# 3.07 Distributive property of multiplication

## Interactive practice questions

We want to use the distributive property to rewrite $2\times19$2×19 as easier multiplications.

a

This diagram shows how $2$2 groups of $19$19 objects can be split up.

Use the diagram to fill in the blank to make the statement true.

$2\times19=2\times\left(10+\editable{}\right)$2×19=2×(10+)

b

Fill in the blanks to show how $2$2 groups of $\left(10+9\right)$(10+9) can be split up into smaller multiplications.

$2\times\left(10+9\right)=2\times10+2\times\editable{}$2×(10+9)=2×10+2×

Easy
Less than a minute

We want to use the distributive property to rewrite $4\times16$4×16 as easier multiplications.

We want to use the distributive property to rewrite $6\times12$6×12 as easier multiplications.

Fill in the missing number to make the number sentence true.

### Outcomes

#### VCMNA183

Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies

#### VCMNA185

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems