# Apply commutative and associative laws to simplify multiplications

I can apply the commutative and associative laws to simplify multiplications of three or more numbers.

# Apply commutative and associative laws to simplify multiplications

I can apply the commutative and associative laws to simplify multiplications of three or more numbers.

## Slide deck

## Lesson details

### Key learning points

- Rearranging or grouping the factors in a multiplication can make it easier to solve.

### Common misconception

Pupils continue to work only from left to right in calculations, therefore making calculations more time-consuming.

Support pupils to find pairs of factors that are easy to multiply with. For example, finding factors that make a power of ten often make calculations easier as they can multiply by 10, 100 or 1000 for example at the end.

### Keywords

Efficient - Working efficiently means finding a way to solve a problem quickly whilst also maintaining accuracy.

Commutative - The commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is the same. It applies for addition and multiplication.

Associative - The associative law states that it doesn't matter how you group or pair values (i.e. which we calculate first), the result is still the same. It applies for addition and multiplication.

### 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

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## Worksheet

## Starter quiz

### 6 Questions

80 × 8

3 × 4

10 × 8

12 × 3