# Understand Commutative Laws with Algebra

In this worksheet, students will manipulate algebraic terms using commutative laws

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:

#### Worksheet Overview

In this activity, we are going to look at  some rules we use with number and also with algebra.

They are called commutative laws - they sound painful, but they are really easy for you!

It simply means that you can swap around the calculation and still get the same answer.

### 2 + 3 = 3 + 2

Can you see they are swapped, but the answer is the same?

It works for multiplication

### 2 x 3 = 3 x 2

Again, these can be swapped around and the answer is the same.

It does not work for subtraction.

3 - 2 is not equal to 2 - 2

So subtraction is not commutative.

It does not work for division.

3 ÷ 2 is not equal to 2 ÷ 3

So division is not commutative.

Easy right?

You already know this law using numbers, but sometimes (especially with division) people write them the wrong way round.

Let's try some questions!

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