rounding decimals homework

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Rounding Decimals Worksheets

Are you a student of grade 5? Does working with a long chain of decimals scare you? Then learn this essential skill of rounding decimals. Incorporated here are printable rounding decimals that contain exercises worksheets for 5th grade and 6th grade students, to round off decimals on a number line, rounding up or down, rounding decimals to the nearest whole number, tenths, hundredths or thousandths, word problems and more. Check out some of these worksheets for free!

Round Up or Round Down

Implement these printable grade 5 worksheets to round up or round down the decimals to the nearest whole number, tenths, hundredths and thousandths.

• Download the set

Circle the Decimals

Spot the decimals that round up or down to the specified whole number or decimal place values and circle them.

Rounding to the Nearest Whole Number

Round each decimal to the nearest whole number. Make calculations simple by rounding up if the value is greater than or equal to 5 and round down if it is less than 5.

Rounding to the Nearest Tenth

Observe the digit in the hundredths place to round the decimal to the nearest tenth in these 5th grade decimal rounding worksheets. Apply the concept of rounding decimals to real-life word problems.

Rounding to the Nearest Hundredth: With Word Problems

Analyze the thousandths place value to round the decimals to the nearest hundredth. Two word problems are featured in each pdf worksheet.

Rounding to the Nearest Thousandth

Recognize the digit in the ten thousandths place and round it to the nearest thousandth. Reiterate the concept of rounding decimals with these grade 6 worksheets consisting of drills and word problems.

Listing Out the Possible Decimals Using the Given Digits

This worksheet serves best in testing the logical skills of children. Observe the series of digits given and build decimals that can be rounded off to the specified whole number.

Rounding Decimals: Mixed Review | Type 1

Review your rounding skills with this practice resource! Round up or round down each decimal to one and two decimal places, and to the nearest whole number as directed, and assess yourself!

Rounding Decimals: Mixed Review | Type 2

Reiterate rounding decimals to the nearest whole number, nearest tenth, and nearest hundredth with these printable revision worksheets. The tabular format facilitates a comparison of the three rounded values and an easy understanding of the topic eventually.

Rounding Decimals to the Underlined Place Value

Review the concept of rounding decimals in this set of 6th grade pdf worksheets. Examine the underlined digit, identify its place value and then round off the decimals to the required place value.

Rounding Decimals: In & Out boxes

A fun way to recapitulate rounding decimals is featured here. Every in and out box comes with a rule, apply the rule to round off each decimal in the box to the specified place value.

Rounding Decimals using Number Lines

The best possible way to learn rounding decimals is to use the number line tool. Included here are worksheets with number lines to practice rounding decimals to the nearest whole number, tenths or hundredths.

(25 Worksheets)

Rounding Decimals: Significant Figures

Grab this assortment of rounding significant figures worksheets to heighten your understanding with skills like rounding to one, two and three significant figures, rounding up to five significant figures, rounding significant figures involving arithmetic operations and more.

(18 Worksheets)

Related Worksheets

» Rounding and Estimating Money

» Decimals on a Number Line

» Estimating Decimals

» Rounding Whole Numbers

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Rounding Decimal Numbers

On these worksheets, students will round decimal numbers to the nearest tenth, hundredth,, thousandth, or nearest whole number. Most of the worksheets on this page are common core aligned.

Nearest Tenth

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Nearest Tenth, Hundredth, Whole Number (Mixed)

Rounding Decimals and rounding money are two skills that go hand-in-hand. Jump to this page for rounding money worksheets.

THis page has all different types and levels of rounding worksheets. Whether you're teaching students to round to the nearest ten, hundred, or thousand, we've got a nice selection for you to choose from.

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Rounding Various Decimals to Various Decimal Places (A)

Welcome to The Rounding Various Decimals to Various Decimal Places (A) Math Worksheet from the Decimals Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2014-12-06 and has been viewed 884 times this week and 1,860 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

Teacher s can use math worksheets as test s, practice assignment s or teaching tool s (for example in group work , for scaffolding or in a learning center ). Parent s can work with their children to give them extra practice , to help them learn a new math skill or to keep their skills fresh over school breaks . Student s can use math worksheets to master a math skill through practice, in a study group or for peer tutoring .

Use the buttons below to print, open, or download the PDF version of the Rounding Various Decimals to Various Decimal Places (A) math worksheet . The size of the PDF file is 21739 bytes . Preview images of the first and second (if there is one) pages are shown. If there are more versions of this worksheet, the other versions will be available below the preview images. For more like this, use the search bar to look for some or all of these keywords: math, decimals, rounding, whole, number, tenths, hundredths, thousandths .

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How to Round Decimals? (+FREE Worksheet!)

Want an explanation and example of how to round decimal numbers? Join us to learn and practice how to round decimals in a few simple steps.

Fractions whose denominator is \(10\) or \(100\) or \(1000\) or … are called decimal fractions.

Note:  In decimal numbers, the first digit after the decimal point is called the tenth, the second digit is the hundredth, the third digit is the thousandth, and so on.

Related Topics

• How to Add and Subtract Decimals
• How to Multiply and Divide Decimals
• How to Compare Decimals

Step-by-step guide to rounding decimals

• Numbers are the key to accessing calculations. However working with decimal numbers is more difficult than with integers. In particular, our minds are not prepared enough to work on decimal numbers, and it is easier to do calculations, even approximately, with the help of integers. To do this, before performing the calculations, we “round” the decimal numbers to quickly increase our calculations. Of course, by doing so, we have reduced the accuracy of the calculations. When we round a number, the value of the result is an integer that is very close to the original number and can be an alternative to calculations. In this way, results are easier to understand when exact values are not too important.
• ُ Step 1: First, you’ll need to remember your place values: For example: \(12.4568\) \(1\):tens, \(2\): ones, \(4\): tenths, \(5\): hundredths, \(6\): thousandths, \(8\): tens thousandths
• Step 2: To round a decimal, find the place value you’ll round to.
• Step 3: Find the digit to the right of the place value you’re rounding to. If it is \(5\) or bigger, add \(1\) to the place value you’re rounding to and remove all digits on its right side. If the digit to the right of the place value is less than \(5\), keep the place value and remove all digits on the right.

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Rounding decimals – example 1:.

Round \(1.9287\) to the thousandth place value.

First look at the next place value to the right, (ten thousandths). It’s \(7\) and it is greater than \(5\). Thus add \(1\) to the digit in the thousandth place. The thousandth place is \(8\). \(→ 8 \ + \ 1=9\), then, the answer is \(1.929\)

Rounding Decimals – Example 2:

Round \(9.4126\) to the nearest hundredth.

First, look at the next place value to the right of the hundredth place. It’s \(2\) and less than \(5\), thus removing all the digits to the right. Then, the answer is \(9.41\).

Rounding Decimals – Example 3:

Round \(2.1837\) to the tenth place value.

First look at the next place value to the right, (hundredth). It’s \(8\) and it is greater than \(5\). Thus add \(1\) to the digit in the tenth place. The tenth place is \(1\). \( → 1+1=2\), then, the answer is \(2.2\)

Rounding Decimals – Example 4:

\(2.1837\) rounded to the nearest hundredth.

First, look at the next place value to the right of the hundredth. It’s \(3\) and less than \(5\), thus removing all the digits to the right. Then, the answer is \(2.18\).

Exercises for Rounding Decimals

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Round each decimal number to the nearest place indicated..

• \(\color{blue}{0.\underline{2}3} \)
• \(\color{blue}{4.\underline{0}4} \)
• \(\color{blue}{5.\underline{6}23} \)
• \(\color{blue}{0.\underline{2}66} \)
• \(\color{blue}{116.\underline{5}14} \)
• \(\color{blue}{8.\underline{0}6} \)

Download Rounding Decimals Worksheet

• \(\color{blue}{0.2} \)
• \(\color{blue}{4 }\)
• \(\color{blue}{5.6} \)
• \(\color{blue}{0.3} \)
• \(\color{blue}{116.5}\)
• \(\color{blue}{8.1} \)

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Free Printable Rounding Decimals Worksheets for 5th Grade

Rounding Decimals: Discover a collection of free printable worksheets for Grade 5 Math teachers, designed to help students master the skill of rounding decimals with ease and confidence.

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Explore printable Rounding Decimals worksheets for 5th Grade

Rounding Decimals worksheets for Grade 5 are an essential resource for teachers who want to help their students master the concept of decimals and decimal place value. These worksheets provide a variety of exercises and activities that engage students in learning about decimals, their place values, and how to round them accurately. With a focus on Grade 5 Math curriculum, these worksheets are designed to reinforce the skills and knowledge students have acquired in previous grades, while also introducing new concepts and challenges. Teachers can use these worksheets as part of their lesson plans, homework assignments, or even as supplementary materials for students who need extra practice. By incorporating Rounding Decimals worksheets for Grade 5 into their teaching strategies, educators can ensure that their students have a strong foundation in decimals and decimal place value, setting them up for success in future math courses.

Quizizz is an excellent platform for teachers to create and share interactive worksheets, including those focused on rounding decimals and other math topics. With Quizizz, educators can easily design engaging and dynamic worksheets that not only test students' understanding of decimals and decimal place value but also provide instant feedback and track their progress. In addition to Rounding Decimals worksheets for Grade 5, Quizizz offers a wide range of other resources and tools that can help teachers enhance their math lessons and make learning more enjoyable for students. From customizable quizzes and games to detailed analytics and reports, Quizizz provides teachers with everything they need to effectively teach and assess their students' understanding of decimals and other Grade 5 Math concepts. By incorporating Quizizz into their teaching strategies, educators can ensure that their students are well-prepared for success in math and beyond.

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Rounding Numbers Worksheet Rounding Challenges

Welcome to our Rounding Numbers Worksheet collection of Rounding Challenges. Here you will find a wide range of free printable math Worksheets, which will help your child learn to apply their rounding knowledge to solve a variety of rounding challenges.

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Rounding Numbers Worksheets

Rounding challengs.

Here you will find a range of selection of printable rounding challenges to give your child practice and consolidation with their rounding work.

These sheets are carefully graded so that the easier sheets come first.

Each challenge consists of 4 clues and 8 possible answers, of which only one is correct.

Children have to look at the clues and use them to work out the correct answer.

These activities can be used individually with children working through the challenges on their own, but they are also great for partner work, and children discussing and sharing their ideas, and developing their mathematical language.

Each sheets comes with a separate printable answer sheet.

Using these sheets will help your child to:

• apply their rounding knowledge to solve problems;
• solve mathematical problems;
• develop children's vocabulary and understanding of the properties of numbers.

All the free Rounding challenges in this section support the Elementary Math Benchmarks.

Rounding Challenges to the nearest 10

• Rounding Challenges 1
• Rounding Challenges 1 Answers
• PDF version
• Rounding Challenges 2
• Rounding Challenges 2 Answers

Rounding Challenges to the nearest 10 & 100

• Rounding Challenges 3
• Rounding Challenges 3 Answers
• Rounding Challenges 4
• Rounding Challenges 4 Answers

Rounding Challenges to the nearest 10, 100 & 1000

• Rounding Challenges 5
• Rounding Challenges 5 Answers
• Rounding Challenges 6
• Rounding Challenges 6 Answers

Looking for something harder?

The rounding decimals challenges in this section involve rounding decimal numbers to the nearest whole, tenth or 2dp.

They are at a more challenging level than those on this page, and involve decimals.

• Rounding Decimals Worksheet Challenges

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Rounding Off Worksheet Generator

Here is our generator for generating your own rounding off numbers worksheets.

Our generator will create the following worksheets:

• rounding off to the nearest 10, 100, 1000 or 10000
• rounding to the nearest whole, to 1dp, or 2dp.
• rounding off to 1sf, 2sf or 3sf
• Rounding Off Numbers Worksheets

How to Round whole numbers

• learn to round numbers to the nearest 10, 100 or 1000.

Each of the webpages below comes with rounding help as well as practice worksheets.

• Rounding to the nearest 10 Worksheets
• Rounding to the nearest 100 worksheets
• Rounding to the nearest 1000 worksheets
• Rounding Decimals to the nearest whole

Online Rounding Practice Zone

In our Rounding Practice zone, you can practice rounding a range of numbers. You can round numbers to the nearest 10, 100 or even 1000. Want to round numbers to the nearest decimal place, you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Rounding Practice Zone

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Rounding Numbers

What is "rounding" .

Rounding means making a number simpler but keeping its value close to what it was.

The result is less accurate, but easier to use.

Example: 73 rounded to the nearest ten is 70 , because 73 is closer to 70 than to 80. But 76 goes up to 80.

Common Method

There are several different methods for rounding . Here we look at the common method , the one used by most people:

"5 or more rounds up"

First some examples (explanations follow):

How to Round Numbers

• Decide which is the last digit to keep
• Leave it the same if the next digit is less than 5 (this is called rounding down )
• But increase it by 1 if the next digit is 5 or more (this is called rounding up )

Example: Round 74 to the nearest 10

• We want to keep the "7" (it is in the 10s position)
• The next digit is "4" which is less than 5, so no change is needed to "7"

(74 gets "rounded down")

Example: Round 86 to the nearest 10

• We want to keep the "8"
• The next digit is "6" which is 5 or more, so increase the "8" by 1 to "9"

(86 gets "rounded up")

When the first digit removed is 5 or more, increase the last digit remaining by 1.

Why does 5 go up ?

5 is in the middle ... so we could go up or down. But we need a method that everyone agrees to.

Think about sport: we should have the same number of players on each team, right?

And that is the "common" method of rounding. Read about other methods of rounding .

A farmer counted 87 cows in the field, but when he rounded them up he had 90.

Rounding Decimals

First work out which number will be left when we finish.

• Rounding to tenths means to leave one number after the decimal point.
• Rounding to hundredths means to leave two numbers after the decimal point.

3.1416 rounded to hundredths is 3.14

as the next digit (1) is less than 5

3.1416 rounded to thousandths is 3.142

as the next digit (6) is more than 5

1.2735 rounded to tenths is 1.3

as the next digit (7) is 5 or more

To round to "so many decimal places" count that many digits from the decimal point:

1.2735 rounded to 3 decimal places is 1.274

as the next digit (5) is 5 or more

Rounding Whole Numbers

We may want to round to tens, hundreds, etc, In this case we replace the removed digits with zero.

134.9 rounded to tens is 130

as the next digit (4) is less than 5

12,690 rounded to thousands is 13,000

as the next digit (6) is 5 or more

15.239 rounded to ones is 15

as the next digit (2) is less than 5

Rounding to Significant Digits

To round to "so many" significant digits, count digits from left to right , and then round off from there.

1.239 rounded to 3 significant digits is 1.24

as the next digit (9) is 5 or more

134.9 rounded to 1 significant digit is 100

as the next digit (3) is less than 5

When there are leading zeros (such as 0.006), don't count them because they are only there to show how small the number is:

0.0165 rounded to 2 significant digits is 0.017

Significant digit calculator.

(Try increasing or decreasing the number of significant digits. Also try numbers with lots of zeros in front of them like 0.00314, 0.0000314 etc)

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Course: 5th grade   >   Unit 1

• Rounding decimals on the number line
• Round decimals using a number line
• Worked example: Rounding decimals to nearest tenth
• Round decimals

Understand decimal rounding

• Rounding decimals word problems
• Round decimals word problems
• Decimal place value: FAQ
• (Choice A)   752.36 ‍   A 752.36 ‍  
• (Choice B)   752.27 ‍   B 752.27 ‍  
• (Choice C)   752.32 ‍   C 752.32 ‍  

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15 Rounding Decimals Activities For Elementary Students: Ideas And Resources

February 6, 2024 //  by  Christina Swiontek

Do you find yourself using the same lessons year after year for rounding decimals? If your answer is “yes”, it may be time to look for some new and exciting math activities for your elementary students. Rounding decimals is an important skill for children to learn for estimating and making predictions. Students will need this for learning about the value of money, learning statistics, and higher-level math concepts as they progress through learning mathematics. Here are 15 fun activities to help them confidently cover rounding decimals! 

1. Rounding Decimals Song

The rounding decimals song is surely one that students will remember. This video resource includes visual examples while the song plays for both auditory and visual learners. I find this song to be very helpful for students to remember the rules of rounding decimals. 

Learn More: Math Songs by NUMBEROCK

2. Task Boxes

This is a fun hands-on game for learning how to round decimals. Students will use these task boxes to complete each challenge. I would recommend laminating the cards so students can mark the correct answer with dry-erase markers. 

Learn More: Carmen Brown

3. Sorting Decimals

This engaging game can be played in math learning centers or as a formative assessment in class. Students will sort the cards into groups based on the dollar amounts. For example, they will start with the card that says $8 and lists the closest amounts under it.

4. Rounding Decimals using a Number Line

Khan Academy is one of my go-to resources for teaching math. I would recommend using this for the upper elementary grades, including 4th and 5th-grade students. You will start with the video introduction and then allow students to complete the online practice problems. 

Learn More: Khan Academy

5. Roll and Round

For this rounding activity, students will work in partner pairs. The objective is to practice reading and writing numbers to the hundred thousand places. They will practice writing and rounding numbers to the hundred thousand. They will record the number they roll and which place they rounded to. 

Learn More: Teachers Pay Teachers

6. Rounding Decimals 3 in a Row

Students will have a blast with this fun activity. To prepare, you will need to laminate the game board and spinner. Put the spinner together using a bead, paperclip, and the instructions provided. Students will start by spinning a whole number and identifying the decimal that rounds to the number.

7. Worksheet Generator

This is a digital activity in which you can customize your own worksheet for rounding decimals. You can select the minimum and maximum number and click generate. Worksheets are simple activities you can enhance by incorporating competition.

Learn More: Soft Schools

8. Themed Task Cards

Lessontopia is a great resource for finding themed activities for rounding decimals and more. For these task cards, students will work together as a team to accomplish all of the fun tasks. You can incorporate this activity into centers, review games, or independent practice. 

Learn More: Amazon

9. Brain Pop

My 5th-grade students always enjoyed watching Tim and Moby from Brain Pop. These resources are very funny and entertaining for elementary students. You can pause the video and challenge students to come up with the correct answers before they are shared in the video. 

Learn More: Brain pop guy

10. Rocket Rounding

For this fun two-player game, you will need dice and printed game boards. Students will use the game board and roll the die to round the number. You can also have students record each turn so they can keep track while playing. What a fun decimal activity! 

Learn More: Pinterest

11. Shopping for Decimals

One way to motivate students to learn how to round decimals is by applying the content to back-to-school shopping. They will go on an imaginary shopping spree and be challenged with rounding decimals along the way. This is an excellent game that students will enjoy. 

Learn More: Education

12. Whiteboard Decimal Game

If your students have access to individual whiteboards, this could be the perfect game for rounding decimals. They will use the companion activity worksheets in pairs or small groups of students. They will draw a number line on a blank board and identify which whole number the decimal rounds to. 

Learn More: Mr. Elementary Math

13. Rounding Decimals Pirate Escape

Players will need to round to the nearest whole number, tenth, hundredth, and thousandth to be successful with this game. This resource includes an answer key so you can have students check their own work to see if they have right or wrong answers. 

14. Rounding Decimals Wheel

This is a fun game for children learning how to round decimals. This learning resource doubles as a foldable four-layer coloring activity. It also comes with an answer sheet. Once made, students will be able to interact with the wheel to practice rounding decimals.

Learn More: Common Core Matrial

15. Rounding Decimals Bingo 

Themed bingo is one of my favorite resource types. Rounding decimal bingo comes with 20 calling cards and pre-made cards for students. There are also blank bingo cards for students to make their own. You can use the digital version for online learning and the print version for classroom use. 

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KS2 Maths Rounding to decimal places worksheet

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

27 October 2014

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Rounding Decimals: A Step-by-Step Guide

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Basics on the topic Rounding Decimals

Welcome to our exciting journey into the world of rounding decimals! Here, we aim to simplify complex numbers, making them more manageable and understandable, by using rounding to different place value.

Rounding decimals is used in our daily lives very often - it helps when estimating money, measurements or distances - therefore, learning how to round is a valuable skill not only in but also outside of school.

Rounding decimals is about approximating, or estimating, a decimal to a certain place value.

Are you ready to become a rounding expert? Let’s jump in!

Understanding decimals is key to mastering how to round them. A decimal number represents an equal part of a whole, just like a fraction . If you're new to decimals or need a refresher, our video What is a Decimal? for 4th graders is a perfect starting place.

Rounding decimals is similar to rounding whole numbers. Brush up on this foundational skill by checking out Rounding Multi Digit Numbers for 4th graders.

Feeling confident? Let's proceed to the world of rounding decimals together!

When rounding decimals, it is important to follow a few simple rules:

It's approximating a decimal number to a specific place value.

The digit in the hundredth place.

When the determining digit is 5 or greater.

Let’s explore some examples. Imagine rounding the number 3.673 :

To the nearest tenth: Look at the hundredth place (7) . Since 7 > 5, round up to 3.7 .

To the nearest hundredth: Look at the thousandth place (3) . Since 3 < 5, round down to 3.67 .

Try rounding the number 9.736 to the nearest tenth.

The value of the digit in the hundredth place is 3.

Because 3 is less than 5, we will round the tenth down.

The rounded decimal to the nearest tenth is 9.7

Try rounding the number 9.736 to the nearest hundredth.

The value of the digit in the thousandth place is 6.

Because 6 is more than 5, we will round the hundredth up.

The rounded decimal to the nearest hundredth is 9.74

Now that you are familiar with rounding rules and have seen a couple of examples, let’s try to complete a couple of trickier rounding exercises.

3.78 rounded to the nearest whole number is 4.

6.53 rounded to the nearest tenth is 6.5.

2.849 rounded to the nearest hundredth is 2.85.

0.57 rounded to the nearest whole number is 1.

4.9400 rounded to the nearest tenth is 4.9.

The following decimals will round up to 3.4 when rounded to the nearest tenth: 3.35, 3.36, 3.37,3.38, 3.39. The following decimals will round down to 3.4 when rounded to the nearest tenth: 3.40, 3.41, 3.42, 3.43, 3.44

A decimal number represents an equal part of a whole, just like a fraction .

Rounding decimals is about approximating , or estimating, a decimal to a certain place value.

Rounding decimals is used in our daily lives very often - it helps when estimating money, measurements or distances.

Rounding to the nearest tenth : Look at the hundredth place. Round up if ≥ 5, otherwise round down.

Rounding to the nearest hundredth : Look at the thousandth place. Round up if ≥ 5, otherwise round down.

Rounding decimals is the process of simplifying a decimal number to a nearby value, typically to a specific decimal place.

We round decimals to simplify numbers for easier understanding and calculation, especially when an exact number isn't necessary.

The basic steps include identifying the target decimal place, looking at the digit right after it, and increasing the target digit if the next digit is 5 or more.

To round to the nearest tenth, look at the digit in the hundredth place. If it's 5 or more, increase the tenth place by 1. If it's less than 5, keep the tenth place the same.

To round to the nearest hundredth, focus on the digit in the thousandth place. Increase the hundredth place by 1 if this digit is 5 or more, otherwise, leave it as is.

Yes, a decimal can be rounded to the nearest whole number by looking at the digit in the tenths place and applying the usual rounding rules.

The digits after the rounding point are either replaced with zeros or removed, depending on whether you're rounding to a decimal place or a whole number.

No, rounding a decimal doesn't always increase the number. It depends on the value of the digit right after the rounding point.

Yes, rounding decimals is important in real life for estimations, budgeting, and when precision is not crucial.

Transcript Rounding Decimals

The day of the long-awaited concert is finally here for Luis and Kai! They have all the details of the journey planned out, but they want to estimate how far they're traveling so they are prepared. We can do this by rounding decimals. Rounding decimals is a process that is used to approximate a number to a specific place value. This is useful in math and when working with money, measurements, and distances to help you get a good estimate. Rounding decimals follows similar steps and rules to rounding whole numbers. First, identify the place value that you are rounding to. If we were rounding to the tenths place, we would start here. Then, look to the digit to the right. If the value of the digit to the right is less than five, keep the number the same. If the value of the digit to the right is five or more, round the number up to the next one. When you write the rounded decimal number, get rid of every digit to the right of the number you are rounding. You only do this when rounding in the decimal places. Luis and Kai are ready for our help now! Their first stop is the train station, which is seven and two thousand three hundred forty-five ten-thousandths of a mile away. Round this number to the hundredth place. Here, we identify the hundredth place, a three. Now look to the right of this value, which is a four. Since four is less than five, we round down, which means the three stays as it is. When we write the rounded decimal, we lose the four and five after the hundredth place, since we rounded to the hundredth place. Seven and two thousand three hundred forty-five ten-thousandths rounded to the hundredth place is seven and twenty-three hundredths! The train station is seven and twenty-three hundredths of a mile away. From the train station, the concert is thirty-five and eight hundred ninety-three thousandths of a mile away. Let's see if we can round this number to the nearest tenths place. Pause the video to solve the problem, and press play when you are ready for the solution. Identify the tenth place value, which is eight. Look to the value to the right, which is a nine. Nine is five and above, so we round up. Thirty-five and eight hundred ninety-three thousandths to the nearest tenth place is thirty-five and nine tenths. The concert is thirty-five and nine-tenths of a mile away. Before we check out the concert, let's wrap it up! To summarize, rounding decimals is a similar process to rounding whole numbers. Simply identify the place value you're rounding, and look at the digit to the right. If it's less than five, round down, and if it's five and above, round up, and then drop every digit after the place value you're rounding to. "This is the best concert ever, Luis!"

Rounding Decimals exercise

Approximately how far is it to the concert.

To round to the nearest tenth , look at the digit in the tenths place and then at the digit to the right.

If it is 4 or below , keep the value in the tenths place the same . If it is 5 or above , round up .

To round to the nearest hundredth , look at the digit in the hundredths place and then at the digit to the right.

If it is 4 or below , keep the value in the hundredths place the same . If it is 5 or above , round up .

Rounded to the nearest tenth: 17.9 miles

• Look at the digit in the tenths place, 9, then look at the digit to the right, 3, so we keep the value in the tenths place the same .
• Look at the digit in the hundredths place, 3, then look at the digit to the right, 7, so we round up .

Can you round these numbers to the nearest tenth?

Look at the number in the tenths place and then at the digit to the right.

If the digit to the right is 4 or below , keep the value in the tenths place the same .

If the digit to the right is 5 or above , round up .

For example, if we were round 3.583 to the nearest tenth , we would look at the digit in the tenths place which is 5 .

We would then look at the digit to the right which is 8 . This means we would round up .

3.583 rounded to the nearest tenth is 3.6 .

Here we can see the matching pairs.

• 21.234 rounded to the nearest tenth is 21.2
• 28.875 rounded to the nearest tenth is 28.9
• 21.438 rounded to the nearest tenth is 21.4
• 28.1023 rounded to the nearest tenth is 28.1

Can you round these decimals?

Remember, if the digit to the right of the digit you are rounding to is 4 or below , the digit you are rounding to stays the same .

If it is 5 or above , round up .

If you are rounding to the nearest tenth , there should be one digit to the right of the decimal point.

If you are rounding to the nearest hundredth , there should be two digits to the right of the decimal point.

Let's work through an example:

Round 1.3156 to the nearest hundredth .

We would round up because the digit to the right of the hundredth place is 5 or above .

The correct answer would be 1.32 .

1) Round 8.7493 to the nearest hundredth .

Correct answer: 8.75

2) Round 4.5932 to the nearest tenth .

Correct answer: 4.6

3) Round 17.6434 to the nearest hundredth .

Correct answer: 17.64

Round these decimals to the nearest hundredth.

When rounding to the nearest hundredth , look at the digit in the hundredths place and then at the digit to the right.

If the digit to the right is 4 or below , keep the number the same .

For example, in 12.6653, there is a 6 in the hundredths place and the number to the right is 5 . This means we round up .

Numbers that round to 12.34

To the nearest tenth, how far away is the party?

When rounding to the nearest tenth , look at the digit in the tenths place and then at the digit to the right.

If the digit to the right is 5 or above round up .

Here, the digit to the right is 8 , so we need to round up .

The correct answer has one digit to the right of the decimal point.

The correct answer is 2.5 miles .

When rounding 2.4832 to the nearest tenth, we look at the digit in the tenths place, 4 , and then at the digit to the right, 8 .

As 8 is 5 or above , we round up .

The journey to the theme park.

If the digit to the right of the digit you are rounding to is 4 or below , keep the value the same .

For example, 8.4784 miles rounded to the nearest tenth would be 8.5 miles. This is because there is a 4 in the tenths place and a 7 to the right of this. 7 is 5 or above so we round up .

8.4784 miles rounded to the nearest hundredth would be 8.48 miles. This is because there is a 7 in the hundredths place and an 8 to the right of this. 8 is 5 or above so we round up .

The car sets off from Kai's house to go to Luis' house 2.4376 miles away. Rounded to the nearest tenth, this is 2.4 miles away. They then continue to the service station which is 23.7845 miles from Luis' house. Rounded to the nearest hundredth, this is 23.78 miles.

From here, the theme park is 37.6578 miles. Rounded to the nearest tenth, this is 37.7 miles.

During the day, Kai and Luis walk 6.5598 miles around the park. Rounded to the nearest hundredth, this is 6.56 miles. They had a great day!

What is a Decimal?

Decimals Greater than 1 as Fractions

Decimals Greater than 1 as Fractions — Let's Practice!

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Rounding Decimals Worksheets | 5th Grade Homework

Also included in

Description

Decimal Rounding is an important skill that 4th and 5th grade students need to master. This no-prep, print and go rounding decimals packet is perfect for extra practice of this concept. Perfect for an entire week of math homework that isn't overwhelming for students!

Click HERE to SAVE 50% by buying the year-long 5th Grade Math Homework Bundle.

This resource includes 4 practice sheets for the skill of rounding decimal numbers. Each sheet has 9 practice problems for the skill and 3 spiral review problems at the bottom.

Please see the PREVIEW above for an idea of everything included!

Although the packet is designed to provide math homework , it can be used in other ways (see below). If you choose to use it as math homework, there is one sheet for each night of the week, Monday-Thursday. With 9 problems for each night, it will not be too time-consuming for the student, but will provide enough practice to solidify understanding of the skill.

While this packet was specifically designed to align with 5th grade standards, it is perfect for differentiation in 4th and 6th grades.

There are several other ways you can use this packet:

• Independent practice in class

• Pair and Share activity

• Small group work

• Extra remediation

• Cut apart the squares and use 1 problem as an exit ticket each day

• Test review and practice

• Quick quiz

• Informal assessment

• Guided math work as a whole group

• Early finisher work/bonus problems

Looking for other helpful math resources? Take a look here:

Rounding Decimals Math Mastery Worksheets

4th Grade Common Core Printable Math Packets

Math Task Card and Poster Sets

Number Patterns 4th Grade Common Core Math Worksheet Packet

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