 # Distributive property for multiplication

## Interactive practice questions

Use the fact that $9\times10=90$9×10=90 and $9\times7=63$9×7=63 to answer the following questions.

a

Fill in the blank to make the statement true.

$9\times17=9\times\left(\editable{}+7\right)$9×17=9×(+7)

b

Fill in the blanks to make the statement true.

$9\times\left(10+7\right)=9\times\editable{}+9\times\editable{}$9×(10+7)=9×+9×

c

Use the answers from part (a) and part (b) to find $9\times17$9×17.

Easy
Approx 2 minutes

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

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.

### Outcomes

#### NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

#### NA3-7

Generalise the properties of addition and subtraction with whole numbers