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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Decimals Worksheets

Thanks for visiting the Decimals Worksheets page at Math-Drills.Com where we make a POINT of helping students learn. On this page, you will find Decimals worksheets on a variety of topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. To start, you will find the general use printables to be helpful in teaching the concepts of decimals and place value. More information on them is included just under the sub-title.

Further down the page, rounding, comparing and ordering decimals worksheets allow students to gain more comfort with decimals before they move on to performing operations with decimals. There are many operations with decimals worksheets throughout the page. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions.

Most Popular Decimals Worksheets this Week

Grids and Charts Useful for Learning Decimals

General use decimal printables are used in a variety of contexts and assist students in completing math questions related to decimals.

The thousandths grid is a useful tool in representing decimals. Each small rectangle represents a thousandth. Each square represents a hundredth. Each row or column represents a tenth. The entire grid represents one whole. The hundredths grid can be used to model percents or decimals. The decimal place value chart is a tool used with students who are first learning place value related to decimals or for those students who have difficulty with place value when working with decimals.

• Thousandths and Hundredths Grids Thousandths Grid Hundredths Grids ( 4 on a page) Hundredths Grids ( 9 on a page) Hundredths Grids ( 20 on a page)
• Decimal Place Value Charts Decimal Place Value Chart ( Ones to Hundredths ) Decimal Place Value Chart ( Ones to Thousandths ) Decimal Place Value Chart ( Hundreds to Hundredths ) Decimal Place Value Chart ( Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Millions to Millionths )

Decimals in Expanded Form

For students who have difficulty with expanded form, try familiarizing them with the decimal place value chart, and allow them to use it when converting standard form numbers to expanded form. There are actually five ways (two more than with integers) to write expanded form for decimals, and which one you use depends on your application or preference. Here is a quick summary of the various ways using the decimal number 1.23. 1. Expanded Form using decimals: 1 + 0.2 + 0.03 2. Expanded Form using fractions: 1 + 2 ⁄ 10 + 3 ⁄ 100 3. Expanded Factors Form using decimals: (1 × 1) + (2 × 0.1) + (3 × 0.01) 4. Expanded Factors Form using fractions: (1 × 1) + (2 × 1 ⁄ 10 ) + (3 × 1 ⁄ 100 ) 5. Expanded Exponential Form: (1 × 10 0 ) + (2 × 10 -1 ) + (3 × 10 -2 )

• Converting Decimals from Standard Form to Expanded Form Using Decimals Converting Decimals from Standard to Expanded Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 9 Decimal Places)
• Converting Decimals from Standard Form to Expanded Form Using Fractions Converting Decimals from Standard to Expanded Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 9 Decimal Places)
• Converting Decimals from Standard Form to Expanded Factors Form Using Decimals Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 9 Decimal Places)
• Converting Decimals from Standard Form to Expanded Factors Form Using Fractions Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 9 Decimal Places)
• Converting Decimals from Standard Form to Expanded Exponential Form Converting Decimals from Standard to Expanded Exponential Form ( 3 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 4 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 5 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 6 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 7 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 8 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 9 Decimal Places)
• Retro Converting Decimals from Standard Form to Expanded Form Retro Standard to Expanded Form (3 digits before decimal; 2 after) Retro Standard to Expanded Form (4 digits before decimal; 3 after) Retro Standard to Expanded Form (6 digits before decimal; 4 after) Retro Standard to Expanded Form (12 digits before decimal; 3 after)
• Retro European Format Converting Decimals from Standard Form to Expanded Form Standard to Expanded Form (3 digits before decimal; 2 after) Standard to Expanded Form (4 digits before decimal; 3 after) Standard to Expanded Form (6 digits before decimal; 4 after)

Of course, being able to convert numbers already in expanded form to standard form is also important. All five versions of decimal expanded form are included in these worksheets.

• Converting Decimals to Standard Form from Expanded Form Using Decimals Converting Decimals from Expanded Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 9 Decimal Places)
• Converting Decimals to Standard Form from Expanded Form Using Fractions Converting Decimals from Expanded Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 9 Decimal Places)
• Converting Decimals to Standard Form from Expanded Factors Form Using Decimals Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 9 Decimal Places)
• Converting Decimals to Standard Form from Expanded Factors Form Using Fractions Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 9 Decimal Places)
• Converting Decimals to Standard Form from Expanded Exponential Form Converting Decimals from Expanded Exponential Form to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 9 Decimal Places)
• Retro Converting Decimals to Standard Form from Expanded Form Retro Expanded to Standard Form (3 digits before decimal; 2 after) Retro Expanded to Standard Form (4 digits before decimal; 3 after) Retro Expanded to Standard Form (6 digits before decimal; 4 after) Retro Expanded to Standard Form (12 digits before decimal; 3 after)
• Retro European Format Converting Decimals to Standard Form from Expanded Form Retro European Format Expanded to Standard Form (3 digits before decimal; 2 after) Retro European Format Expanded to Standard Form (4 digits before decimal; 3 after) Retro European Format Expanded to Standard Form (6 digits before decimal; 4 after)

Rounding Decimals Worksheets

Rounding decimals is similar to rounding whole numbers; you have to know your place value! When learning about rounding, it is also useful to learn about truncating since it may help students to round properly. A simple strategy for rounding involves truncating, using the digits after the truncation to determine whether the new terminating digit remains the same or gets incremented, then taking action by incrementing if necessary and throwing away the rest. Here is a simple example: Round 4.567 to the nearest tenth. First, truncate the number after the tenths place 4.5|67. Next, look at the truncated part (67). Is it more than half way to 99 (i.e. 50 or more)? It is, so the decision will be to increment. Lastly, increment the tenths value by 1 to get 4.6. Of course, the situation gets a little more complicated if the terminating digit is a 9. In that case, some regrouping might be necessary. For example: Round 6.959 to the nearest tenth. Truncate: 6.9|59. Decide to increment since 59 is more than half way to 99. Incrementing results in the necessity to regroup the tenths into an extra one whole, so the result is 7.0. Watch that students do not write 6.10. You will want to correct them right away in that case. One last note: if there are three truncated digits then the question becomes is the number more than half way to 999. Likewise, for one digit; is the number more than half way to 9. And so on...

We should also mention that in some scientific and mathematical "circles," rounding is slightly different "on a 5". For example, most people would round up on a 5 such as: 6.5 --> 7; 3.555 --> 3.56; 0.60500 --> 0.61; etc. A different way to round on a 5, however, is to round to the nearest even number, so 5.5 would be rounded up to 6, but 8.5 would be rounded down to 8. The main reason for this is not to skew the results of a large number of rounding events. If you always round up on a 5, on average, you will have slightly higher results than you should. Because most pre-college students round up on a 5, that is what we have done in the worksheets that follow.

• Rounding Decimals to Whole Numbers Round Tenths to a Whole Number Round Hundredths to a Whole Number Round Thousandths to a Whole Number Round Ten Thousandths to a Whole Number Round Various Decimals to a Whole Number
• Rounding Decimals to Tenths Round Hundredths to Tenths Round Thousandths to Tenths Round Ten Thousandths to Tenths Round Various Decimals to Tenths
• Rounding Decimals to Hundredths Round Thousandths to Hundredths Round Ten Thousandths to Hundredths Round Various Decimals to Hundredths
• Rounding Decimals to Thousandths Round Ten Thousandths to Thousandths
• Rounding Decimals to Various Decimal Places Round Hundredths to Various Decimal Places Round Thousandths to Various Decimal Places Round Ten Thousandths to Various Decimal Places Round Various Decimals to Various Decimal Places
• European Format Rounding Decimals to Whole Numbers European Format Round Tenths to a Whole Number European Format Round Hundredths to a Whole Number European Format Round Thousandths to a Whole Number European Format Round Ten Thousandths to Whole Number
• European Format Rounding Decimals to Tenths European Format Round Hundredths to Tenths European Format Round Thousandths to Tenths European Format Round Ten Thousandths to Tenths
• European Format Rounding Decimals to Hundredths European Format Round Thousandths to Hundredths European Format Round Ten Thousandths to Hundredths
• European Format Rounding Decimals to Thousandths European Format Round Ten Thousandths to Thousandths

Comparing and Ordering/Sorting Decimals Worksheets.

The comparing decimals worksheets have students compare pairs of numbers and the ordering decimals worksheets have students compare a list of numbers by sorting them.

Students who have mastered comparing whole numbers should find comparing decimals to be fairly easy. The easiest strategy is to compare the numbers before the decimal (the whole number part) first and only compare the decimal parts if the whole number parts are equal. These sorts of questions allow teachers/parents to get a good idea of whether students have grasped the concept of decimals or not. For example, if a student thinks that 4.93 is greater than 8.7, then they might need a little more instruction in place value. Close numbers means that some care was taken to make the numbers look similar. For example, they could be close in value, e.g. 3.3. and 3.4 or one of the digits might be changed as in 5.86 and 6.86.

• Comparing Decimals up to Tenths Comparing Decimals up to Tenths ( Both Numbers Random ) Comparing Decimals up to Tenths ( One Digit Differs ) Comparing Decimals up to Tenths ( Both Numbers Close in Value ) Comparing Decimals up to Tenths ( Various Tricks )
• Comparing Decimals up to Hundredths Comparing Decimals up to Hundredths ( Both Numbers Random ) Comparing Decimals up to Hundredths ( One Digit Differs ) Comparing Decimals up to Hundredths ( Two Digits Swapped ) Comparing Decimals up to Hundredths ( Both Numbers Close in Value ) Comparing Decimals up to Hundredths ( One Number has an Extra Digit ) Comparing Decimals up to Hundredths ( Various Tricks )
• Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths ( One Digit Differs ) Comparing Decimals up to Thousandths ( Two Digits Swapped ) Comparing Decimals up to Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Thousandths ( Various Tricks )
• Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths ( One Digit Differs ) Comparing Decimals up to Ten Thousandths ( Two Digits Swapped ) Comparing Decimals up to Ten Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Ten Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Ten Thousandths ( Various Tricks )
• Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths ( One Digit Differs ) Comparing Decimals up to Hundred Thousandths ( Two Digits Swapped ) Comparing Decimals up to Hundred Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Hundred Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Hundred Thousandths ( Various Tricks )
• European Format Comparing Decimals European Format Comparing Decimals up to Tenths European Format Comparing Decimals up to Tenths (tight) European Format Comparing Decimals up to Hundredths European Format Comparing Decimals up to Hundredths (tight) European Format Comparing Decimals up to Thousandths European Format Comparing Decimals up to Thousandths (tight)

Ordering decimals is very much like comparing decimals except there are more than two numbers. Generally, students determine the least (or greatest) decimal to start, cross it off the list then repeat the process to find the next lowest/greatest until they get to the last number. Checking the list at the end is always a good idea.

• Ordering/Sorting Decimals Ordering/Sorting Decimal Hundredths Ordering/Sorting Decimal Thousandths
• European Format Ordering/Sorting Decimals European Format Ordering/Sorting Decimal Tenths (8 per set) European Format Ordering/Sorting Decimal Hundredths (8 per set) European Format Ordering/Sorting Decimal Thousandths (8 per set) European Format Ordering/Sorting Decimal Ten Thousandths (8 per set) European Format Ordering/Sorting Decimals with Various Decimal Places(8 per set)

Converting Decimals to Fractions and Other Number Formats

There are many good reasons for converting decimals to other number formats. Dealing with a fraction in arithmetic is often easier than the equivalent decimal. Consider 0.333... which is equivalent to 1/3. Multiplying 300 by 0.333... is difficult, but multiplying 300 by 1/3 is super easy! Students should be familiar with some of the more common fraction/decimal conversions, so they can switch back and forth as needed.

• Converting Between Decimals and Fractions Converting Fractions to Terminating Decimals Converting Fractions to Terminating and Repeating Decimals Converting Terminating Decimals to Fractions Converting Terminating and Repeating Decimals to Fractions Converting Fractions to Hundredths
• Converting Between Decimals, Fraction, Percents and Ratios Converting Fractions to Decimals, Percents and Part-to-Part Ratios Converting Fractions to Decimals, Percents and Part-to-Whole Ratios Converting Decimals to Fractions, Percents and Part-to-Part Ratios Converting Decimals to Fractions, Percents and Part-to-Whole Ratios Converting Percents to Fractions, Decimals and Part-to-Part Ratios Converting Percents to Fractions, Decimals and Part-to-Whole Ratios Converting Part-to-Part Ratios to Fractions, Decimals and Percents Converting Part-to-Whole Ratios to Fractions, Decimals and Percents Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios with 7ths and 11ths Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios with 7ths and 11ths

Adding and Subtracting Decimals

Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. In the example, 3.25 + 4.98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 8.23)

• Adding Tenths Adding Decimal Tenths with 0 Before the Decimal (range 0.1 to 0.9) Adding Decimal Tenths with 1 Digit Before the Decimal (range 1.1 to 9.9) Adding Decimal Tenths with 2 Digits Before the Decimal (range 10.1 to 99.9)
• Adding Hundredths Adding Decimal Hundredths with 0 Before the Decimal (range 0.01 to 0.99) Adding Decimal Hundredths with 1 Digit Before the Decimal (range 1.01 to 9.99) Adding Decimal Hundredths with 2 Digits Before the Decimal (range 10.01 to 99.99)
• Adding Thousandths Adding Decimal Thousandths with 0 Before the Decimal (range 0.001 to 0.999) Adding Decimal Thousandths with 1 Digit Before the Decimal (range 1.001 to 9.999) Adding Decimal Thousandths with 2 Digits Before the Decimal (range 10.001 to 99.999)
• Adding Ten Thousandths Adding Decimal Ten Thousandths with 0 Before the Decimal (range 0.0001 to 0.9999) Adding Decimal Ten Thousandths with 1 Digit Before the Decimal (range 1.0001 to 9.9999) Adding Decimal Ten Thousandths with 2 Digits Before the Decimal (range 10.0001 to 99.9999)
• Adding Various Decimal Places Adding Various Decimal Places with 0 Before the Decimal Adding Various Decimal Places with 1 Digit Before the Decimal Adding Various Decimal Places with 2 Digits Before the Decimal Adding Various Decimal Places with Various Numbers of Digits Before the Decimal
• European Format Adding Decimals European Format Adding decimal tenths with 0 before the decimal (range 0,1 to 0,9) European Format Adding decimal tenths with 1 digit before the decimal (range 1,1 to 9,9) European Format Adding decimal hundredths with 0 before the decimal (range 0,01 to 0,99) European Format Adding decimal hundredths with 1 digit before the decimal (range 1,01 to 9,99) European Format Adding decimal thousandths with 0 before the decimal (range 0,001 to 0,999) European Format Adding decimal thousandths with 1 digit before the decimal (range 1,001 to 9,999) European Format Adding decimal ten thousandths with 0 before the decimal (range 0,0001 to 0,9999) European Format Adding decimal ten thousandths with 1 digit before the decimal (range 1,0001 to 9,9999) European Format Adding mixed decimals with Various Decimal Places European Format Adding mixed decimals with Various Decimal Places (1 to 9 before decimal)

Base ten blocks can be used for decimal subtraction. Just redefine the blocks, so the big block is a one, the flat is a tenth, the rod is a hundredth and the little cube is a thousandth. Model and subtract decimals using base ten blocks, so students can "see" how decimals really work.

• Subtracting Tenths Subtracting Decimal Tenths with No Integer Part Subtracting Decimal Tenths with an Integer Part in the Minuend Subtracting Decimal Tenths with an Integer Part in the Minuend and Subtrahend
• Subtracting Hundredths Subtracting Decimal Hundredths with No Integer Part Subtracting Decimal Hundredths with an Integer Part in the Minuend and Subtrahend Subtracting Decimal Hundredths with a Larger Integer Part in the Minuend
• Subtracting Thousandths Subtracting Decimal Thousandths with No Integer Part Subtracting Decimal Thousandths with an Integer Part in the Minuend and Subtrahend
• Subtracting Ten Thousandths Subtracting Decimal Ten Thousandths with No Integer Part Subtracting Decimal Ten Thousandths with an Integer Part in the Minuend and Subtrahend
• Subtracting Various Decimal Places Subtracting Various Decimals to Hundredths Subtracting Various Decimals to Thousandths Subtracting Various Decimals to Ten Thousandths
• European Format Subtracting Decimals European Format Decimal subtraction (range 0,1 to 0,9) European Format Decimal subtraction (range 1,1 to 9,9) European Format Decimal subtraction (range 0,01 to 0,99) European Format Decimal subtraction (range 1,01 to 9,99) European Format Decimal subtraction (range 0,001 to 0,999) European Format Decimal subtraction (range 1,001 to 9,999) European Format Decimal subtraction (range 0,0001 to 0,9999) European Format Decimal subtraction (range 1,0001 to 9,9999) European Format Decimal subtraction with Various Decimal Places European Format Decimal subtraction with Various Decimal Places (1 to 9 before decimal)

Adding and subtracting decimals is fairly straightforward when all the decimals are lined up. With the questions arranged horizontally, students are challenged to understand place value as it relates to decimals. A wonderful strategy for placing the decimal is to use estimation. For example if the question is 49.2 + 20.1, the answer without the decimal is 693. Estimate by rounding 49.2 to 50 and 20.1 to 20. 50 + 20 = 70. The decimal in 693 must be placed between the 9 and the 3 as in 69.3 to make the number close to the estimate of 70.

The above strategy will go a long way in students understanding operations with decimals, but it is also important that they have a strong foundation in place value and a proficiency with efficient strategies to be completely successful with these questions. As with any math skill, it is not wise to present this to students until they have the necessary prerequisite skills and knowledge.

• Horizontally Arranged Adding Decimals Adding Decimals to Tenths Horizontally Adding Decimals to Hundredths Horizontally Adding Decimals to Thousandths Horizontally Adding Decimals to Ten Thousandths Horizontally Adding Decimals Horizontally With Up to Two Places Before and After the Decimal Adding Decimals Horizontally With Up to Three Places Before and After the Decimal Adding Decimals Horizontally With Up to Four Places Before and After the Decimal
• Horizontally Arranged Subtracting Decimals Subtracting Decimals to Tenths Horizontally Subtracting Decimals to Hundredths Horizontally Subtracting Decimals to Thousandths Horizontally Subtracting Decimals to Ten Thousandths Horizontally Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal
• Horizontally Arranged Mixed Adding and Subtracting Decimals Adding and Subtracting Decimals to Tenths Horizontally Adding and Subtracting Decimals to Hundredths Horizontally Adding and Subtracting Decimals to Thousandths Horizontally Adding and Subtracting Decimals to Ten Thousandths Horizontally Adding and Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal

Multiplying and Dividing Decimals

Multiplying decimals by whole numbers is very much like multiplying whole numbers except there is a decimal to deal with. Although students might initially have trouble with it, through the power of rounding and estimating, they can generally get it quite quickly. Many teachers will tell students to ignore the decimal and multiply the numbers just like they would whole numbers. This is a good strategy to use. Figuring out where the decimal goes at the end can be accomplished by counting how many decimal places were in the original question and giving the answer that many decimal places. To better understand this method, students can round the two factors and multiply in their head to get an estimate then place the decimal based on their estimate. For example, multiplying 9.84 × 91, students could first round the numbers to 10 and 91 (keep 91 since multiplying by 10 is easy) then get an estimate of 910. Actually multiplying (ignoring the decimal) gets you 89544. To get that number close to 910, the decimal needs to go between the 5 and the 4, thus 895.44. Note that there are two decimal places in the factors and two decimal places in the answer, but estimating made it more understandable rather than just a method.

• Multiplying Decimals by 1-Digit Whole Numbers Multiply 2-digit tenths by 1-digit whole numbers Multiply 2-digit hundredths by 1-digit whole numbers Multiply 2-digit thousandths by 1-digit whole numbers Multiply 3-digit tenths by 1-digit whole numbers Multiply 3-digit hundredths by 1-digit whole numbers Multiply 3-digit thousandths by 1-digit whole numbers Multiply various decimals by 1-digit whole numbers
• Multiplying Decimals by 2-Digit Whole Numbers Multiplying 2-digit tenths by 2-digit whole numbers Multiplying 2-digit hundredths by 2-digit whole numbers Multiplying 3-digit tenths by 2-digit whole numbers Multiplying 3-digit hundredths by 2-digit whole numbers Multiplying 3-digit thousandths by 2-digit whole numbers Multiplying various decimals by 2-digit whole numbers
• Multiplying Decimals by Tenths Multiplying 2-digit whole by 2-digit tenths Multiplying 2-digit tenths by 2-digit tenths Multiplying 2-digit hundredths by 2-digit tenths Multiplying 3-digit whole by 2-digit tenths Multiplying 3-digit tenths by 2-digit tenths Multiplying 3-digit hundredths by 2-digit tenths Multiplying 3-digit thousandths by 2-digit tenths Multiplying various decimals by 2-digit tenths
• Multiplying Decimals by Hundredths Multiplying 2-digit whole by 2-digit hundredths Multiplying 2-digit tenths by 2-digit hundredths Multiplying 2-digit hundredths by 2-digit hundredths Multiplying 3-digit whole by 2-digit hundredths Multiplying 3-digit tenths by 2-digit hundredths Multiplying 3-digit hundredths by 2-digit hundredths Multiplying 3-digit thousandths by 2-digit hundredths Multiplying various decimals by 2-digit hundredths
• Multiplying Decimals by Various Decimal Places Multiplying 2-digit by 2-digit numbers with various decimal places Multiplying 3-digit by 2-digit numbers with various decimal places
• Decimal Long Multiplication in Various Ranges Decimal Multiplication (range 0.1 to 0.9) Decimal Multiplication (range 1.1 to 9.9) Decimal Multiplication (range 10.1 to 99.9) Decimal Multiplication (range 0.01 to 0.99) Decimal Multiplication (range 1.01 to 9.99) Decimal Multiplication (range 10.01 to 99.99) Random # Digits Random # Places
• European Format Multiplying Decimals by 2-Digit Whole Numbers European Format 2-digit whole × 2-digit hundredths European Format 2-digit tenths × 2-digit whole European Format 2-digit hundredths × 2-digit whole European Format 3-digit tenths × 2-digit whole European Format 3-digit hundredths × 2-digit whole European Format 3-digit thousandths × 2-digit whole
• European Format Multiplying Decimals by 2-Digit Tenths European Format 2-digit whole × 2-digit tenths European Format 2-digit tenths × 2-digit tenths European Format 2-digit hundredths × 2-digit tenths European Format 3-digit whole × 2-digit tenths European Format 3-digit tenths × 2-digit tenths European Format 3-digit hundredths × 2-digit tenths European Format 3-digit thousandths × 2-digit tenths
• European Format Multiplying Decimals by 2-Digit Hundredths European Format 2-digit tenths × 2-digit hundredths European Format 2-digit hundredths × 2-digit hundredths European Format 3-digit whole × 2-digit hundredths European Format 3-digit tenths × 2-digit hundredths European Format 3-digit hundredths × 2-digit hundredths European Format 3-digit thousandths × 2-digit hundredths
• European Format Multiplying Decimals by Various Decimal Places European Format 2-digit × 2-digit with various decimal places European Format 3-digit × 2-digit with various decimal places
• Dividing Decimals by Whole Numbers Divide Tenths by a Whole Number Divide Hundredths by a Whole Number Divide Thousandths by a Whole Number Divide Ten Thousandths by a Whole Number Divide Various Decimals by a Whole Number

In case you aren't familiar with dividing with a decimal divisor, the general method for completing questions is by getting rid of the decimal in the divisor. This is done by multiplying the divisor and the dividend by the same amount, usually a power of ten such as 10, 100 or 1000. For example, if the division question is 5.32/5.6, you would multiply the divisor and dividend by 10 to get the equivalent division problem, 53.2/56. Completing this division will result in the exact same quotient as the original (try it on your calculator if you don't believe us). The main reason for completing decimal division in this way is to get the decimal in the correct location when using the U.S. long division algorithm.

A much simpler strategy, in our opinion, is to initially ignore the decimals all together and use estimation to place the decimal in the quotient. In the same example as above, you would complete 532/56 = 95. If you "flexibly" round the original, you will get about 5/5 which is about 1, so the decimal in 95 must be placed to make 95 close to 1. In this case, you would place it just before the 9 to get 0.95. Combining this strategy with the one above can also help a great deal with more difficult questions. For example, 4.584184 ÷ 0.461 can first be converted the to equivalent: 4584.184 ÷ 461 (you can estimate the quotient to be around 10). Complete the division question without decimals: 4584184 ÷ 461 = 9944 then place the decimal, so that 9944 is about 10. This results in 9.944.

Dividing decimal numbers doesn't have to be too difficult, especially with the worksheets below where the decimals work out nicely. To make these worksheets, we randomly generated a divisor and a quotient first, then multiplied them together to get the dividend. Of course, you will see the quotients only on the answer page, but generating questions in this way makes every decimal division problem work out nicely.

• Decimal Long Division with Quotients That Work Out Nicely Dividing Decimals by Various Decimals with Various Sizes of Quotients Dividing Decimals by 1-Digit Tenths (e.g. 0.72 ÷ 0.8 = 0.9) Dividing Decimals by 1-Digit Tenths with Larger Quotients (e.g. 3.2 ÷ 0.5 = 6.4) Dividing Decimals by 2-Digit Tenths (e.g. 10.75 ÷ 2.5 = 4.3) Dividing Decimals by 2-Digit Tenths with Larger Quotients (e.g. 387.75 ÷ 4.7 = 82.5) Dividing Decimals by 3-Digit Tenths (e.g. 1349.46 ÷ 23.8 = 56.7) Dividing Decimals by 2-Digit Hundredths (e.g. 0.4368 ÷ 0.56 = 0.78) Dividing Decimals by 2-Digit Hundredths with Larger Quotients (e.g. 1.7277 ÷ 0.39 = 4.43) Dividing Decimals by 3-Digit Hundredths (e.g. 31.4863 ÷ 4.61 = 6.83) Dividing Decimals by 4-Digit Hundredths (e.g. 7628.1285 ÷ 99.91 = 76.35) Dividing Decimals by 3-Digit Thousandths (e.g. 0.076504 ÷ 0.292 = 0.262) Dividing Decimals by 3-Digit Thousandths with Larger Quotients (e.g. 2.875669 ÷ 0.551 = 5.219)

These worksheets would probably be used for estimating and calculator work.

• Horizontally Arranged Decimal Division Random # Digits Random # Places
• European Format Dividing Decimals with Quotients That Work Out Nicely European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number

In the next set of questions, the quotient does not always work out well and may have repeating decimals. The answer key shows a rounded quotient in these cases.

• European Format Dividing Decimals by Whole Numbers European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number
• European Format Dividing Decimals by Decimals European Format Decimal Tenth (0,1 to 9,9) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Hundredth (0,01 to 9,99) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Thousandth (0,001 to 9,999) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Ten Thousandth (0,0001 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Various Decimal Places (1,1 to 9,9999)

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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.

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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 to Decimal Places: Worksheets with Answers

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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

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Video transcript

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.

Explore Rounding Decimals Worksheets by Grades

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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.

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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Rounding Worksheets

Rounding worksheets for grades 1-5.

Our rounding worksheets provide practice in rounding numbers to different place values (nearest ten, nearest 100, ...). In later grades the exercises are similar, but with larger numbers.

Choose your grade / topic:

Grade 1: Rounding worksheets

Grade 2: Rounding worksheets

Grade 3: Rounding worksheets  

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Grade 5: Rounding worksheets

Topics include:

Grade 1 rounding worksheets

• Rounding numbers to the nearest 10

Grade 2 rounding worksheets

• Rounding numbers to the nearest 10 within 0-100
• Rounding numbers to the nearest 10 within 0-1,000
• Rounding numbers to the nearest 100 within 0-1,000
• Rounding numbers to the nearest 10 or 100 within 0-1,000

Grade 3 rounding worksheets

• Rounding numbers to the nearest 100 within 0-10,000
• Mixed rounding - round to the underlined digit (10's, 100's)
• Mixed rounding - round to the underlined digit (10's, 100's, 1000's)

Grade 4 rounding worksheets

• Rounding numbers to the nearest 1,000 within 0-10,000
• Rounding numbers to the nearest 10,000 within 0-1,000,000
• Mixed rounding - round to the underlined digit
• Estimating and rounding word problems

Grade 5 rounding worksheets

• Rounding numbers to the nearest 10 within 0-10,000
• Rounding numbers to the nearest 100 within 0-1,000,000
• Rounding numbers to the nearest 1,000 within 0-1,000,000
• Mixed rounding - round to the underlined digit (up to nearest million)

Related topics

Place value worksheets

Sample Rounding Worksheet

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5.6: Fundamentals 6 - Rounding

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LEARNING GOALS

By the end of this lesson, you should understand

• The purpose of rounding numbers.

By the end of this lesson, you should be able to

• Round whole numbers and decimals to a specified place value.

FUNDAMENTALS OF THE LESSON

Rounding is a key and necessary skill in mathematics, as calculations often result in decimal numbers that have many digits before and after the decimal point. To round effectively, you must consider the context (or purpose) of the calculation. This will help you identify the appropriate number of decimal places to round to.

1. Let’s begin by identifying digits within numbers that are in specific decimal places.

A. 547 Determine the digit in the hundreds place.

B. 476,542 Determine the digit in the thousands place.

C. 26,573,000,000 Determine the digit in the billions place.

D. 782,956,400 Determine the digit in the hundreds thousands place.

E. 372.84 Determine the digit in the tens place.

F. 17.435 Determine the digit in the tenths place.

G. 3.1459 Determine the digit in the hundredths place.

H. 0.03468 Determine the digit in the thousandths place.

2. Given the numbers below, identify the decimal place that each digit of the number is in.

A. The number 2,154,900 is shown in the table below. Write the place values that correspond to each digit. For example, 9 is in the hundreds place, so write Hundreds into the box below the 9 digit.

B. The number 76.5438 is shown in the table below. Write the place values that correspond to each digit.

Rounding with the Number Line

Brianna and Rosa live in New York State and are thinking about moving to Ohio. In looking at the two states spending on education, Brianna found that New York was planning to spend $13.1 billion in 2018. Rosa found that Ohio is planning to spend $10,682,738,002. They found it difficult to compare those two numbers so they decided to round them both to the nearest billion.

3. A. Place 13.1 billion on the number line below:

B. Which billion marker is 13.1 billion nearest to?

C. We can now say that 13.1 billion rounded to the nearest billion is ____________ billion.

D. Now place $10,682,738,002 on the number line below:

E. Which billion marker is $10,682,738,002 nearest to?

F. We can now say that $10,682,738,002 rounded to the nearest billion is ____________ billion.

G. Now compare the two states’ spending on education, using your prior answers.

The number line is helpful for rounding numbers. However, it would be useful to have a way to round without having to draw the line. Complete the following examples and then come up with a rule that you can use to round without using the number line.

4. A. Round 3,721,900 to the nearest million. The location of 3,271,900 is displayed on the number line below.

3,721,900 rounded to the nearest million is __________________________________

B. Round 582,478 to the nearest thousand. The location of 582,478 is displayed on the number line below.

582,478 rounded to the nearest thousand is __________________________________

C. What is a rule (strategy) for rounding a number to a specific decimal place that does not involve using the number line? Check that the strategy works for questions 4A and 4B.

5. Let’s see if the rule you identified works for rounding to places less than one (tenths, hundredths, etc). Jorge is going to Mexico and uses a website to find out that 1 Mexican peso = 0.0548521 US dollars. He wants to round that to the hundredths place (cents).

B. 0.0548521 rounded to the nearest hundredths is __________________________

6. Jorge’s friend suggests an additional trip into Belize. Jorge finds that 1 Belizean dollar = 0.0496315 US dollars. Jorge uses the number line to round 0.0496315 to the hundredths place:

A. Using the number line, which number, rounded to the nearest hundredth, is 0.0496315 nearest to? ________________________

B. 0.0496315 rounded to the nearest hundredths is __________________________

C. Does your rule from Question 4 work with decimal places also? Do you need to change the way you worded it? If so, write the new rule below.

7. Use the general rule of rounding to round the numbers below.

A. Round 23,495,000 to the nearest million: _______________________

B. Round 5,890 to the nearest thousand: ___________________________

C. Round 5.728 to the nearest hundredth (this is also called “rounding to two decimal places” ) ______________________________

D. Round 0.7236 to the nearest tenth (this is also called “rounding to one decimal place”) _________________________________

E. Round 5.6666666 to one decimal place: _______________________________

F. Round 7.3449 to two decimal places: __________________________________

FURTHER APPLICATIONS

When performing calculations, you sometimes have to determine on your own the number of decimal places to round to. To do so, you can use the situation to help you make this decision. For example, if you are determining the number of people you want to invite to a party, the number you get should be a whole number. It would not make sense to invite 6.73 people to a party. Sometimes you can round a solution to a problem based on how the numbers that you were given in the problem were rounded.

8. For each problem below, think about the situation, and then round the numbers as you deem appropriate.

A. Maya is selling T-shirts with her own designs. She buys 70 plain T-shirts for $400. How much did each one cost her?

B. Remember that Ohio was planning to spend about $11 billion ($11,000,000,000) on education. Ohio has 1,729,916 children in its public schools. About how much are they planning to spend on each child? Round to the nearest dollar.

C. A school district has 5,942 students. The district’s budget for school lunches is $16,950. How much money are they spending per student?

9. Julius is trying to find out which is smaller: \(\dfrac{1}{13}\) or \(\dfrac{2}{27}\). One way to do this is to change both fractions to decimals.Use your calculator to divide the numerator (top number) by the denominator (bottom number). Do this for both fractions. Which fraction, \(\dfrac{1}{13}\) or \(\dfrac{2}{27}\), is smaller?

Questions: Rounding

1. Round 78,381,818 to the nearest million.

2. Round 650,414 to the nearest hundred thousand.

3. Round 46.276 to the nearest tenth.

4. Round 1.333333333 to one decimal place.

5. Round 0.03626 to two decimal places.

6. Round 51.812% to the nearest tenth of a percent.

7. Round 19.59% to the nearest percent.

8. In a recent year, Americans owed approximately $1,510,290,000,000 in student loan debt, spread out among about 44 million borrowers. Round $1,510,290,000,000 to the nearest hundred billion.

9. Many college students graduate college with student loan debt. One student owed $32,056 in student loan debt. Round $32,056 to the nearest thousand.

10. Sarah’s student loan debt increased by 5.3106% from 2016 to 2017. Round 5.3106% to the nearest tenth of a percent.

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Decimal Worksheets Hub Page

Welcome to our Decimal Worksheets area.

On this page, there are links to all of our decimal math worksheets, including decimal place value, decimal money worksheets and our adding, subtracting, multiplying and dividing decimals pages.

We also have some decimal resources including decimal place value charts to support teaching and learning of decimals.

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Decimal Worksheets

On this page you will find link to our range of decimal math worksheets.

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• Decimal Place Value Charts

Decimal Place Value Worksheets

Rounding decimals.

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Decimal Addition

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Converting Decimals

These decimal place value charts are designed to help children understand decimal place value.

They are especially useful in learning how to multiply and divide decimals by 10 or 100.

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Here you will find our selection of Place Value involving Decimals with up to 2 decimal places (2dp).

Using these sheets will help your child learn to:

• learn their place value with decimals up to 3dp;
• understand the value of each digit in a decimal number;
• learn to read and write numbers with up to 3dp.
• Decimal Place Value Worksheets to 2dp
• Decimal Place Value to 3dp
• Ordering Decimals Worksheets
• Decimal Number Line Worksheets
• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• finding number bonds to 1 with numbers to 1dp, 2dp or 3dp.
• Counting By Decimals
• Decimal Number Bonds to 1
• Decimal Money Column Addition 4th Grade
• Decimal Column Addition 5th Grade

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Decimal Subtraction Worksheets

• Money Subtraction Worksheets ($)
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Decimal Multiplication Worksheets

These sheets are designed for 4th and 5th graders.

• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)

These sheets are designed for 5th graders to develop mental multiplication skills.

• Multiplying Decimals by Whole Numbers
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Decimal Division Worksheets

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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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