Rounding numbers

Part of MathsRounding and estimatingYear 3Year 4Year 4

Rounding numbers

A girl stands in the centre of the image, above her there is the number 27 with an arrow pointing to the right at the number 30.

When you do not need to speak or write about exact quantities or measures, learning to round numbers to 10, 100 or 1,000 can be useful.

It can make calculations easier and it also helps when you are estimating a number or quantity.

A girl stands in the centre of the image, above her there is the number 27 with an arrow pointing to the right at the number 30.
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Activity: How to round numbers

Complete this interactive activity to understand how to round numbers. Then put your knowledge to the test.

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Rounding numbers to 10

You can use a number line to help work out whether to round a number up or down.

Let's look at rounding 44 to the nearest 10.

First put 44 on the number line, then add the closest multiples of ten.

40 and 50 are the closest multiples of ten to 44.

A number line from 40 to 50 going up in steps of 1. The number 44 is highlighted.

44 is 4 away from 40 and 6 away from 50.

44 is closer to 40 and so it is rounded down to 40.

A number line from 40 to 50 increasing in increments of 1. The number 44 is highlighted. Above number 40 to 44 there are arches showing 4 steps. From 50 back to 44 there are arches showing 6 steps.

When numbers have a 5 in the ones column, you always round up to the highest ten.

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Rounding to 100 and 1,000

When rounding to the nearest 100, numbers with 50 in the tens column are rounded up to the next hundred.

For example, 450 would round up to 500. Numbers below 50 are rounded down.

A number line from 400 to 500 increasing in increments of 50. Within the middle increment 450, the middle number 5 is highlighted. There is a line between 450 and 500, underneath the line the words 'rounded up' are present.

When rounding to the nearest 1,000, numbers with 500 in the hundreds column are rounded up to the next thousand.

For example, 1,500 would round up to 2,000. Numbers below 500 are rounded down.

A number line from 1000 to 2000 increasing in increments of 500. Within the middle increment 1500, the number 5 is highlighted. There is a line between 1500 and 2000, underneath the line the words 'rounded up' are present.
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Example 1

A number line from 20 to 30 increasing in intervals of 1.

How many numbers on this number line round up to 30?

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Example 2

On the left here are two one hundred squares made of blocks. In the middle there are 3 stacks of 10 blocks. On the right there are 4 individual blocks.
  • What number is represented by these blocks?

  • What number do you get when you round it to the nearest 100?

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Example 3

9445

What is 9,455 rounded to the nearest 1,000?

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Play Guardians: Defenders of Mathematica to get ready for SATs. game

In this game, use the times tables and more maths skills to defeat monsters and reclaim the Kingdom.

Play Guardians: Defenders of Mathematica to get ready for SATs.
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More on Rounding and estimating

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