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verb as in turn; encircle

Strongest match

Strong matches

  • circumnavigate

Weak matches

verb as in make curved; remove angles

Strongest matches

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Example sentences.

In her findings, 63 percent of temperature samples were biased by this double-rounding.

Scrapping the quail research might score some easy political points, but it was a rounding error on these agencies’ budgets.

Still, Microsoft sees a lot, so any difference with actual numbers is likely a rounding error.

At Trilogy, the work of leaders includes investing in employees’ growth and continuing the “rounding” that has long kept executives close to what’s happening at the front lines.

If we don’t do something to offset the damage to our retirement system, today’s problems could end up looking like a rounding error compared to what the future holds.

Democrats were working hard to pass a budget in a divided government, and Yee was charged in part with rounding up the votes.

And what could be more honorable than rounding up your besties to pay homage to a hallowed pop deity?

The White House has been rounding up senators to vouch for her.

Rounding out the Big Three, GM was also up 15 percent year over year.

By August we were rounding up any young man we found, whether we were looking for him or not.

On rounding a point a few minutes after, he was again arrested by a scene which, while it charmed, amazed him.

In rounding Point Bradley, there is a rocky shelf that runs off the point for perhaps one hundred yards.

Rounding a corner, Black Hood sighted a taxi cab cruising along.

Below it is the café and restaurant de la Rotonde, a very well-built looking place, with its rounding façade on the corner.

The men were now rounding up their charges into an open meadow half a mile distant, preparatory to an early start in the morning.

Synonym of the day

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On this page you'll find 50 synonyms, antonyms, and words related to rounding, such as: spin, wheel, whirl, encompass, rotate, and girdle.

From Roget's 21st Century Thesaurus, Third Edition Copyright © 2013 by the Philip Lief Group.

Related Words and Phrases

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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)

SplashLearn

Rounding Decimals – Definition with Examples

Rounding decimals.

  • Rounding to the Nearest Whole
  • Rounding to the Nearest Tenths
  • Rounding to the Nearest Hundredths

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up.

Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy. We can round decimals to the nearest wholes, tenths or hundredths. 

Rounding decimals is useful to estimate an answer easily and quickly. It is also useful to find out the estimate of the average score of the students in a class.

Related Games

Add Decimals (Greater than 1) Using Model Game

1. Rounding to the Nearest Whole

We follow the given steps to round numbers to the nearest whole number:

Step 1- We look at the number we want to round.

Step 2- As we are rounding our number to the nearest whole, we mark the digit in the one’s place.

Step 3- Now we look at the ‘tenths’ place (the digit to the right of the decimal point).

Step 4- (i) If the digit in the tenths column is 0, 1, 2, 3 or 4, we will round down the number at the ones place to the nearest whole number.

            (ii) If the digit in the tenths column is 5, 6, 7, 8 or 9, we will round up the number at the one’s place to the nearest whole number.

Step 5- Remove all the digits after the decimal point. The left out number is the desired answer.

Example 1:  Round 945.65 to the nearest whole number.

Related Worksheets

Add and Subtract Decimals less than 1 with Regrouping: Horizontal Worksheet

2. Rounding to the Nearest Tenths

We follow the given steps to round numbers to the nearest tenths:

Step 2- As we are rounding our number to the nearest tenths, we mark the digit in the tenths place.

Step 3- Now we look at the ‘hundredths’ place (the digit to the right of the tenths column).

Step 4- (i) If the digit in the hundredths place is 0, 1, 2, 3 or 4, we will round down the number at the tenths place to the nearest tenths.

           (ii) If the digit in the hundredths place is 5, 6, 7, 8 or 9, we will round up the number at the tenths place to the nearest tenths.

Step 5- Remove all the digits to the right of the tenths column. The left out number is the answer.

Example 2:  Round 542.33 to the nearest tenths.

decimal-rounding

Example 3:  Ryan weighs 27.51 kg. What is his weight to the nearest kg? 

The weight to the nearest kg = 28 kg.  

Measuring Weight

3. Rounding to the Nearest Hundredths

We can follow the given steps to round numbers to the nearest hundredths:

Step 2- As we are rounding our number to the nearest hundredths, we mark the digit in the hundredths place.

Step 3- Now we look at the ‘thousandths’ place (the digit to the right of the hundredths column).

Step 4- (i) If the digit in the thousandths place is 0, 1, 2, 3 or 4, we will round down the hundredths place to the nearest hundredths.

           (ii) If the digit in the thousandths column is 5, 6, 7, 8 or 9, we will round up the hundredths place to the nearest hundredths.

Step 5- Remove all the digits to the right of the hundredths place. The left out number is the answer.

Example 4:  The depth of lake Tanganyika is 1,470.158 m. What is the depth of the lake to the nearest hundredths? 

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Rounding numbers

Here you will learn how to round numbers to the nearest 10, 100, and 1000 as well as how to round decimal numbers to the nearest tenth, hundredth and thousandth.

Students will first learn about rounding numbers as part of their work with place value in the 3rd grade. They build upon this knowledge as they progress through 4th and 5th grade.

What is rounding numbers?

Rounding a number means to simplify it by scaling it up or down. 

Rounding is a type of estimation used to make calculations easier.

To round numbers, you can use a number line or you can apply a rule.

For example, let’s look at several rounding samples with and without a number line.

What is rounding numbers?

Common Core State Standards

How does this relate to 4th grade math and 5th grade math?

  • Grade 3 – Number and Operations – Base Ten (3.NBT.A.1) Use place value understanding to round whole numbers to the nearest 10 or 100.
  • Grade 4 – Number and Operations – Base Ten (4.NBT.A.3) Use place-value understanding to round multi-digit whole numbers to any place.
  • Grade 5 – Number and Operations – Base Ten (5.NBT.A.4) Use place value understanding to round decimals to any place.

How to round numbers

In order to round a whole number:

Find the rounding place and look at the digit immediately to the right of the rounding place.

When that digit is 5 or greater, add 1 to the rounding digit. When it is less than 5 , leave the rounding digit alone.

Change all the digits to the right or the rounding place to 0 ’s.

Write the rounded number.

In order to round a decimal number:

Drop all the digits to the right of the rounded digit.

[FREE] Rounding Numbers Check for Understanding (Grade 3 to 5)

[FREE] Rounding Numbers Check for Understanding (Grade 3 to 5)

Use this quiz to check your grade 3 to 5 students’ understanding of rounding numbers. 10+ questions with answers covering a range of 3rd, 4th, and 5th grade rounding numbers topics to identify areas of strength and support!

Rounding numbers examples

Example 1: rounding to the nearest 10.

Round 382 to the nearest 10.

  •  Find the rounding place and look at the digit immediately to the right of the rounding place.

3\underline{8}2 → 8 is in the rounding place (tens place)

3\underline{8}2 → 2 is the digit immediately to the right of 8 which is in the ones place.

2 When that digit is 5 or greater, add 1 to the rounding digit. When it is less than 5 , leave the rounding digit alone.

2 < 5 \; (2 is less than 5), so keep the digit as an 8.

3 Change all the digits to the right or the rounding place to 0 ’s.

382 → change the 2 to a 0

4 Write the rounded number.

382 rounded to the nearest 10 is 380.

Rounding Numbers image 2 US

383 is to the left of the halfway point and closer to 380. It will round to be 380.

Example 2: rounding to the nearest 100

Round 573 to the nearest 100.

\underline{5}73 → 5 is in the rounding place (hundreds place)

\underline{5}73 → 7 is the digit immediately to the right of 5 which is in the tens place.

7 > 5, \; (7 is greater than 5), add 1 to the rounding digit, 5 will become 6.

\underline{5}73 → 600 – change the 7 and 3 to 0 ’s.

573 rounded to the nearest 100 is 600.

Example 3: rounding to the nearest 1000

Round 29,862 to the nearest 1000.

2\underline{9},862 → 9 is the digit in the rounding place

2\underline{9},862 → 8 is the digit immediately to the right of 9 (hundreds place).

8 > 5, \; (8 is greater than 5), add 1 to the rounding digit, 9 will become 10.

Place a 0 where the 9 is, add 1 to the digit 2.

Rounding Numbers image 3 US

2\underline{9},862 → 30,000

29,862 rounded to the nearest 1000 is 30,000.

Example 4: rounding a decimal number to the nearest whole number

Round 25.67 to the nearest whole number

2\underline{5}.67 → 5 is in the rounded place (ones place)

2\underline{5}.67 → 6 is the digit immediately to the right of 5 (tenths place)

6 > 5, \; (6 is greater than 5), add 1 to the rounding digit, 5 will become 6.

2\underline{5}.67 → drop the digits 6 and 7

25.67 rounded to the nearest whole number is 26

Step-by-step guide: Estimation

Example 5: rounding a decimal number to the nearest tenth

Round 7.542 to the nearest tenth.

7.\underline{5}42 → 5 is in the rounded place (tenth place)

7.\underline{5}42 → 4 is the digit immediately to the right of 5 (hundredths place)

4 < 5, \; (4 is less than 5), leave the rounding digit alone.

7.542 → drop the digits 4, 2

7.542 rounded to the nearest tenth is 7.5

Step-by-step-guide: Rounding decimals

Example 6: rounding a decimal number to the nearest hundredth

Round 408.095 to the nearest hundredth.

408.0\underline{9}5 → 9 is in the rounded place (hundredths place)

408.0\underline{9}5 → 5 is the digit immediately to the right of 9 (thousandths place)

5 = 5, so add 1 to the rounded digit, and 9 becomes 10. Replace the 9 with a 0, add 1 to the digit 0.

Rounding Numbers image 4 US

408.0\underline{9}5 → drop the digits 5 and 6

408.095 rounded to the nearest hundredth is 408.10

Teaching tips for rounding numbers

  • Reinforce rounding with the number line. It gives students a visual representation of what rounding means.
  • You can also utilize math videos for rounding in math centers to help students review concepts.
  • Emphasize place value to help students with rounding. Provide a place value chart as a visual aide.

rounding math synonym

  • To help students understand why the rule requires the number to be rounded up when there is a 5 to the right of the rounded digit, give them grouping visuals.

Our favorite mistakes

  • Rounding errors occur when students do not have a strong understanding of place value. For example, rounding 12.34 to the nearest tenth and a student rounds to the nearest whole number.
  • Not rounding up appropriately when 9 is in the rounding digit. For example, rounding 3.4973 to the nearest hundredth would be 3.49 or 3.40 instead of 3.50.
  • When rounding decimal numbers be sure to represent the correct place value. For example, when rounding the number 5.096 to the nearest hundredth, the rounded decimal number will be 5.10. Be sure to leave 0 as a placeholder.

Rounding numbers practice questions

1. Round 193 to the nearest 100

GCSE Quiz False

\underline{1}93 → the digit immediately to the right of the rounding digit is 9.

Applying the rule, 9 > 5, add 1 to the rounded digit. 9 will become 10.

Change all digits to the right of the rounded digit to 0 ’s. 3 is to the right of the rounded digit, so it will become 0.

193 rounded to the nearest hundred, is 200.

2. Round 13.782 to the nearest hundredth.

13.7\underline{8}2 → 8 is in the rounded place and 2 immediately to the right of it.

Following the rule, 2 < 5, leave the rounded digit alone.

Drop all the digits to the right of the rounded digit, drop the 2.

13.782 rounded to the nearest hundredth is 13.78.

3. Round 25,592 to the nearest thousand.

2\underline{5},592 → 5 is in the rounded place and 5 is immediately to the right of it.

Following the rule, 5 = 5, so add 1 to the rounded digit. 8 will become 9.

Change all the digits to the right of the rounded digit to 0 ’s. 5, 9, 2 will become 0 ‘s.

25,592 rounded to the nearest thousand is 26,000.

4. Round 0.0364 to the nearest thousandth

0.036 → 6 is the rounded place and 4 is immediately to the right of it.

Following the rule, 4 < 5. Leave the rounded digit alone.

Drop the digits to the right of the rounded digit. Drop the digit 4.

0.0364 rounded to the nearest thousandth is 0.036

5. Round 77.552 to the nearest whole number.

7\underline{7}.552 → 7 is in the rounded place and 5 is immediately to the right of it.

Following the rule, 5 = 5, so add 1 to the rounded digit. 7 will become 8.

Drop the digits to the right of the rounded digit, so drop the digits 5, 5, and 2.

77.552 rounded to the nearest whole number is 78.

6. Round 2,689 to the nearest ten.

26\underline{8}9 → 8 is in the rounded place and 9 is the digit immediately to the right of it.

Following the rule, 9 > 5, so add 1 to the rounded digit. 8 will become 9.

Change the digits to the right of the rounded digit to 0 ’s. Change 9 to a 0.

2689 rounded to the nearest 10 is 2690.

Rounding numbers FAQ’s

Both rounding and estimating are strategies used to approximate numbers so they are easier to calculate or conceptualize. Estimating is the process of making a guess or calculation, whereas rounding is the process of taking the given number and by scaling it up or down. Rounding can be considered a type of estimation.

Significant figures are the non-zero numbers in a rounded number. You can round a number to a specific number of significant digits. For example, rounding 1645 to two significant figures would be 1600. This is the same as rounding 1645 to the nearest hundred.

Rounding Numbers image 6 US

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1. rounding

Rhymes with rounding.

  • Rounding in a sentence
  • Quotes about Rounding

noun. ['ˈraʊndɪŋ'] (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals.

  • rounding error
  • miscalculation
  • misreckoning
  • confounding
  • compounding

Sentences with rounding

1. Verb, gerund or present participle Measure the length of the wire in feet, rounding to the nearest foot. 2. Noun, singular or mass Think "chest up and out" to keep your back from rounding .

Quotes about rounding

1. The music in his laughter had a way of rounding off the missing notes in her soul. - Gloria Naylor, Linden Hills 2. Mathematicians finally developed a financial model to accurately compare apples and oranges. Any two kinds of fruit can be compared, although guavas still cause minor rounding errors. - Graham Parke, No Hope for Gomez!

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Rounding Numbers Hub Page

Welcome to the Math Salamanders' Rounding Numbers hub page.

Here you will find links to a range of different rounding worksheets which will help your child to understand about rounding different numbers and quantities.

As well as a great selection of rounding number worksheets, we also have an online rounding zone where you can practice your skills online!

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

  • This page contains links to other Math webpages where you will find a range of activities and resources.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Are you needing to round numbers to the nearest 10,100 or 1000?

Need help rounding to 2dp?

Wanting to round to 3 significant figures and don't know how?

This page will help you understand all about rounding!

Quicklinks to ...

  • Online Rounding Practice
  • Rounding Worksheet Generator
  • Rounding to the nearest 10
  • Rounding to the nearest 100
  • Rounding to the nearest 1,000
  • Rounding Challenges to the nearest 10, 100 or 1,000
  • Rounding to the nearest whole
  • Rounding to 1dp
  • Rounding to 2dp
  • Rounding Decimals Challenges
  • Rounding to Significant Figures

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 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 (Randomly Generated)

Rounding numbers to the nearest 10

When you are rounding a number to the nearest 10, you are trying to find out which multiple of 10 your number is closest to.

The golden rule with rounding is that if a number is exactly halfway between two multiples of 10, you always round up.

How to round a number to the nearest 10

Look at the ones digit.

  • if it is less than 5 then round the number down by changing the ones digit to zero;
  • if it is 5 or more then round the number up by adding one on to the tens digit and changing the ones digit to zero.
  • 37 rounds up to 40 because the ones digit is 7.
  • 63 rounds down to 60 because the ones digit is 3.
  • 145 rounds up to 150 because the ones digit is a 5.
  • Rounding to the nearest 10 Worksheets

Rounding numbers to the nearest 100

When you are rounding a number to the nearest 100, you are trying to find out which multiple of 100 your number is closest to.

How to round a number to the nearest 100

Look at the tens digit.

  • if it is less than 5 then round the number down by changing the tens digit and ones digit to zero;
  • if it is 5 or more then round the number up by adding one on to the hundreds digit and changing the tens and ones digit to zero.
  • 287 rounds up to 300 because the tens digit is 8.
  • 1629 rounds down to 1600 because the tens digit is 2.
  • 950 rounds up to 1000 because the tens digit is a 5.
  • Rounding to the nearest 100 worksheets

Rounding numbers to the nearest 1000

When you are rounding a number to the nearest 1000, you are trying to find out which multiple of 1000 your number is closest to.

How to round a number to the nearest 1000

Look at the hundreds digit.

  • if it is less than 5 then round the number down by changing the hundreds, tens and ones digits to zero;
  • if it is 5 or more then round the number up by adding one on to the thousands digit and changing the hundreds, tens and ones digits to zero.
  • 4687 rounds up to 5000 because the hundreds digit is 6.
  • 8296 rounds down to 8000 because the hundreds digit is 2.
  • 11583 rounds up to 12000 because the hundreds digit is a 5.
  • Rounding to the nearest 1000 worksheets

Rounding Challenges to the nearest 10, 100 or 1000

Here is our rounding challenges collection which will give your child an opportunity to apply their rounding learning.

The challenges can be tackled individually or with a partner.

Each challenge involves using rounding knowledge and properties of numbers to work out the correct answer.

Using these sheets will help your child to:

  • apply their knowledge of rounding to the nearest 10, 100 or 1000;
  • develop their problem solving skills;
  • develop their understanding about place value and properties of numbers.

All the rounding challenges support elementary math benchmarks.

  • Rounding Numbers Worksheet Challenges

Rounding Decimals

When you are rounding decimals, you will either be rounding to the nearest whole number, or you will be rounding to a given number of decimal places or significant figures.

Help with each of these options and examples is given below.

Rounding to the nearest whole number

When you are rounding a number to the nearest whole number, you are trying to find out which whole number (or integer) your number is closest to.

How to round a number to the nearest integer (whole number)

Look at the tenths digit (the digit after the decimal point).

  • if it is less than 5 then round the number down by removing the decimal part of the number;
  • if it is 5 or more then round the number up by adding one on to the ones digit and removing the decimal part of the number.
  • 3.8 rounds up to 4 because the tenths digit is an 8.
  • 6.29 rounds down to 6 because the tenths digit is a 2.
  • 12.527 rounds up to 13 because the tenths digit is a 5.
  • Rounding Decimals to the nearest whole

Rounding numbers to the nearest tenth (or one decimal place)

When you are rounding a number to the nearest tenth, you are trying to reduce your decimal to the closest decimal with just one decimal place.

How to round a number to the nearest tenth (or 1dp)

Look at the hundredths digit (the digit after the tenths digit).

  • if it is less than 5 then round the number down by removing the decimal part of the number after then tenths digit;
  • if it is 5 or more then round the number up by adding one on to the tenths digit and removing the rest of the decimal part of the number.
  • 1.76 rounds up to 1.8 because the hundredths digit is a 6.
  • 8.746 rounds down to 8.7 because the hundredths digit is a 4.
  • 14.252 rounds up to 14.3 because the hundredths digit is a 5.
  • Rounding to the nearest tenth

Rounding numbers to 2dp (or 2 decimal places)

When you are rounding a number to 2 decimal places, you are trying to reduce your decimal to the closest decimal with 2 decimal places.

How to round a number to 2dp (2 decimal places)

Look at the 3rd decimal digit (the digit after the hundredths digit).

  • if it is less than 5 then round the number down by removing the decimal part of the number after the 2nd decimal place;
  • if it is 5 or more then round the number up by adding one on to the hundredths digit and removing the rest of the decimal part of the number after this.
  • 3.729 rounds up to 3.73 because the 3rd decimal digit is a 9.
  • 18.1827 rounds down to 18.18 because the 3rd decimal digit is a 2.
  • 27.625 rounds up to 27.63 because the 3rd decimal digit is a 5.
  • Rounding Decimal Places Sheets to 2dp

Rounding Decimals Challenges to the nearest whole, tenth or 2dp

Here is our rounding decimal challenges collection which will give your child an opportunity to apply their decimal rounding learning.

  • apply their knowledge of rounding to the nearest whole, tenth, or 2dp;
  • Rounding Decimals Worksheet Challenges

Rounding numbers to Significant Figures

Rounding to significant figures is different from rounding to decimal places.

The first significant figure is the first non-zero digit a number has.

The second significant figure is the digit after the 1st significant figure.

The third significant figure is the digit after the 2nd significant figure, and so on.

See below for help to round a number to a set number of significant figures.

Rounding numbers to 1 significant figure (1SF)

When you are rounding a number to 1 significant figures, you are trying to reduce the number to a single digit and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 1 significant figure

Look at the 2nd significant digit that the number has.

In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.

  • if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
  • if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.
  • 8726 rounds up to 9000, because the 2nd significant digit is a 7.
  • 73.283 rounds down to 70 because the 2nd significant digit is a 3.
  • 152 rounds up to 200 because the 2nd significant digit is a 5.
  • 0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
  • 0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.

Rounding numbers to 2 significant figures (2sf)

When you are rounding a number to 2 significant figures, you are trying to reduce the number to a two digits and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 2 significant figures

Look at the 3rd significant digit that the number has.

This is the digit which is two digits after the most significant digit.

  • if it is less than 5 then round the number down by removing the rest of the number after the 2nd significant digit and filling in with zeros;
  • if it is 5 or more then round the number up by adding one on to the 2nd significant digit and removing the rest of the number and filling in with zeros.
  • 5271 rounds up to 5300, because the 3rd significant digit is a 7.
  • 73.483 rounds down to 73 because the 3rd significant digit is a 4.
  • 175 rounds up to 180 because the 3rd significant digit is a 5.
  • 0.003826 rounds down to 0.0038 because the 3rd significant digit is a 2.
  • 0.60828 rounds up to 0.61 because the 3rd significant digit is an 8.
  • Rounding Significant Figures Worksheets

Rounding to 3 significant figures (3sf)

When you are rounding a number to 3 significant figures, you are trying to reduce the number to a 3 digits and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 3 significant figures

Look at the 4th significant digit that the number has.

  • if it is less than 5 then round the number down by removing the rest of the number after the 3rd significant digit and filling in with zeros;
  • if it is 5 or more then round the number up by adding one on to the 3rd significant digit and removing the rest of the number and filling in with zeros.
  • 5261 rounds down to 5260, because the 4th significant digit is a 1.
  • 73.285 rounds up to 73.3 because the 4th significant digit is an 8.
  • 1805 rounds up to 1810 because the 4th significant digit is a 5.
  • 0.003826 rounds up to 0.00383 because the 4th significant digit is a 6.
  • 0.07284 rounds down to 0.0728 because the 4th significant digit is a 4.

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Table of Contents

Last modified on October 11th, 2023

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Rounding numbers.

Rounding number is the process of approximating the number to its closest value. It involves reducing the number of significant digits while retaining the general magnitude or size of the original number. The result of rounding is less accurate than the original number but simplifies calculations.

Suppose one of your friends covered 18 km while returning home from his office. But, when documenting the distance covered in paper, he estimated it as 20 km.

You may wonder where that extra 2 km comes from. We can explain it this way:

18 is closer to 20 than 10. So it is rounded off to 20. If the value would have been 14 km, the value would have approximated to 10 km.

But what if the value is 15 km? It would also go up and be approximated to 20 km. So, any value that equals or exceeds 15 will go up to 20, and values below 15 will round down to 10.

rounding math synonym

We follow the following three steps while rounding a number:

  • Identifying the rounding digit
  • When rounding down, we keep it the same if the next digit is less than 5
  • When rounding up, we increase it by 1 if the next digit is 5 or more than 5

Rounding to the Nearest Ten

Here, we need to check the digit to the right of the tens place, the ones place.

For example, rounding the number 147, the one’s digit 7 is ˃5, so we add 1 to the tens digit (4 + 1 = 5), and the digit becomes 150.

Rounding to the Nearest Hundred

Here, we check the digit to the right of the hundreds place, the tens place.

For example, when rounding the number 568 to its nearest hundred, the tens digit is 6, which is ˃5, so we add 1 to the hundred digits (5 + 1 = 6). The remaining two digits at the ones and the tens placed will be 0. So, 568 becomes 600 after rounding.

Rounding to the Nearest Thousands

Here, we check the digit to the right of the thousands place, that is, the hundreds place.

For example, when rounding the number 7892 to its nearest thousands, the tens hundreds is 8, which is ˃5, so we add 1 to the thousands digit (7 + 1 = 8), and the rest three digits at the ones, tens, and hundreds place will both be 0. So, 7892 becomes 8000 after rounding.

Rounding Negative Numbers

But how can we round a negative number? The number -8.5 can be rounded to -9 or -8, but which one to follow?

It is again up to us which process we want to follow: rounding up or rounding down.

Rounding Decimals

Like rounding whole numbers, we follow the same steps here.

Rounding to the Nearest Tenths

Here, we need to check the digit to the left of the tens place, the Hundredth place. Thus, rounding to tenths leaves one number after the decimal point.

For example, when 4.57 is rounded to the nearest ten, it becomes 4.6, and 14.87 is rounded to 14.9

Rounding to the Nearest Hundredths

Here, we need to check the digit to the left of the hundredth place, the thousandth place. Thus, rounding to hundredths leaves two numbers after the decimal point.

For example, 0.6278 is rounded to 0.63, and 1.8743 is rounded to 1.87

Rounding to the Nearest Thousandths

Here, we need to check the digit to the left of the thousandth place. Thus, rounding to hundredths leaves three numbers after the decimal point.

For example, 0.5679 is rounded to 0.568and 6.3859is rounded to 6.386

There are several methods of rounding numbers. While rounding, we either round up or round down to indicate whether the number has increased or decreased after rounding.

Half Round Up

In this method of rounding, 0.5 goes up. Thus, 9.5 rounds up to 10.

  • 4.5 rounds up to 5
  • 9.9 rounds up to 10
  • 5.3 rounds down to 5

Half Round Up with Negative Numbers

  • -4.5 rounds up to -4
  • -9.9 rounds down to -10
  • -5.3 rounds up to -4

Half Round Down

But we can round 0.5 down as well. In such a case, 9.5 will round down to 9.

  • 2.5 rounds down to 2
  • 4.4 rounds down to 4
  • 9.6 rounds up to 10

Half Round Down with Negative Numbers

  • -2.5 rounds down to -3
  • -4.4 rounds up to -4
  • -9.6 rounds down to -10

All the above rounding methods are symmetric. As we can see, 4.5 rounds up to 5, so -4.5 should be rounded to -5.

However, some methods may need to be more symmetrical.

Round Half Away from Zero

It means rounding half the values away from zero. Here, the method has no biases towards positive or negative numbers but is biased away from zero. It involves rounding a half value towards the next integer, which is closer to positive or negative infinity on the basis of its value.

For example,

  • 7.5 rounds to 8
  • -7.5 rounds to -8

Round Half towards Zero

It is similar to rounding half away from zero but in the opposite direction. It has no bias towards a positive or a negative number. Still, it has a tendency towards 0, which means half the values will be rounded to the next integer closer to zero.

  • 7.5 rounds to 7
  • -7.5 rounds to -7

Round Half to Even

Rounding half to even is used as a tie-breaking rule as it has no biases towards a positive or a negative number or even towards or away from zero. Here, the half values are rounded to the nearest even integer.

  • 5.5 rounds up to 6 (since 6 is an even number)
  • 6.5 rounds down to 6 (since 6 is an even number)
  • -6.5 rounds up to 7
  • -8.5 rounds up to 8 (since 8 is an even number)

Round Half to Odd

It is also a tie-breaking rule, like rounding half to even. However, the number is rounded to the nearest odd integer for rounding half to odd.

  • 5.5 rounds down to 5 (since 5 is an odd number)
  • 7.5 rounds down to 7 (since 7 is an odd number)
  • -8.5 rounds down to -9 (since 9 is an odd number)

Floor and Ceiling Method

These methods give the nearest integer down or up for floor and ceiling.

The number remains the same after rounding an integer.

So the floor of 6 is 6, and the ceiling of 6 is also 6.

However, depending on the method, the digit attains the nearest integer up or down for a decimal number.

For example, 2.7 is rounded down to 2 in the floor method, while it is rounded up to 3 in the ceiling method.   

Rounding Fractions

Rounding to fractions is the same as rounding decimals. We first convert the fraction into decimal and then round the number to tenths, hundredths, thousandths, and so on.

Rounding to Nearest Tenths

${\dfrac{14}{25}}$ is equal to 0.56, which, when rounded to the nearest tenths, gives 0.6

Rounding to Nearest Hundredths

${\dfrac{78}{48}}$ is equal to 1.625, which, when rounded to the nearest hundredths, gives 1.63

Rounding to Nearest Thousandths

${\dfrac{1823}{2000}}$ is equal to 0.9115, which, when rounded to the nearest thousandths, gives 0.912

Rounding to Significant Digits

A significant figure is each digit in a number that helps to express the number with the required degree of accuracy. For example, the number 15.6 has three significant figures.

There are specific rules for deciding the number of significant figures.

1) All nonzero digits are significant.

For example, 1.7 has 2 significant figures, and 2.678 has 4 significant figures.

2) Zeroes between nonzero digits are significant.

For example, 3006 has 4 significant figures, and 10.3 has 3 significant figures.

3) Zeroes to the left of the first nonzero digit are not significant.

For example, 0.002 has 1 significant figure, and 0.045 has 2 significant figures.

4) Zeroes to the right of a decimal point in a number are always significant.

For example, 0.045 has 2 significant figures, and 0.700 g has 3 significant figures.

5) For non-decimal numbers, the trailing zeros are not necessarily significant.

However, 280 can be written as 2 or 3 significant figures, and 60,700 may be 3, 4, or 5 significant figures. This ambiguity is removed by expressing the number in scientific notation. Depending on the number of significant figures, which is correct, 60,700 is written as:

  • 6.07 × 104 calories (for 3 significant figures)
  • 6.070 × 104 calories (for 4 significant figures)
  • 6.0700 × 104 calories (for 5 significant figures)

Solved Examples

Round i) 767 ii) 34.68 to the nearest ten .

i) 767 on rounding to the nearest ten, give 770 ii) 34.68on rounding to the nearest ten, give 30

Round i) 8974 ii) 7646.89 to the nearest hundred .

i) 8974on rounding to the nearest hundred gives 9000 ii) 7646.89 on rounding to the nearest hundred gives 7,600

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Rounding Numbers

Rounding numbers means adjusting the digits of a number in such a way that it gives an approximate value. This value is an easier representation of the given number. For example, the population of a town could be easily expressed as 700,000 rather than 698,869. Rounding numbers makes calculations simpler, resulting in a figure that is easy to remember. However, rounding of numbers is done only for those numbers where the exact value does not hold that much importance.

Let us learn more about rounding numbers, to get a better idea of how to round off a number to the nearest ten, hundred, thousand, and so on.

What is Rounding Numbers?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Let us understand the concept of rounding through an example. Susan covered a distance of 2.05 miles, which she noted as approximately 2 miles. How did she estimate the approximate value of the distance she covered? Why didn't she record her distance as 3 miles? Noting an approximate and simpler value for a given number helps to make the analysis and calculations easier while using that number. Here, Susan noted an easier value to keep a record of the distance travelled by her.

Numbers can be rounded to different digits, like, they can be rounded to the nearest ten, hundred, thousand, and so on. For example, 541 rounded to the nearest hundred is 500 because 541 is much closer to 500 than 600. While rounding a number, we need to know the answer to the question,' What are we rounding the number to?' Suppose we need to round the number 7456. When 7456 is rounded to the nearest ten, it becomes 7460, but when 7456 is rounded to the nearest thousand, then it becomes 7000. A few examples like these are given below.

Rounding Numbers to the Nearest Ten

Rounding numbers to the nearest ten means we need to check the digit to the right of the tens place, that is the ones place. For example, when we round the number 7486 to the nearest ten, it becomes 7490.

Rounding Numbers to the Nearest Hundred

Rounding numbers to the nearest hundred means we need to check the digit to the right of the hundreds place, that is, the tens place. For example, when 7456 is rounded to the nearest hundred, it becomes 7500.

Round-Up and Round-Down

While rounding is a generic term, we usually use the terms, 'round up' or 'round down' to specify if the number has increased or decreased after rounding. When the rounded number is increased, then the given number is said to be rounded up, whereas, if the rounded number is decreased, then it is said to be rounded down.

Rules for Rounding Numbers

How do we decide which value is more appropriate between different approximated values of a number? Should we choose a number greater than the given number or go with the smaller one?

  • We first need to know what our rounding digit is. This digit is the one that will ultimately be affected.
  • After this, we need to check the digit to the right of this place which will decide the fate of the rounding digit.
  • If the digit to the right is less than 5, we do not change the rounding digit. However, all the digits to the right of the rounding digit are changed to 0.
  • If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and all the digits to the right of the rounding digit are changed to 0.

a.) If the bill at a furniture store comes to $3257, what is the rounded value of the amount to the nearest ten?

b.) If the bill comes to $3284, what would be the rounded value of this amount to the nearest ten?

Rounding Numbers to the nearest ten

a.) $3257 needs to be rounded to the nearest ten. So, let us mark the digit in the tens place, which is 5. Now, let us check the number to the right, which is 7 in this case. Since 7 is more than 5, we will replace 5 with 6, and all the digits to the right will become 0. So, $3257 is rounded to $3260.

b .) Here, $3284 needs to be rounded to the nearest ten. So, let us mark the digit in the tens place, which is 8. Now, let us check the number to the right, which is 4 in this case. Since 4 is less than 5, 8 will remain unchanged and the remaining digits to the right will change to 0. So, $3284 is rounded to $3280.

How to Round Off Whole Numbers?

Whole numbers are rounded off by following the same rules mentioned above. Let us apply the rules with the help of an example.

Example: Round 7234 to the nearest hundred.

  • Step 1: Mark the place value up to which the number needs to be rounded. Here, 7234 needs to be rounded to the nearest hundred. So, we mark 2 which is in the hundreds place.
  • Step 2: Observe and underline the digit to the right of 2, that is the tens place. Here, it is 3, so we will mark it as: 7 2 3 4
  • Step 3: Compare the underlined digit with 5.
  • Step 4: If it is less than 5, all the digits towards its right including it will be replaced by 0 while the digit in the hundreds place (2) will remain unchanged. Therefore, 7234 will be rounded to 7200.

Note: If the number to the right of 2 was 5 or greater than 5, then all the digits to the right of 2 would become 0, and 2 would be increased by 1 changing it to 3. For example, if the given number was 7268, then it would be rounded up to 7300 (to the nearest hundred).

How to Round Off Fractions?

Fractions are numerical values that represent a part of a whole. They are written in the form of (p/q), where q is not equal to zero. A simple rule to round fractions to the nearest whole number is to compare proper fractions to 1/2. In case if it is an improper fraction, we need to change it to a mixed fraction and then compare the fractional part with 1/2. We round up the fraction if it is equal to or greater than 1/2, and we round down if it is less than 1/2. Let us understand rounding off fractions to the nearest whole number using the following example.

Example: Round the given fractions to the nearest whole number:

b.) \(6 \dfrac{2}{5}\)

a.) We can round off a proper fraction to the nearest whole number by following the simple rule of comparing it with 1/2. Since 3/4 is greater than 1/2, it will be rounded off to 1.

b.) \(6 \dfrac{2}{5}\) is a mixed fraction. Here, we will keep the whole number part aside and compare the fractional part with 1/2. So, keeping 6 aside, we will check if 2/5 is greater than or less than 1/2. Since 2/5 is less than 1/2, we will round the given mixed fraction to 6.

c.) 21/5 is an improper fraction, so we will convert it to a mixed fraction. This will make it \(4 \dfrac{1}{5}\). Now, we will keep the whole number part aside and compare the fractional part with 1/2. So, keeping 4 aside, we will check if 1/5 is greater than or less than 1/2. Since 1/5 is less than 1/2, we will round the given fraction to 4.

How to Round Off Decimal Numbers?

A decimal number is a combination of a whole number part and a fractional part separated by a decimal point. Rounding decimal numbers works in the same way as we round whole numbers although we need to know the decimal place values of all the digits in the given number. This refers to the digits given before the decimal point as well as the digits given after the decimal point. Observe the decimal place value chart to understand this better.

Decimal Place Value Chart

We usually round decimal numbers to the nearest tenths, hundredths, thousandths, and so on, which represent the place values after the decimal point. However, sometimes we even need to round a decimal to the nearest whole number. In this case, we check the tenths digit. If it is equal to or more than 5, then the given number is rounded up, and if the tenths digit is less than 5 then the given number is rounded down.

Example 1: Round 5.62 to the nearest whole number.

Solution: Since we need to round this decimal to the nearest whole number, we will check the tenths digit. In this case, the tenths digit is 6, which is more than 5. So, the number will be rounded to 6. In other words, 5.62 ≈ 6

In the other cases, where we need to round decimals to the nearest tenths, hundredths, or thousandths, we need to remember the simple rule of marking the number up to which we are rounding and checking the number to its right. For example, when we round decimal numbers to the nearest hundredths, we need to check the thousandths place. Similarly, if we need to round decimal numbers to the nearest tenths, we need to check the hundredths place. If the number to be checked is less than 5, then the rounding number remains unchanged, and the following digits are replaced with 0. Whereas, if the number to be checked is 5 or more than 5, then the rounding number is increased by 1 and the following digits are changed to 0. Let us understand this with an example.

Example 2: Round 0.439 to the nearest hundredths.

Solution: In this case, the digit to the right of the hundredths place, that is, the thousandths place is 9, which is more than 5. So, we will add 1 to the digit in the hundredths place, that is, 3 + 1 = 4, and write 0 in the digits to the right. So, 0.439 will be rounded to 0.44

Note: It should be noted that when we round a decimal number to the nearest hundredth, the round decimal fraction is said to be correct to two places of decimal. In other words, if we are asked to round off a number to two decimal places, it means we need to round it to the nearest hundredths. Similarly, when we are asked to round off a number to one decimal place, it means we need to round it to the nearest tenths .

Tips on Rounding Numbers:

The following tips are helpful in solving questions related to rounding numbers.

  • While rounding numbers, we always need to check the digit to the right of the rounding number. If it is less than 5, the rounding number remains the same and the following digits are changed to 0. If the digit to the right is equal to or more than 5, we increase the rounding digit by 1 and the following numbers are changed to 0.
  • When we round decimal numbers, we usually come across terms like round to the nearest tenths, hundredths, thousandths, and so on.
  • When we are asked to round off a number to one decimal place, it means we need to round it to the nearest tenths, similarly, when we are asked to round off a number up to two decimal places, it means we need to round it to the nearest hundredths.
  • When the rounded number is increased, then the given number is said to be rounded up, whereas, if the rounded number is decreased, then it is said to be rounded down.

Related Topics

Check out the following links related to rounding numbers.

  • What are Numbers?
  • Number Line

Rounding Numbers Examples

Example 1: Round 321 to the nearest hundred, using the rules for rounding numbers.

While rounding numbers to the nearest hundred, we check the digit in the tens place. In this case, it is 2, which is less than 5. Therefore, this digit and all the digits to its right will change to 0 and the digit in the hundreds place will remain the same. Therefore, 321 is rounded to 300. This can be expressed as 321 ≈ 300.

Example 2: Using the rules of rounding numbers, round \(6 \dfrac{1}{5}\) to the nearest whole number.

A mixed fraction is made up of a whole number part and a fractional part. When we round off mixed fractions to a whole number, we compare the fractional part with 1/2. In this case, 6 is the whole number part and 1/5 is the fractional part. Now, we will keep the whole number part aside and compare the fractional part with 1/2. So, keeping 6 aside, we will check if 1/5 is greater than or less than 1/2. Since 1/5 is less than 1/2, we will round the given fraction to 6. Therefore \(6 \dfrac{1}{5}\) ≈ 6

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Practice Questions

Faqs on rounding numbers, what is rounding numbers in math.

Rounding a number means converting a number to a simpler value such that its value remains close to what it was. Rounding numbers makes calculation simpler and converts figures to an approximate value which is easier to remember. For example, if the population of a town is 692,769, it can be rounded to 700,000, and it would be easier to remember an approximate figure of 700,000 rather than the real figure.

What are the Rules for Rounding Off Decimal Numbers?

There are some basic rules that need to be followed for rounding decimal numbers. They are similar to rounding the other numbers, however, we need to know the decimal place values of all the digits in the given number. This refers to the digits given before the decimal point as well as the digits given after the decimal point. In other words, we usually round decimal numbers to the nearest tenths, hundredths, thousandths, and so on, which represent the place values after the decimal point. Sometimes, we even round the decimal to the nearest whole number. In all these cases, we use the following rules.

For example, if we need to round 0.476 to the nearest tenths, it means we will check the digit to its right, which is the hundredths digit. In this case, it is 7 which is more than 5. Therefore, 0.476 will be rounded up to 0.5 to the nearest tenths.

What is 62 Rounded to the Nearest ten?

When 62 is rounded to the nearest 10, we need to check the digit in ones place. Here, it is 2, which is less than 5. So, 6 will remain the same, and 2 will change to 0. Therefore, 62 rounded to the nearest ten will be 60.

Where do we Use Rounding of Numbers in Real Life?

In real life, we usually round numbers whenever the exact value is not so important. For example, if we want to know the approximate amount that we spent in a grocery store, or the amount while estimating a budget, or while expressing larger figures like the population of a town. We estimate the amount to simpler numbers so that calculation becomes easier. For example, if we know that our monthly expenditure would be around $590, we can easily round the number to $600 which is a figure that is easier to remember.

How to Round Numbers to the Nearest Tenth?

If we need to round decimal numbers to the nearest tenth, we need to check the digit to the right of the digit on the tenths place, which is the hundredths place. If the number in the hundredths place is less than 5, then the rounding number remains unchanged, and the following digits are replaced with 0. Whereas, if the number to be checked is 5 or more than 5, then the rounding number is increased by 1 and the following digits are changed to 0. For example, to round 56.73 to the nearest tenth, we will check the digit in the hundredths place, which is 3 in this case. Since 3 is less than 5, 7 will remain the same and the following digits will become 0. So, 56.73 rounded to the nearest tenths will become 56.7

What is the Purpose of Rounding Numbers?

Rounding numbers means adjusting the digits of a number such that it gives an estimated result. Rounding a number gives an approximate value which is a simpler and a shorter representation of the given number. For example, if the population of a town is 498,821, it would be easier if it is expressed as 500,000. This helps in making calculations easier with a figure that is easy to remember and note. However, rounding of numbers is done in those cases where the exact value does not hold that much importance.

What is Rounding Numbers to the Nearest Ten?

When we round numbers to the nearest ten, we first mark the digit in the tens place. Then, we observe the 'ones' place, which lies to the right of the tens column. According to the rules, if the digit in the ones place is 5 or more than 5, we add 1 to the digit in the tens place, that is, we increase the tens place by 1 and write 0 in all the digits to the right. However, If the digit in the ones place is less than 5, we write 0 in the ones place and in all the places to its right, and the digit in the tens place remains the same. For example, if we need to round 389 to the nearest ten, we will check the digit in ones place. In this case, it is 9 which is more than 5. So, 8 will change to 9, and 389 will be rounded to 390.

How to Round Numbers to the Nearest 100?

In order to round numbers to the nearest hundred, we need to check the digit to its right, which is the tens place. For example, if we need to round 3270 to the nearest 100, we will check the tens place. In this case, it is 7, which means the digit in the hundreds place will be increased by 1, that is, 2 will become 3 and the remaining digits to its right will become zero. Therefore, 3270 will be rounded up to 3300.

How to Round Numbers to the Nearest Thousand?

When we round numbers to the nearest thousand, we check the digit in the hundreds place. If the digit in the hundreds place is 5 or more than 5, we increase the thousands place by 1 and write 0 in all the digits to the right. In case, if the digit in the hundreds place is less than 5, we write 0 in the hundreds place and in all the places to its right, while the digit in the thousands place remains as it is. For example, let us round 76431 to the nearest thousand. We will first check the digit in the hundreds place. In this case, it is 4, which is less than 5. So, 6 will remain as it is and all the digits to the right will become 0. Therefore, 76431 will be rounded to 76000.

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round or nearly round .

of, relating to, or used for making something round .

turning, curving, or circling around.

pertaining to the mathematical process of rounding: a rounding error.

the act or process of making something round.

Mathematics .

the process of replacing a number by another number of approximately the same value but having fewer digits: To the nearest dollar, the rounding of $27.68 yields $28.

a similar process that specifies one of various rules. Generally, the number is first truncated to one or two digits more than is desired; then the last one or two digits are adjusted in a specified way in order to reflect the magnitude of the original number. In rounding the final digits, 0–4 are simply dropped, 6–9 are dropped after the preceding digit is increased by 1, and 5 is handled in various ways depending on the surrounding digits and the particular convention being followed. : Compare truncate (def. 2) .

Origin of rounding

Words nearby rounding.

  • roundheaded
  • round herring
  • rounding error
  • round kumquat
  • Round Lake Beach

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024

How to use rounding in a sentence

In her findings, 63 percent of temperature samples were biased by this double- rounding .

Scrapping the quail research might score some easy political points, but it was a rounding error on these agencies’ budgets.

Still, Microsoft sees a lot, so any difference with actual numbers is likely a rounding error.

At Trilogy, the work of leaders includes investing in employees’ growth and continuing the “ rounding ” that has long kept executives close to what’s happening at the front lines.

If we don’t do something to offset the damage to our retirement system, today’s problems could end up looking like a rounding error compared to what the future holds.

Democrats were working hard to pass a budget in a divided government, and Yee was charged in part with rounding up the votes.

And what could be more honorable than rounding up your besties to pay homage to a hallowed pop deity?

The White House has been rounding up senators to vouch for her.

rounding out the Big Three, GM was also up 15 percent year over year.

By August we were rounding up any young man we found, whether we were looking for him or not.

On rounding a point a few minutes after, he was again arrested by a scene which, while it charmed, amazed him.

In rounding Point Bradley, there is a rocky shelf that runs off the point for perhaps one hundred yards.

rounding a corner, Black Hood sighted a taxi cab cruising along.

Below it is the café and restaurant de la Rotonde, a very well-built looking place, with its rounding façade on the corner.

The men were now rounding up their charges into an open meadow half a mile distant, preparatory to an early start in the morning.

British Dictionary definitions for rounding

/ ( ˈraʊndɪŋ ) /

computing a process in which a number is approximated as the closest number that can be expressed using the number of bits or digits available

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Synonyms of round

Preposition.

  • as in wheel
  • as in circle
  • as in spherical
  • as in plump
  • as in ringing
  • as in exact
  • as in through
  • as in around
  • as in to roll
  • as in to circle
  • as in to curve
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Thesaurus Definition of round

 (Entry 1 of 5)

Synonyms & Similar Words

  • merry - go - round
  • progression
  • development

Thesaurus Definition of round  (Entry 2 of 5)

  • cylindrical

Antonyms & Near Antonyms

  • nonspherical
  • roly - poly
  • endomorphic
  • ectomorphic
  • reverberant
  • reverberating
  • reverberative
  • mellifluous
  • mellifluent
  • comparative
  • approximate

Thesaurus Definition of round  (Entry 3 of 5)

  • counterclockwise
  • withershins
  • widdershins

Thesaurus Definition of round  (Entry 4 of 5)

Thesaurus Definition of round  (Entry 5 of 5)

  • agglomerate
  • circumnavigate
  • circumambulate
  • perambulate

Phrases Containing round

  • round (off or out)

Articles Related to round

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Cite this entry.

“Round.” Merriam-Webster.com Thesaurus , Merriam-Webster, https://www.merriam-webster.com/thesaurus/round. Accessed 24 Feb. 2024.

More from Merriam-Webster on round

Nglish: Translation of round for Spanish Speakers

Britannica English: Translation of round for Arabic Speakers

Britannica.com: Encyclopedia article about round

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Math Rounding Games for 3rd Graders

Shelley frost.

rounding math synonym

Rounding challenges many third-grade students. They often forget if the number is rounded up or down, which number is the deciding number and why rounding is important. Math games that focus on rounding give kids an alternative method of practicing the skill. These games work well during center time, as a warm-up activity or as a filler activity at the end of math class.

Explore this article

  • Around the World
  • Rounding Container Game

1 Around the World

This popular classroom game adapts easily to fit any educational concept. The basic premise starts with one child as the challenger. The rest of the class sits in a circle while the challenger stands next to one of the seated children. The teacher holds up a card for only those two students to answer. The first person to answer correctly wins and moves on to challenge the next person in the circle. The person who didn't win that round sits down. The goal is for a student to make it all the way around the circle in one turn by answering all of the questions first and correctly.

In this case, you would create a set of number cards. You hold up a card and the two players must say what number it would round to. For example, if you're working on rounding to the nearest 100 and the number card says 273, the first person to say "300" is the winner of that round. That player stands by the next student where the process is repeated. This helps kids think quickly about rounding in an entertaining format.

2 Rounding Container Game

You'll need an open area to play this game to ensure the kids don't get hurt. If you don't have enough space in the classroom, move to the gym or cafeteria. Start with 11 baskets, tubs or other containers. Label the containers 0, 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100. These are the rounding containers. You'll also need several cards with numbers that the students will round. You can use any number between 1 and 99, but skip the numbers on the baskets (10, 20, 30...). The number cards are scattered on the floor with the containers lined up along one side of the play area. One at a time, a student runs to the pile, grabs a number and places it the correct rounding container. For example, a card with 98 on it would go into the 100 container. The first student returns to the group and the next student repeats the process. At the end of the game, go through each container as a class to make sure all of the numbers were placed correctly. You also can modify this game to work with rounding to the nearest 100 or 1,000 by changing the container labels and number cards.

3 Dice Game

You'll need different colored dice for each place value you're using in this math game. For example, if you're rounding to the nearest 100, you'll need three dice. Assign each color to a certain place value. For example, red represents the ones place, blue represents the tens place and green represents the hundreds place. This makes it easy for the students to construct the same number. Working in small groups, one child rolls the dice. The students write down the resulting number based on the colors. They then round it to the nearest 100. The first child to get the answer gets a point.

  • 1 Lesson Plans Pages: Bounding and Rounding

About the Author

Based in the Midwest, Shelley Frost has been writing parenting and education articles since 2007. Her experience comes from teaching, tutoring and managing educational after school programs. Frost worked in insurance and software testing before becoming a writer. She holds a Bachelor of Arts in elementary education with a reading endorsement.

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rounding math synonym

K-5 Math Centers

K-5 math ideas, 3rd grade math, make teaching 3rd grade math less intimidating, how to teach rounding to 3rd graders.

teaching-rounding-in-3rd-grade

Rounding numbers is an important life skill.

Have you ever been in a situation when you needed to find out how much time it took to drive somewhere?

You may have asked something like, “How many minutes is it from here?” 

And you may have gotten back a response like, “5 minutes” or “20 minutes”.

Rarely will someone give a response back like “17 minutes”…unless you’re looking at Google Maps.

And that’s because they estimated the time.

Our students’ ability to estimate and round numbers will make their lives outside of the classroom easier. So, let’s explore rounding numbers to the nearest 10 and 100.

Rounding Misconceptions

First, let’s talk about some misconceptions students can develop around the concept of rounding. For one, imprecise language can cause misunderstandings for our students. 

The use of phrases like “round up” and “round down” by themselves is very unclear.

For example, if I asked you to “Round 267 Up”, you could tell me 270 or 300. This is because you could be rounding 267 to the nearest 10 or the nearest 100. Who knows?

Children need precise language to determine what they are rounding to.

Next, we have to discuss rounding rules. These are huge culprits for causing conceptual confusion.

I know you’ve heard rhymes like: 

5 to 9 climb the vine, 0 to 4 slide to the floor

5 or above give it a shove, 4 or below let it go

5 or more let it soar, 4 or less give it a rest

There are so many of these types of rhymes and I admit I was guilty in the past. When I first started teaching, I used the rounding rhymes too. They were so easy to remember and my kids loved singing them.

So what’s the big deal?

The problem with rules and rhymes is that they focus solely on the digit. Many children end up falsely believing that when “rounding down” the digit in the tens place decreases by one when it actually remains the same.

It also takes away the place value aspect of rounding and makes it more of a trick.

So, what should you do instead?

Rounding-Numbers-Lesson

How to Teach Rounding to Third Graders

  • Ask questions and encourage student responses with precise language (i.e. “round 428 to the nearest 10” versus “round 428 up”)
  • Have students discuss which ten or hundred a number is nearest to and justify their thinking
  • Provide many different experiences with rounding 2-digit and 3-digit numbers and ask what patterns they see
  • Use visual models to help conceptualize rounding numbers
  • Explore how to use midpoints to determine whether a number is less, greater than, or equal to the midpoints on a number line

rounding-numbers-activity

Top Teaching Tips

  • Use models like number paths and number lines to help students visualize rounding numbers
  • Use tools like a modified hundreds chart to reinforce place value
  • Provide word problem examples so that students see skills in context

rounding-numbers-chart

Make Teaching Rounding a Breeze with these Done-for-You Rounding Lessons

If you want to teach rounding so that your students really get it, then you need UNIT 1 from the Simplified Math Curriculum: Place Value and Rounding .

You’ll have everything you need to teach rounding to the nearest 10 and 100 including, pre and post-assessments, lesson presentations, student math journals, and more! Learn more by clicking below.

Shop the Simplified Math Curriculum

rounding math synonym

Rounding and Place Value Unit

Done-for-you rounding and place value unit including: teaching slides, assessments, warm-ups, a student journal and more.

Plus, check out all the other math units included in the Simplified Math Curriculum. 

If you want to know how to teach rounding in third grade and found the ideas in this post helpful, please share them on Pinterest!

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Rounding & Estimation Word Problems

Related Pages Math Worksheets Lessons for Fourth Grade Free Printable Worksheets

Rounding Word Problems Worksheets

In these free math worksheets, students practice how to use rounding to estimate and check the answers to word problems.

How to use estimation or rounding? Estimation or rounding is a useful tool for checking answers because it allows you to quickly determine if an answer is reasonable or not.

Here are some steps you can follow to use estimation to check an answer: Step 1: Make sure you understand what you are being asked to find and what information you have been given. Step 2: Round any numbers given in the problem to the nearest whole number, or to the nearest ten, hundred, or thousand, depending on the level of accuracy needed. Step 3: Use mental math to perform calculations quickly. For example, if you need to add 23 and 45, round them both to 20 and 50 and add those instead. This will give you an estimate that is close to the actual answer. Step 4: Once you have an estimate, compare it to the actual answer you calculated. If the estimate is close to the actual answer, you can be confident that your calculation is correct. If the estimate is significantly different from the actual answer, you may need to review your work and make corrections.

By using estimation to check your answers, you can catch errors early and avoid making mistakes that could lead to incorrect results.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Rounding Word Problems Worksheets .

Rounding Word Problems Worksheet

More Rounding Word Problems Worksheets

Printable Round multi-digit number Worksheet #1 (Answers on the second page.)

Online Round multi-digit number Worksheet #1

Rounding Multi-digit Numbers to any place value

Rounding Word Problems Use your estimated answer for part a) to check your answer for part b).

  • For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie. a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding. b. Exactly how many cookies did Connie and Esther bake?
  • Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents. How many tickets were sold to parents, teachers, and students? a. About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate. b. Exactly how many tickets were sold to parents, teachers, and students?
  • From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens. a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011. (Round the addends to the nearest thousand to estimate.) b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
  • There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months? a. About how many hits (roud ro the nearest thousand) did the website have during January and February? b. Exactly how many hits did the website have during January and February?
  • On Sunday, 77,098 fans attended a New York Jets football game. The same day 3,397 more fans attended a New York Giants game than the Jets game. How many football fans watched the Jets and Giants play on Sunday? a. Round each number to the nearest thousand to find an estimate of how many fans there are. b. What was the actual number of fans who watched the games?

Related Lessons & Worksheets

Round to nearest 10 (2-digit) (eg. 45 -> 50) Round to nearest 10 (3-digit) (eg. 725 -> 730) Round to nearest 100 (3-digit) (eg. 651 -> 700) Round to nearest 10 or 100 (3-digit)

Round to nearest 100 (4-digit) (eg. 2,754 -> 2,800) Round to nearest 1000 (eg. 3,542 -> 4,000) Round to nearest 10, 100, 1000

Round the nearest thousands

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Picking the Buffalo Bills' best Round 1 draft target ahead of the 2024 NFL Combine

The Buffalo Bills have been perpetually on the brink of making it to the Super Bowl for the past half-decade.

Since Josh Allen led Buffalo to the playoffs in his second year, the Bills have been knocking on the door, appearing in the AFC Championship Game in the 2020 season, and having arguably the most epic of duels with the Kansas City Chiefs in the divisional round in 2022. 

While the Bills are on the cusp, they can only remain there for so long before it's no longer acceptable to just be close and in the Super Bowl conversation- they need to break through the door. 

View the original article to see embedded media.

Buffalo needs to get stronger this offseason in order to break that Kansas City Chiefs-shaped door down, and there will be no shortage of options for Buffalo in terms of who to take in the first round of the NFL Draft to make them a tougher unit. 

The Commanders should draft Oregon WR Troy Franklin with the 28th overall pick in the 2024 NFL Draft

This obviously depends on what the Bills do in the weeks leading up to the NFL Draft. However, even with the salary cap being $13 million higher than expected, it will be difficult for the Bills to make a move for someone like Mike Evans. With that said, they'll likely have to resort to drafting a receiver in the first round of the draft. If they do, Franklin should be their guy.

Franklin is coming off a year in which he caught 81 passes for just under 1,400 yards and 14 touchdowns. He averaged 3.32 yards per route run, and was far better than the average receiver against man-coverage with an 82.2 grade, per PFF.

He also averaged over 17 yards per catch, and that big-play ability is what the Bills need in their offense. His 558 deep receiving yards ranked 11th in the nation, and his 14 deep catches ranked eighth. 

How will Franklin fit into the Bills' offense?

The concerns about Franklin are mostly focused on his size. Not his height, his frame. He has that Devonta Smith-type build where he is tall and skinny. Franklin is listed as 6-foot-3 and 187 pounds. That said, it hasn't been a problem to this point, and he's been a consistent playmaker while at Oregon.

Buffalo needs a legitimate No. 2 receiver. Gabe Davis is a free agent, and it's very likely he will sign elsewhere. Khalil Shakir is a nice piece, but not as a second option in the offense. Getting a player of his caliber would move mountains for the offense, especially if he can be the downfield threat that the offense lacked in 2023. 

The Bills need a solidified No. 2 perimeter receiver that can also double as a reliable deep threat. Franklin is a guy who can win downfield, and become the go-to target in the option in the offense. Should he live up to his potential, he could be the final piece to a Super Bowl puzzle.

Related: Bills huge winners from massive salary cap increase

usatsi_21966671

12-year-old Round Rock boy starts nonprofit to develop tech, leadership skills

rounding math synonym

A 12-year-old Round Rock boy has formed a nonprofit to create opportunities for people to network in the tech, engineering and mathematics fields and to develop leadership and entrepreneurship skills.

Arjun Sharda said he started the nonprofit Technology, Leadership, Engineering, Entrepreneurship, Leadership and Mathematics in September because he could not find clubs or groups related to those interests at school. He was able to create the organization with the help of his mother, who serves as board director and secretary.

"If you don't have the opportunity (to develop your interests), you often give up on your passion," he said. "I made TLEEM because I wanted to give people a chance to develop their skills and explore what they are passionate about."

Sharda started programming on Roblox, an online game platform, at the age of 7.

Sharda formed the nonprofit while he was in the seventh grade in the Leander school district before his family moved to Round Rock and he began attending Texas Virtual Schools. After posting about the organization on online forums, he was able to expand the organization to India and New Jersey. So far, it has four chapters: one at Leander's Running Brushy Middle School , one in New Jersey and two in India that meet virtually.

Sharda said he hopes to expand to more countries and for the Leander chapter to serve the greater Austin area.

"There are so many talented people, middle school students and people abroad in undeveloped countries who don't have opportunities," he said. "I think that's a basic right, you should be able to have an opportunity, if you're passionate about it."

Sharda said discussions at each chapter are based on the interests of the members, and that most are now discussing artificial intelligence and its implications.

More: Round Rock student-led nonprofit helping people experiencing homelessness

"With AI and with all this technology coming up," he said, "I think that it's becoming our future."

In March, the nonprofit will launch a youth advisory board, where members across the globe can discuss issues affecting the tech and engineering fields and how they can solve them. Sharda said each state or country will have a representative between the ages of 10 and 18 on the board serving a one-year term.

He also wants to create a conference where companies can advertise job openings, especially for high school students. The conference would involve expert panels providing advice on how to be successful and innovative. Additionally, he wants to create a networking event where people can have the opportunities to grow the skills needed to be a leader.

"I don't think people find the importance of leadership, whether it's being a leader in the corporate world, or in your own personal life," Sharda said. "Technology, mathematics, they're important, but you need to have leadership and entrepreneurship as well. And I think it's very important that (this generation learns that.)"

IMAGES

  1. What is Rounding Numbers? Rules, Definition, Examples, Facts

    rounding math synonym

  2. Tips and Resources for Rounding

    rounding math synonym

  3. Rounding To Nearest Ten Worksheet

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  4. Do you need help rounding numbers?

    rounding math synonym

  5. Fourth Grade Parade: Rounding to Any Place Value

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  6. Rounding Worksheets to the nearest 10

    rounding math synonym

COMMENTS

  1. 50 Synonyms & Antonyms for ROUNDING

    Find 50 different ways to say ROUNDING, along with antonyms, related words, and example sentences at Thesaurus.com.

  2. What is another word for rounding

    What is another word for rounding? Need synonyms for rounding from our thesaurus that you can use instead. Contexts Present participle for to pass and go round (something) Present participle for to turn or bend away from a straight line or course Present participle for to form or shape into a ball Verb

  3. Rounding Definition (Illustrated Mathematics Dictionary)

    Definition of Rounding more ... 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. There are many ways to round. This is the most common method:

  4. ROUNDING Synonyms: 55 Similar and Opposite Words

    Synonyms of rounding rounding verb Definition of rounding present participle of round 1 as in rolling to form into a round compact mass carefully rounded the dough and placed it on a cookie tray Synonyms & Similar Words Relevance rolling balling agglomerating wadding lumping clumping bunching beading pelleting pelletizing sphering pearling

  5. Rounding Numbers

    Answer: 70 (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" Answer: 90 (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 ?

  6. Rounding

    the "round" family (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals

  7. What Is Rounding Numbers In Math? Explained For Elementary

    Rounding the decimals and then multiplying (0.7 and 0.8 both round to 1, and 1 x 1 = 1) helps to check the accuracy of the answer (5.6 is much larger than 1, so the multiplication could be recalculated to achieve 0.56, which is much closer to 1). Rounding in math in real life. Rounding is useful in real life.

  8. Rounding synonyms

    Another way to say Rounding? Synonyms for Rounding (other words and phrases for Rounding). Synonyms for Rounding. 281 other terms for rounding- words and phrases with similar meaning. Lists. synonyms. antonyms. definitions. sentences. thesaurus. words. phrases. Parts of speech. verbs. nouns. adjectives. Tags. curving. suggest new.

  9. What is Rounding Decimals? Definition, Examples, Facts

    Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy. We can round decimals to the nearest ...

  10. Rounding Numbers

    1. Find the desired place value. 2. Look at the number to the right. 3. If that number is 4 or less, round down. If it is 5 or higher, round up. 4. Remove the numbers to the right of the desired ...

  11. Rounding Numbers

    When it is less than 5 5, leave the rounding digit alone. Show step. 7 > 5, \; (7 7 > 5, (7 is greater than 5), 5), add 1 1 to the rounding digit, 5 5 will become 6. 6. Change all the digits to the right or the rounding place to 0 0 's. Show step. \underline {5}73 → 600 573 → 600 - change the 7 7 and 3 3 to 0 0 's.

  12. Another word for ROUNDING > Synonyms & Antonyms

    Synonyms 1. rounding noun. ['ˈraʊndɪŋ'] (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals. Synonyms rounding error miscalculation misreckoning Rhymes with Rounding expounding confounding compounding resounding rebounding impounding astounding abounding sounding pounding hounding founding

  13. Rounding Numbers

    Back to Top of Page 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

  14. Rounding Numbers

    Thus, rounding to hundredths leaves three numbers after the decimal point. For example, 0.5679 is rounded to 0.568and 6.3859is rounded to 6.386. Methods. There are several methods of rounding numbers. While rounding, we either round up or round down to indicate whether the number has increased or decreased after rounding. Half Round Up

  15. Rounding Numbers

    Therefore, this digit and all the digits to its right will change to 0 and the digit in the hundreds place will remain the same. Therefore, 321 is rounded to 300. This can be expressed as 321 ≈ 300. Example 2: Using the rules of rounding numbers, round 6 1 5 6 1 5 to the nearest whole number.

  16. ROUNDING Definition & Usage Examples

    Rounding definition: . See examples of ROUNDING used in a sentence.

  17. ROUND Synonyms: 278 Similar and Opposite Words

    Synonyms of round round 1 of 5 noun Definition of round 1 as in loop a circular strip a round of steel to reinforce the wooden beam Synonyms & Similar Words Relevance loop ring hoop circle band belt wreath coil eye collar girdle spiral curl whorl spire cincture twirl hank annulet becket furl 2 as in wheel

  18. The Best Way to Teach 3rd Grade Rounding

    Third graders are developing mathematical skills and learning to use them to solve problems. Rounding is an important basic number skill to teach these students. They are hands-on learners and appreciate the opportunity to work alone to evaluate their thinking. After introducing the concept of rounding, allow students ...

  19. Rounding whole numbers word problems (video)

    If the number in the tens place is between 5 and 9, you round up: - ones place becomes 0. - tens place becomes 0. - hundreds place goes up one. Examples: 3856. - tens place is 5, so round up to 3900. 9214. - tens place is 1, so round down to 9200.

  20. Math Rounding Games for 3rd Graders

    Rounding challenges many third-grade students. They often forget if the number is rounded up or down, which number is the deciding number and why rounding is important. Math games that focus on rounding give kids an alternative method of practicing the skill. These games work well during center time, as a warm-up ...

  21. How to Teach Rounding to 3rd Graders

    Ask questions and encourage student responses with precise language (i.e. "round 428 to the nearest 10" versus "round 428 up") Have students discuss which ten or hundred a number is nearest to and justify their thinking. Provide many different experiences with rounding 2-digit and 3-digit numbers and ask what patterns they see.

  22. Rounding Word Problems (printable, online, answers)

    Rounding Word Problems Worksheets. In these free math worksheets, students practice how to use rounding to estimate and check the answers to word problems. How to use estimation or rounding? Estimation or rounding is a useful tool for checking answers because it allows you to quickly determine if an answer is reasonable or not.

  23. Rounding Practice Questions

    The Corbettmaths Practice Questions on Rounding. Previous: Similar Shapes Area/Volume Practice Questions

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    Final Word The Bills need a solidified No. 2 perimeter receiver that can also double as a reliable deep threat. Franklin is a guy who can win downfield, and become the go-to target in the option ...

  25. 12-year-old Round Rock boy starts nonprofit to develop tech, leadership

    A 12-year-old Round Rock boy has formed a nonprofit to create opportunities for people to network in the tech, engineering and mathematics fields and to develop leadership and entrepreneurship skills.