the safest and most effective products.

imperial units: A system of units first developed by the British Weight and Measures Act. Also referred to as foot-pound-second units.

mass: The amount of matter in an object.

metric units: A decimalized system of units devised around the number 10. Also referred to as the International System of Units, or SI units.

Pre-Introduction Assessment

Brainstorming/Prior Knowledge: Have students list some quantities that engineers might need to measure along with their corresponding units. Also, have them list reasons why measuring is important.

Post Introduction Assessment

Estimation: Have the students estimate the following quantities in metric units:

  • The distance from their home to school (km)
  • The length of their foot (cm)
  • The mass of their favorite pet (kg)
  • The mass of an apple (g)
  • The volume of liquid in the container (mL)

Afterwards, tell the students the actual mass of the apple and the actual volume of liquid in the container and have students measure the length of their foot. Have the students compare their estimates with the actual values and comment on their predictions: "My prediction for the mass of the apple was too big," or "I thought the mass of the apple was less than the actual mass."

Lesson Summary Assessment

Class Discussion : List several types of engineers on the Board. (Possible examples could include: civil engineers, mechanical engineers, aerospace engineers, chemical engineers, environmental engineers, etc.) For each type of engineer, have students think of at least one measurement that would be important for that type of engineer's job and the units they would use. Also, have them think about the disasters that could occur if the measurements are not accurate. Encourage the students to share their answers with the class.

Homework: Have the students complete the Practice Your Units Worksheet ; review their answers to gauge their mastery of the subject.

Lesson Extension Activities

Have the class measure several of the objects in the room (teacher's desk, students' desks, book cases, chalk/white boards, closets, windows, etc.) by assigning a group of students a task (for example, one group would be in charge of measuring and counting the total number of desks and tables, another group would be in charge of measuring the width of doors, windows, and chalk/white boards, etc.) After all of the objects have been measured, have each group pretend they are an architectural engineering team working to create a layout of the classroom. Students should make a scaled poster or drawing to present to the class.

the importance of units worksheet answers

Students practice measuring techniques by measuring different objects and distances around the classroom. They practice using different scales of measurement in metric units and estimation. Also, students learn how measurement is used in engineering and why accuracy is important to the design of new...

preview of 'Give an Inch, Take a Foot' Activity

Learn the basics of the analysis of forces engineers perform at the truss joints to calculate the strength of a truss bridge known as the “method of joints.” Find the tensions and compressions to solve systems of linear equations where the size depends on the number of elements and nodes in the trus...

preview of 'Doing the Math: Analysis of Forces in a Truss Bridge' Lesson

Students are introduced to the fabulous planet on which they live. They learn how engineers study human interactions with the Earth and design technologies and systems to monitor, use and care for our planet's resources wisely to preserve life on Earth.

preview of 'Our Big Blue Marble' Lesson

Students explore the outermost planets of our solar system: Saturn, Uranus and Neptune. They also learn about characteristics of Pluto and its interactions with Neptune. Students learn a little about the history of space travel as well as the different technologies that engineers develop to make spa...

preview of 'The Outer Planets' Lesson

Contributors

Supporting program, acknowledgements.

The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

Last modified: September 21, 2022

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Physics LibreTexts

1.A: Units and Measurement (Answers)

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Check your Understanding

1.1. \(4.79×10^2\) Mg

1.2. \(3×10^8m/s\)

1.3. \(10^8km^2\)

1.4. The numbers were too small, by a factor of 4.45.

1.5. \(4πr^3/3\)

1.7. \(3×10^4m\) or 30 km. It is probably an underestimate because the density of the atmosphere decreases with altitude. (In fact, 30 km does not even get us out of the stratosphere.)

1.8. No, the coach’s new stopwatch will not be helpful. The uncertainty in the stopwatch is too great to differentiate between the sprint times effectively.

Conceptual Questions

1. Physics is the science concerned with describing the interactions of energy, matter, space, and time to uncover the fundamental mechanisms that underlie every phenomenon.

3. No, neither of these two theories is more valid than the other. Experimentation is the ultimate decider. If experimental evidence does not suggest one theory over the other, then both are equally valid. A given physicist might prefer one theory over another on the grounds that one seems more simple, more natural, or more beautiful than the other, but that physicist would quickly acknowledge that he or she cannot say the other theory is invalid. Rather, he or she would be honest about the fact that more experimental evidence is needed to determine which theory is a better description of nature.

5. Probably not. As the saying goes, “Extraordinary claims require extraordinary evidence.”

7. Conversions between units require factors of 10 only, which simplifies calculations. Also, the same basic units can be scaled up or down using metric prefixes to sizes appropriate for the problem at hand.

9. a. Base units are defined by a particular process of measuring a base quantity whereas derived units are defined as algebraic combinations of base units.

b. A base quantity is chosen by convention and practical considerations. Derived quantities are expressed as algebraic combinations of base quantities.

c. A base unit is a standard for expressing the measurement of a base quantity within a particular system of units. So, a measurement of a base quantity could be expressed in terms of a base unit in any system of units using the same base quantities. For example, length is a base quantity in both SI and the English system, but the meter is a base unit in the SI system only.

11. a. Uncertainty is a quantitative measure of precision. b. Discrepancy is a quantitative measure of accuracy.

13. Check to make sure it makes sense and assess its significance.

15. a. \(10^3\);

b. \(10^5\);

c. \(10^2\);

d. \(10^{15}\);

e. \(10^2\);

f. \(10^{57}\)

17. \(10^2\) generations

19. \(10^{11}\) atoms

21. \(10^3\) nerve impulses/s

23. \(10^{26}\) floating-point operations per human lifetime

25. a. 957 ks;

b. 4.5 cs or 45 ms;

27. a. 75.9 Mm;

29. a. 3.8 cg or 38 mg;

31. a. 27.8 m/s;

33. a. 3.6 km/h;

b. 2.2 mi/h

35. \(1.05×10^5ft^2\)

37. 8.847 km

39. a. \(1.3×10^{−9}m\);

b. 40 km/My

41. \(10^6Mg/μL\)

43. 62.4 \(lbm/ft^3\)

45. 0.017 rad

47. 1 light-nanosecond

49. \(3.6×10^{−4}m^3\)

51. a. Yes, both terms have dimension \(L^2T^{-2}\)

c. Yes, both terms have dimension \(LT^{-1}\)

d. Yes, both terms have dimension \(LT^{-2}\)

53. a. \([v] = LT^{–1}\);

b. \([a] = LT^{–2}\);

c. \([∫vdt]=L\);

d. \([∫adt]=LT^{–1}\);

e. \([\frac{da}{dt}]=LT^{–3}\)

c. \(L^0 = 1\) (that is, it is dimensionless)

57. \(10^{28}\) atoms

59. \(10^{51}\) molecules

61. \(10^{16}\) solar systems

63. a. Volume = \(10^{27}m^3\), diameter is \(10^9\) m.;

b. \(10^{11}\) m

65. a. A reasonable estimate might be one operation per second for a total of \(10^\) in a lifetime.;

b. about \((10^9)(10^{–17}s) = 10^{–8} s\), or about 10 ns

73. a. The number 99 has 2 significant figures; 100. has 3 significant figures.

c. percent uncertainties

77. 7.557 \(cm^2\)

79. a. 37.2 lb; because the number of bags is an exact value, it is not considered in the significant figures;

b. 1.4 N; because the value 55 kg has only two significant figures, the final value must also contain two significant figures

Additional Problems

81. a. \([s_0]=L\) and units are meters (m);

b. \([v_0]=LT^{−1}\) and units are meters per second (m/s);

c. \([a_0]=LT^{−2}\) and units are meters per second squared (\(m/s^2\));

d. \([j_0]=LT^{−3}\) and units are meters per second cubed (\(m/s^3\));

e. \([S_0]=LT^{−4}\) and units are \(m/s^4\);

f. \([c]=LT^{−5}\) and units are \(m/s^5\).

83. a. 0.059%;

c. 4.681 m/s;

85. a. 0.02%;

b. \(1×10^4\) lbm

87. a. 143.6 \(cm^3\);

b. 0.2 \(cm^3\) or 0.14%

Challenge Problems

89. Since each term in the power series involves the argument raised to a different power, the only way that every term in the power series can have the same dimension is if the argument is dimensionless. To see this explicitly, suppose \([x] = L^aM^bT^c\). Then, \([x^n] = [x]^n= L^{an}M^{bn}T^{cn}\). If we want \([x] = [x^n]\), then an = a, bn = b, and cn = c for all n. The only way this can happen is if a = b = c = 0.

Contributors and Attributions

Samuel J. Ling (Truman State University), Jeff Sanny (Loyola Marymount University), and Bill Moebs with many contributing authors. This work is licensed by OpenStax University Physics under a  Creative Commons Attribution License (by 4.0) .

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Chemistry LibreTexts

1: Introduction - Matter and Measurement

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Chemistry is the study of matter and the changes that material substances undergo. Of all the scientific disciplines, it is perhaps the most extensively connected to other fields of study. As you begin your study of college chemistry, those of you who do not intend to become professional chemists may well wonder why you need to study chemistry. You will soon discover that a basic understanding of chemistry is useful in a wide range of disciplines and career paths. You will also discover that an understanding of chemistry helps you make informed decisions about many issues that affect you, your community, and your world. A major goal of this text is to demonstrate the importance of chemistry in your daily life and in our collective understanding of both the physical world we occupy and the biological realm of which we are a part.

  • 1.1: Studying Chemistry An understanding of chemistry is essential for understanding much of the natural world and is central to many other disciplines. Chemistry is the study of matter and the changes material substances undergo. It is essential for understanding much of the natural world and central to many other scientific disciplines, including astronomy, geology, paleontology, biology, and medicine.
  • 1.2: Classification of Matter Matter can be classified according to physical and chemical properties. Matter is anything that occupies space and has mass. The three states of matter are solid, liquid, and gas. A physical change involves the conversion of a substance from one state of matter to another, without changing its chemical composition. Most matter consists of mixtures of pure substances, which can be homogeneous (uniform in composition) or heterogeneous (different regions possess different compositions & properties.
  • 1.3: Properties of Matter All matter has physical and chemical properties. Physical properties are characteristics that scientists can measure without changing the composition of the sample under study, such as mass, color, and volume (the amount of space occupied by a sample). Chemical properties describe the characteristic ability of a substance to react to form new substances; they include its flammability and susceptibility to corrosion.
  • 1.4: Units of Measurement The natural sciences begin with observation, and this usually involves numerical measurements of quantities such as length, volume, density, and temperature. Most of these quantities have units of some kind associated with them, and these units must be retained when you use them in calculations. Measuring units can be defined in terms of a very small number of fundamental ones that, through "dimensional analysis", provide insight into their derivation and meaning.
  • 1.5: Uncertainty in Measurement Measurements may be accurate, meaning that the measured value is the same as the true value; they may be precise, meaning that multiple measurements give nearly identical values (i.e., reproducible results); they may be both accurate and precise; or they may be neither accurate nor precise. The goal of scientists is to obtain measured values that are both accurate and precise.
  • 1.6: Dimensional Analysis Dimensional analysis is used in numerical calculations, and in converting units. It can help us identify whether an equation is set up correctly (i.e. the resulting units should be as expected). Units are treated similarly to the associated numerical values, i.e., if a variable in an equation is supposed to be squared, then the associated dimensions are squared, etc.
  • 1.E: Matter and Measurement (Exercises) These are homework exercises to accompany the Textmap created for "Chemistry: The Central Science" by Brown et al.
  • 1.S: Matter and Measurement (Summary) This is the summary Module for the chapter "Matter and Measurement" in the Brown et al. General Chemistry Textmap.

Thumbnail: Chemicals in flasks (including Ammonium hydroxide and Nitric acid) lit in different colours (CC BY 2.0 Generic; Joe Sullivan via Flickr )

Units of Measurement Questions

Measurement is nothing but a process of associating numbers with physical quantities and the phenomenon. Measurement is the most fundamental concept in science. In 1790, the metric system was introduced in France. It was France’s first standardised measurement system. Now, it is the standard form of measurement, which is accepted in every country except the United States. There are seven central base units of measurement, and they are:

  • Length – Metre
  • Mass – Kilogram
  • Temperature – Kelvin
  • Amount of substance – Mole
  • Luminous intensity – Candela
  • Electric current – Ampere
  • Time – Second

The unit derived from these seven base units is determined by the International System of Units called SI-derived units. These derived units are dimensionless or can be described as a product of one or more base units. A suitable power of exponentiation can also scale them.

Read More – Units of Measurement

Important Questions with Answers

1. What is meant by dimensionless units?

Dimensionless units are the dimensionless values that act as a unit of measurement for describing different quantities, such as steradians for solid angels.

2. What are the fundamental units of measurement and derived units?

Fundamental units: The units dependent on any other unit are known as fundamental units. Examples: Metre, Kilogram, Second, Ampere, etc.

Derived unit: The units obtained by dividing or multiplying one or more fundamental units with or without introducing any other units are known as the derived unit. Example: Hz, rad, N, F, etc.

3.The speed of light is ________.

  • 299,792,458 m/s
  • 299,792,458 km/s
  • 499,792,458 km/s
  • 499,792,458 m/s

Answer: a. 299,792,458 m/s

Explanation: The speed of the light in the vacuum is 299,792,458 m/s.

4. How many base units are there? Explain each of them.

There are seven base units of measurement.

Metre, a unit of length, is described as the distance of the path travelled by light in a single interval of precisely 1/299792458 seconds. The metre is fully based on the velocity of light in a vacuum which is c = 299,792,458 m/s. The symbol of the metre is ‘m’.

  • Electric Current – Ampere

Ampere or amp is the unit of electric current in the SI system. The value of 1 Ampere is equivalent to the 6.2415 x 10 18 electrons’ worth of charge moving past a point in a second.

The kilogram is the mass of a prototype platinum-iridium cylinder kept in Paris, France, at the International Bureau of Weights and Measures. The symbol of the unit of mass is ‘kg’.

The temperature’s SI unit is Kelvin. Kelvin is exactly 1/(273.16) of the thermodynamic temperature of the triple point of water. The symbol of kelvin is ‘K.’

  • Amount of Substance – Mole

The amount of any substance’s SI unit is the mole. One mole is defined as the mass of the substance with 6.302 x 10 23 atoms, also called Avogadro’s number.

  • Luminous Intensity – Candela

The luminous intensity’s SI unit is Candela (cd). Candela can be described as the luminous intensity in a supplied order of a source with the luminous intensity of 1/ 683 steradian and emits radiation of a consistent frequency of 540 x 10 12 Hz in a particular direction.

Second is the time carried by 9,192,631,770 periods of oscillations of the light emitted by a caesium-133 atom, reaching the transition between two hyper-fine levels of the ground state. The symbol of the unit of time is ‘s’.

4. What is the system of units?

The system of units is nothing but the whole set of units, including both fundamental and derived units for all physical quantities.

5. What are the advantages of the SI system of units?

In the SI system of units, each physical quantity has only one particular unit. This means it is unnecessary to convert one form of a unit into another format of a unit within the system. There are no conversion factors for learners to memorise.

6. Measurement is a process in which the properties of an object are determined by comparing them to a standard or known quantity.

Answer: a. True

Explanations: The given statement is the proper description of the measurement. Measurement is the procedure in which the properties of an entity are determined by comparing them to a standard.

7. The unit of luminous intensity is _______.

  • Candela (cd)
  • Becquerel (Bq)

Answer: c. Candela (cd)

Explanation: Candela (cd) is the unit of luminous intensity. It can be described as the luminous intensity in a provided order of any source with the radiant intensity of 1/ 683 steradian and emits radiation of a consistent frequency of 540 x 10 12 Hz.

8. Becquerel is the unit of ________.

  • Radioactive decay
  • Electrical capacitance
  • Luminous intensity

Answer : b. Radioactive decay

Explanation: The unit of radioactive decay (decays per unit time) is the becquerel (Bq). This is an example of a derived unit.

9. What is the smallest unit of time?

The smallest unit of time is zeptosecond.

10. Fill in the blank.

The mole is the amount of substance which contains as many entities as there are atoms in ______________ of carbon-12.

Answer : a. 0.012 kg

Explanation: The mole is the amount of substance which contains as many entities as there are atoms in 0.012 kg of carbon-12.

Practice Questions

  • What is the unit of electrical capacitance?
  • What are the significant figures?
  • What is meant by dimensional units?
  • Define magnetic flux.
  • What is second?

To learn more about Physical Quantities, watch the video below.

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Free Printable Converting Metric Units Worksheets for 7th Grade

Converting Metric Units worksheets for Grade 7 Math teachers to help students discover and master the art of metric conversions. Download and print these free resources from Quizizz for effective learning.

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Explore printable Converting Metric Units worksheets for 7th Grade

Converting Metric Units worksheets for Grade 7 are an essential resource for teachers looking to enhance their students' understanding of Math, Measurement, Scale, and Conversions. These worksheets provide a variety of exercises and problems that challenge students to apply their knowledge of the metric system, helping them to develop the skills necessary to accurately measure and convert units of length, mass, and capacity. As a teacher, you know the importance of providing engaging and effective learning materials for your Grade 7 students. By incorporating these worksheets into your lesson plans, you can ensure that your students have a solid foundation in metric unit conversions, setting them up for success in future math courses and real-world applications.

In addition to Converting Metric Units worksheets for Grade 7, Quizizz offers a comprehensive platform for teachers to create and share interactive quizzes, polls, and presentations that can be used alongside worksheets to reinforce learning and assess student progress. With Quizizz, you can easily customize quizzes to align with your lesson objectives and track student performance in real-time. This powerful tool not only helps you identify areas where your Grade 7 students may need additional support but also allows you to gamify the learning experience, making math and measurement more engaging and enjoyable for your students. By combining the use of worksheets with Quizizz's innovative features, you can create a dynamic and effective learning environment that fosters a deeper understanding of metric unit conversions and other essential math concepts.

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  1. Measuring Units Worksheet Answer Key

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  2. Measuring Units Worksheet Answer Key

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  3. Measuring Units Worksheet Answer Key

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  4. Measurement Appropriate Units

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  5. Measuring Units Worksheet Answers

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  6. 12 Best Images of Measuring Units Worksheet Answer Key Metric Unit

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VIDEO

  1. CLASS 4/MEASUREMENTS/13 & 14 WORKSHEETS/SEMESTER 3

  2. CLASS 4/MEASUREMENTS/5 & 6 WORKSHEET/SEMESTER 3

  3. CLASS 4/MEASUREMENTS/21 & 22 WORKSHEETS/SEMESTER 3

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  5. CLASS 4/MEASUREMENTS/11 & 12 WORKSHEETS/SEMESTER 3

  6. CLASS 4/MEASUREMENTS/17 & 18 WORKSHEETS/SEMESTER 3

COMMENTS

  1. PDF 1.2.1 THE IMPORTANCE OF UNITS

    from Hands-On Chemistry (Herr & Cunningham) Concepts to Investigate: Fundamental units, derived units, factor labels, dimensions. Materials: none. Principles and Procedures: When crossing the border to Canada, American motorists are often surprised to see speed limits of "90" or "100".

  2. DOC 1.2 UNITS OF MEASUREMENT

    Scientific notation can help the student and us answer this important question. Carefully inspect the following: 230 = 2.3 x 102. 230 = 2.30 x 102. ... This activity is designed to help students understand the importance of units and recognize their use in everyday life. Students are asked to supply units for various measurements where they ...

  3. Units of Measure: Worksheets with Answers

    Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Converting units of mass. 1. 2.

  4. Why use units

    A unit of measurement is a standard way of expressing a physical quantity. Units of measure provide context for what numerical values represent and so convey the magnitude of physical properties ...

  5. 1.1: The Importance of Units

    The number is "one," and the unit is "dozen eggs." The number is "2.54," and the unit is "centimeter." The number is an implied "1," because the quantity is "a" box. The unit is "box of pencils." The number is "88," and the unit is "meters per second." Note that in this case the unit is actually a combination of two units, "meters" and "seconds."

  6. The SI UNITS Unit

    The SI Units Quick Questions Worksheet is an effective review of the "What are the SI Units?" slideshow and note sheet. Students can use their notes to answer the 25 questions featured about the International System of Units. The answers to the quick questions can then be self-checked by using the "SI Units Quick Questions" slideshow.

  7. PDF General Physics I Chapter 1: Measurement

    5.32 + 12.587 = 17.91. • When two physical quantities are added or subtracted, their units must be the same. If they are in different units, then we need to convert one unit to the other. To convert units, we simply multiply the unit to be converted by a conversion factor, which has the value of exactly one. m . 10.4 m/s=10.4 ×. s. -4 mi.

  8. 14.1: The importance of Units

    14.1: The importance of Units. When working with engineering and science it is important to keep an eye on your units. This is a theme that professors are always harping on, but with seemingly little success. This might be because when assignments or tests are time constrained it seems like something you can skip.

  9. Measuring units worksheets

    Measurement units worksheets for grade 5; Measurement units worksheets for grade 6. Basic instructions for the worksheets. Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file. You can generate the worksheets either in html or PDF format — both are easy to ...

  10. Measuring Units Worksheet

    Download PDF Suggested Article: Measuring Length Worksheets Importance of Practising Measuring Units Worksheets It is essential to practise the measuring units worksheet. There are different types of measurements used in everyday life for measuring length, mass, volume and time.

  11. Grade 5 measurement worksheets: Customary and metric conversion

    From customary to metric units: Grade 5 measurement worksheets for perfecting conversion. ... Mixing up conversion factors can lead to incorrect answers. Forgetting to cancel units: When performing a conversion, it's important to cancel out units that appear in the numerator and denominator. Failing to cancel units can result in incorrect ...

  12. 1.4: Units of Measurement

    Learning Objectives. To identify the basic units of measurement of the seven fundamental properties ; Describe the names and abbreviations of the SI base units and the SI decimal prefixes.; Define the liter and the metric ton in these units.; Explain the meaning and use of unit dimensions; state the dimensions of volume.; State the quantities that are needed to define a temperature scale, and ...

  13. U.S. Customary Unit Conversion Worksheets

    How many feet are there in a yard? Watch how kids become adept in converting between the units of length with these inches, feet, and yards conversion pdfs. (24 Worksheets) Converting Feet, Yards, and Miles

  14. The Importance of Units of Measurement

    Units can: Help to show another person the exact amount you have; Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer; Show which measurement system the person is using (i.e. metric or standard).

  15. Measure Twice, Cut Once

    Summary. Students learn the metric units engineers use to measure mass, distance (or length) and volume. They make estimations using these units and compare their guesses with actual values. To introduce the concepts, the teacher needs access to a meter stick, a one-liter bottle, a glass container that measures milliliters and a gram scale.

  16. PDF Healthcare Math: Using the Metric System

    Convert units of measurement within and between the metric and customary systems Solve multi-step measurement problems Setting the stage: Provide students with background information about the typical responsibilities of a medical assistant.

  17. 1.A: Units and Measurement (Answers)

    Also, the same basic units can be scaled up or down using metric prefixes to sizes appropriate for the problem at hand. 9. a. Base units are defined by a particular process of measuring a base quantity whereas derived units are defined as algebraic combinations of base units. b. A base quantity is chosen by convention and practical considerations.

  18. Decimals in Measurement Units Worksheets

    1/100. Thousandths. 1/1,000. Ten Thousandths. 1/10,000. Hundred Thousandths. 1/100,000. Both 0.09 km and 90 m are equal and the only difference is a decimal place and a unit of measure. These activity sheets will work on place value and decimals in measurement.

  19. 1: Introduction

    It can help us identify whether an equation is set up correctly (i.e. the resulting units should be as expected). Units are treated similarly to the associated numerical values, i.e., if a variable in an equation is supposed to be squared, then the associated dimensions are squared, etc. 1.E: Matter and Measurement (Exercises)

  20. Units of Measurement Questions

    The unit derived from these seven base units is determined by the International System of Units called SI-derived units. These derived units are dimensionless or can be described as a product of one or more base units. A suitable power of exponentiation can also scale them. Read More - Units of Measurement. Important Questions with Answers. 1.

  21. Metric Units Textbook Answers

    These are the Corbettmaths Textbook Exercise answers to Metric Units. ... Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Books; Metric Units Textbook Answers. Click here for Answers . answers. Previous: Primary/Secondary Data Textbook Answers. Next: Converting Areas Textbook Answers. GCSE ...

  22. What is the importance of a unit vector?

    1 Its just useful to represent direction as it doesn't scale. Every vector has a magnitude and a direction. It is often useful to split a vector in to these two components. The direction is the unit vector. So if you are moving at $30$m/s NW then you can think of this as $30$ times a unit vector pointing NW. - user765629 Jul 16, 2020 at 5:56

  23. Free Printable Converting Metric Units Worksheets for 7th Grade

    Converting Metric Units worksheets for Grade 7 are an essential resource for teachers looking to enhance their students' understanding of Math, Measurement, Scale, and Conversions. These worksheets provide a variety of exercises and problems that challenge students to apply their knowledge of the metric system, helping them to develop the ...