#### Using the distributive law of multiplication over subtraction

For example:

- 7 × 99 = 7 × (100 − 1) = 700 − 7 = 693
- 7 × 98 = 7 × (100 − 2) = 700 − 14 = 686

#### Question 5

Calculate using the distributive law

a | |||
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b | |||

c |

#### Using the right distributive law of division over addition and subtraction

For example:

- 510 ÷ 5 = 500 ÷ 5 + 10 ÷ 5 = 100 + 2 = 102
- 819 ÷ 9 = 810 ÷ 9 + 9 ÷ 9 = 90 + 1 = 91

#### Question 6

Calculate using the distributive law.

a | 609 ÷ 3 = | ||
---|---|---|---|

b |

We can divide numbers that are close to a known multiple of the divisor.

For example:

- 7010 ÷ 7 = 7000 ÷ 7 + 10 ÷ 7 = 1000 + 10 ÷ 7 = 1001 rem 3
- 5988 ÷ 6 = 6000 ÷ 6 − 12 ÷ 6 = 1000 − 2 = 998

#### Question 7

Calculate using the distributive law.

a | |||
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b |