# Partitioning Numbers for KS2 Made Easy

If you have ever felt confused when your child has asked for help with partitioning numbers in KS2 maths, then this is the guide for you.

Partitioning numbers is a mathematical method for working out maths problems that include large numbers (two-digit numbers or higher), and it has been designed as an alternative to the column method. This makes it easier to complete the problem by splitting the larger values into smaller units. Read on to understand how partitioning works, when your child should use it and how to help teach this method.

## What is Partitioning?

Partitioning involves breaking large numbers into smaller more user-friendly units before performing the addition, subtraction, multiplication or division. An example of partitioning can be shown using the following sum: 89 + 37 = 126

Children are encouraged to partition each of these numbers into smaller, easy-to-handle numbers: 80 + 9 + 30 + 7

And then to group them in a way that makes it easier to complete the sum: (80 + 30 = 110) + (9 + 7 = 16) = 126

You can partition numbers for multiplication using the same method, simply split the large number into smaller units, and multiply both parts before adding them back together again. For example: 89 x 7 = 623

When partitioned, this sum becomes (80 x 7) + (9 x 7) = 560 + 63 = 623

Teaching maths in this way offers children different ways to visualise the problem, making it easier to do mental arithmetic with larger numbers. Children learn this maths method during Key Stage 1, where they are encouraged to break a two-digit number into tens and ones. Children in Key Stage 2 will then break down bigger units, turning three-digit numbers into hundreds, tens and ones - at this point, pupils must have a good understanding of place value, which is the value of each digit within a number (i.e. in 597, the 5 stands for 500, the 9 stands for 90).

## Place Value Games

There are lots of free resources online, including a huge range of games with place value lessons at their core. Playing a place value game is a great way to get children to practice this core maths technique, as well as being an opportunity for further teaching at home. Simply search 'games for place value' and choose from one of the many online resources!

Disclaimer

### Disclaimer

At Kidadl we pride ourselves on offering families original ideas to make the most of time spent together at home or out and about, wherever you are in the world. We strive to recommend the very best things, that are suggested by our community and are things we would do ourselves - our aim is to be the trusted friend to parents.

We try our very best, but cannot guarantee perfection. We will always aim to give you accurate information at the date of publication - however, information does change, so it's important you do your own research, double-check and make the decision that is right for your family.

Kidadl provides inspiration for everything from family days out to online classes, arts, crafts and science experiments. We recognise that not all activities and ideas are appropriate and suitable for all children and families or in all circumstances. Our recommended activities are based on age but these are a guide. We recommend that these ideas are used as inspiration, that ideas are undertaken with appropriate adult supervision, and that each adult uses their own discretion and knowledge of their children to consider the safety and suitability.

Kidadl cannot accept liability for the execution of these ideas, and parental supervision is advised at all times, as safety is paramount. Anyone using the information provided by Kidadl does so at their own risk and we can not accept liability if things go wrong.

Kidadl is supported by you, the users. When you buy through the links on our site we may earn a commission. As an Amazon Associate we earn from qualifying purchases.

All prices and product availability were correct at the time of publication.

We also link to other websites, but are not responsible for their content.
The text provides an explanation of partitioning numbers, a method used in primary school mathematics to simplify calculations with large numbers. It includes examples of partitioning for addition and multiplication, and a brief mention of place value and related educational games.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Partitioning Numbers for KS2 Made Easy

If you have ever felt confused when your child has asked for help with partitioning numbers in KS2 maths, then this is the guide for you.

Partitioning numbers is a mathematical method for working out maths problems that include large numbers (two-digit numbers or higher), and it has been designed as an alternative to the column method. This makes it easier to complete the problem by splitting the larger values into smaller units. Read on to understand how partitioning works, when your child should use it and how to help teach this method.

## What is Partitioning?

Partitioning involves breaking large numbers into smaller more user-friendly units before performing the addition, subtraction, multiplication or division. An example of partitioning can be shown using the following sum: 89 + 37 = 126

Children are encouraged to partition each of these numbers into smaller, easy-to-handle numbers: 80 + 9 + 30 + 7

And then to group them in a way that makes it easier to complete the sum: (80 + 30 = 110) + (9 + 7 = 16) = 126

You can partition numbers for multiplication using the same method, simply split the large number into smaller units, and multiply both parts before adding them back together again. For example: 89 x 7 = 623

When partitioned, this sum becomes (80 x 7) + (9 x 7) = 560 + 63 = 623

Teaching maths in this way offers children different ways to visualise the problem, making it easier to do mental arithmetic with larger numbers. Children learn this maths method during Key Stage 1, where they are encouraged to break a two-digit number into tens and ones. Children in Key Stage 2 will then break down bigger units, turning three-digit numbers into hundreds, tens and ones - at this point, pupils must have a good understanding of place value, which is the value of each digit within a number (i.e. in 597, the 5 stands for 500, the 9 stands for 90).

## Place Value Games

There are lots of free resources online, including a huge range of games with place value lessons at their core. Playing a place value game is a great way to get children to practice this core maths technique, as well as being an opportunity for further teaching at home. Simply search 'games for place value' and choose from one of the many online resources!

Disclaimer

### Disclaimer

At Kidadl we pride ourselves on offering families original ideas to make the most of time spent together at home or out and about, wherever you are in the world. We strive to recommend the very best things, that are suggested by our community and are things we would do ourselves - our aim is to be the trusted friend to parents.

We try our very best, but cannot guarantee perfection. We will always aim to give you accurate information at the date of publication - however, information does change, so it's important you do your own research, double-check and make the decision that is right for your family.

Kidadl provides inspiration for everything from family days out to online classes, arts, crafts and science experiments. We recognise that not all activities and ideas are appropriate and suitable for all children and families or in all circumstances. Our recommended activities are based on age but these are a guide. We recommend that these ideas are used as inspiration, that ideas are undertaken with appropriate adult supervision, and that each adult uses their own discretion and knowledge of their children to consider the safety and suitability.

Kidadl cannot accept liability for the execution of these ideas, and parental supervision is advised at all times, as safety is paramount. Anyone using the information provided by Kidadl does so at their own risk and we can not accept liability if things go wrong.

Kidadl is supported by you, the users. When you buy through the links on our site we may earn a commission. As an Amazon Associate we earn from qualifying purchases.

All prices and product availability were correct at the time of publication.

We also link to other websites, but are not responsible for their content.
user
The text provides an explanation of partitioning numbers, a method used in primary school mathematics to simplify calculations with large numbers. It includes examples of partitioning for addition and multiplication, and a brief mention of place value and related educational games.

TYPE: NO_QUESTION