Answer to Question #348058 in Algebra for Lesedi

Question

Multiply 62 by 35, firstly by breaking down 35 in its terms (30 + 5) and secondly by breaking down 35 in its factors (5 x 7). Show all your steps.

(a) 62 x (30 + 5)

(b) 62 x (5 x 7)

Answer 1

a)

$$62\times 35=62\times(30+5)=62\times 30+62\times5$$

$$=1860+310=2170$$

b)

$$62\times 35=62\times(5\times 7)=(62\times 5)\times7$$

$$=310\times 7=2170$$