Question

Using distributivity of multiplication over addition of whole numbers, find each of the following products:

(i) 736 × 103
(ii) 258 × 1008
(iii) 258 × 1008

Answer 1

(i) 736 × 103
= 736 × (100 + 3)
{Using distributivity of multiplication over addition of whole numbers}
= (736 × 100) + (736 × 3)
= 73600 + 2208 = 75808

(ii) 258 × 1008
= 258 × (1000 + 8)
{Using distributivity of multiplication over addition of whole numbers}
= (258 × 1000) + (258 × 8)
= 258000 + 2064 = 260064

(iii) 258 × 1008
= 258 × (1000 + 8)
{Using distributivity of multiplication over addition of whole numbers}
= (258 × 1000) + (258 × 8)
= 258000 + 2064 = 260064