Free Maths Worksheet - Partitioning Numbers (Hundreds, Tens and Units)

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What is Partitioning Numbers?

Teaching children to partition numbers is part of the Maths Primary National Curriculum.
KS1 and KS2 children who can partition numbers will be able to add, subtract, multiply and divide numbers more easily. They will be able to work out maths problems using mental methods and written methods.

Partitioning a number is a concept commonly taught to children in schools to help them understand how a number can be broken down into smaller parts or components. This concept is fundamental for developing number sense and arithmetic skills.

Partitioning a number basically means splitting it up, so that the value of each digit is identified. It helps children understand place value, particularly useful when they begin to use larger numbers.

Partitioning a number involves looking at each digit in the number e.g. is it in the units, tens, hundreds, thousands column etc. This can be explained to children using an abacus, cubes (e.g. tens sticks) or by an using addition sum.

How To Partition A Number

Here are some examples of how numbers can be partitioned:

  1. 31 = 30 + 1
  2. 45 = 40 + 5
  3. 106 = 100 + 6
  4. 325 = 300 + 20 + 5
  5. 4367 = 4000 + 300 + 60 + 7
  6. 6.9 = 6 + 0.9

As you can see from above, each value of each digit is identified.

Partitioning Example

Imagine you have a number, let's say 15. To partition this number means to break it down into smaller parts or components. Children typically learn different ways to express a number by adding or combining smaller numbers.

For example, to partition 15:

  1. Basic Addition:
    • 15 can be partitioned into 10 + 5.
    • So, instead of thinking about 15 as one whole, you can think of it as 10 plus 5.
  2. Place Value Partitioning:
    • 15 can also be partitioned into 10 + 5 by recognising the place value. The "1" in 15 represents 10, and the "5" represents 5 units.
  3. Number Bonds:
    • Another way to partition 15 is by using number bonds. In this case, you might think of 15 as the sum of 10 and 5 or 8 and 7, for example.

Once children are familiar with the idea that each digit in a number has a particular value, that understanding can then be built on. As children develop their maths skills, they can use the concept of partitioning numbers to add, subtract, multiply and divide larger numbers. This is then built on further to help children develop their maths skills using more formal, written methods of adding etc.

It's a way of breaking down a number into smaller, more manageable parts to make mathematical thinking and problem-solving easier and more accessible.

Free Maths Worksheets - Partitioning Numbers

Click on the download link at the bottom of this page for a free Teach My Kids maths partitioning numbers worksheet.

This worksheet can be used by children to practise and reinforce partitioning three digit numbers.
It includes partitioning and finding the value of:

  • hundreds, tens and units

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Download Partitioning Numbers (Hundreds, Tens and Units) Worksheet

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