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


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


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:


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.

Base model


Place value model


Part-whole model


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 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.

Recognising three-digit numbers

Check here for the answer sheet

Activity 2

Recognising place value board game

Have a go at this fun board game from Twinkl.

Recognising place value board game


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

Guardians: Defenders of Mathematica

There's more to learn

Have a look at these other resources.

More lessons for Year 4 and P5
Primary Catch-Up Lessons
KS2 Maths
Primary games