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 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:
- 45 = 40 + 5
- 106 = 100 + 6
- 325 = 300 + 20 + 5
- 4367 = 4000 + 300 + 60 + 7
- 6.9 = 6 + 0.9
As you can see from above, each value of each digit is identified.
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.
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