# Partition numbers to 1000

## Learning focus

Learn to recognise the place value of each digit through partitioning numbers up to 1000.

This lesson includes:

a catch-up quiz

A learning summary

two worksheets

# Quiz

Test your knowledge of partitioning numbers up to 1000 in this quiz.

# Learn

Place value helps us work out the value of a digit depending on its place or position in a number.

Place value can be expressed in terms of hundreds, tens and ones.

For example the number 333 can be represented like this:

hundreds | tens | ones |
---|---|---|

3 | 3 | 3 |

This chart shows how the number can be **partitioned** into hundreds, tens and ones.

## Partitioning numbers

Partitioning numbers is useful for when you want to add or subtract larger numbers.

As well as place value charts, you can show a partitioned number in different ways. Look at how else 333 can be partitioned:

300 + 30 + 3 = 333

Each of these models represents 3 hundreds, 3 tens and 3 ones.

## Example 1:

**How to partition 679**

To partition a number, you have to look at how many hundreds, tens and ones there are.

679 has 6 hundreds, 7 tens and 9 ones.

600 + 70 + 9 = 679

You could also say that 679 is made of 67 tens and 9 ones or 679 ones!

## Example 2:

**Which picture does not represent 523?**

Take a look at the pictures below. Can you see which one does **not** represent 523?

Work out what each picture is representing, first.

**A** - The part-whole model shows 500 + 20 + 3. That equals 523!

**B** - There are 5 hundreds, 3 tens and 2 ones in the place value counters. That creates the number 532.

**C** - The Base 10 shows 5 hundreds, 2 tens and 3 ones. That's 523.

So B, the place value counters, do not represent 523. Did you get it right?

# Practise

Practise understanding place value and partitioning numbers with these activities.

## Activity 1

**Worksheet - Place value**

Put your knowledge of place value and partitioning numbers to the test with this worksheet from White Rose Maths.

Check here for the answer sheet

# Play

Play **Guardians: Defenders of Mathematicia** to learn more and sharpen your skills on this topic.

# There's more to learn

Have a look at these other resources.