The distributive law – multiplication over addition

We use the distributive law to simplify some multiplication problems. We will return to consider more of these when we consider the distributive law for multiplication over subtraction.

For example:

7 × 101 = 7 × (100 + 1) = 700 + 7 = 707

7 × 102 = 7 × (100 + 2) = 700 + 14 = 714

Question 3

Carry out these calculations. Use the distributive law.

a	3 × 52 =
b	5 × 101 =
c	6 × 82 =
d	8 × 24 =