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"Math Salamanders Free Math Sheets"

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.

This page contains links to other Math webpages where you will find a range of activities and resources.

Each webpage has a short description of what the page is about and the math learning it covers.

If you cannot find what you are looking for, try searching the site using the Google search box on the right hand side on this 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!

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 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.

Examples

- 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 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.

Examples

- 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 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.

Examples

- 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 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 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.

Examples

- 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 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.

Examples

- 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 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.

Examples

- 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 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.

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 whole, tenth, or 2dp;
- 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 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.

Examples

- 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.

Examples

- 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 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.

Examples

- 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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