question_answer 12)

Find the product using suitable properties. (a) 738 x 103                       (b) 854 x 102                       (c) 258 x 1008             (d) 1005 x 168

Answer:

                (a) We have, 738 x 103 = 738 x (100 + 3) = 738 x 100 + 738 x 3 [by distributive property of multiplication over addition] = 73800 + 2214 = 76014 (b) We have, 854 x 102 = 854 x (100 + 2) = 854 x 100 + 854 x 2 [by distributive property of multiplication over addition] = 85400 + 1708 = 87108 (c) We have, 258 x 1008 = 258 x (1000 + 8) = 258 x 1000 + 258 x 8 [by distributive property of multiplication over addition] = 258000 + 2064 = 260064 (d) We have, 1005 x 168 = (1000 + 5) x 168 = 168 x (1000 + 5) = 168 x 1000 + 168 x 5 [by distributive property of multiplication over addition] = 168000 + 840 = 168840