Question

In each of the following, fill in the blanks, so that the statement is true:

(i) (500 + 7) (300 − 1) = 299 × ...

(ii) 888 + 777 + 555 = 111 × ....

(iii) 75 × 425 = (70 + 5) (... + 85)

(iv) 89 × (100 − 2) × 98 × (100 − ....)

(v) (15 + 5) (15 − 5) = 225 − ....

(vi) 9 × (10000 + ...) = 98766

Answer 1

(i) (500 + 7) (300 − 1) = 507 × 299 = 299 × 507 (Commutativity)

(ii) 888 + 777 + 555 = 111 (8 + 7 + 5) = 111 × 20 (Distributivity)

(iii) 75 × 425 = (70 + 5) × 425 = (70 + 5) (340 + 85)

(iv) 89 × (100 − 2) = 89 × 98 = 98 × 89 = 98 × (100 − 11) (Commutativity)

(v) (15 + 5) (15 − 5) = 20 × 10 = 200 = 225 − 25

(vi) 9 × (10000 + 974) = 98766