# Explain that addition is commutative

I can explain that addition is commutative.

# Explain that addition is commutative

I can explain that addition is commutative.

## Lesson details

### Key learning points

- When the order of the addends is changed, the sum remains the same.
- Addition is commutative because the addends can be combined in any order.
- An equation can be written to show that when the order of the addends is changed, they remain equal.

### Common misconception

Children may not recognise the same equation when the order of the addends is swapped. They may also think of the equal sign as meaning' the answer is' rather than showing equivalence.

Demonstrate writing equation in different order to that seen in picture or present as mistake to discuss. Refer to equals sign as ‘is equals to’ rather than ‘makes’ or ‘is’ and vary its position in equations to draw attention to its meaning.

### Keywords

Addend - Any of the numbers that are added together.

Sum - The result of adding two or more numbers.

Commutative - Addition is commutative because if order of the addends are change, the sum remains the same.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

Loading...

## Starter quiz

### 6 Questions

## Exit quiz

### 6 Questions

1 + 8 = 9

0 + 4 = 4

2 + 7 = 9