Question

Find the values of each of the following using properties:

(i) 493 × 8 + 493 × 2

(ii) 24579 × 93 + 7 × 24579

(iii) 1568 × 184 − 1568 × 84

(iv) 15625 × 15625 − 15625 × 5625

Answer 1

(i) 493 × 8 + 493 × 2
= 493 × (8 + 2)
(Using distributivity of multiplication over addition of whole numbers)
= 493 × 10 = 4930

(ii) 24579 × 93 + 7 × 24579
= 24579 × (93 + 7)
(Using distributivity of multiplication over addition of whole numbers)
= 24579 × 100 = 2457900

(iii) 1568 × 184 − 1568 × 84
= 1568 × (184 − 84)
(Using distributivity of multiplication over subtraction of whole numbers)
= 1568 × 100 = 156800

(iv) 15625 × 15625 − 15625 × 5625
= 15625 × (15625 − 5625)
(Using distributivity of multiplication over subtraction of whole numbers)
= 15625 × 10000 = 156250000