question_answer 19)

Find using distributive property. (a) 728 x 101                       (b) 5437 x 1001                  (c) 824 x 25                          (d) 4275 x 125      (e) 504 x 35

Answer:

                (a) We have, 728 x 101 = 728 x (100 + 1) = 728 x 100 + 728 x 1 [by distributive property of multiplication over addition] = 72800 + 728 = 73528 (b) We have, 5437 x 1001 = 5437 x (1000 + 1) = 5437 x 1000 + 5437 x 1 [by distributive property of multiplication over addition] = 5437000 + 5437 = 5442437 (c) We have,   824 x 25 = 824 x (20 + 5) = 824 x 20 + 824 x 5 [by distributive property of multiplication over addition] = 16480 + 4120 = 20600 (d) We have, 4275 x 125 = 4275 x (100 + 20 +5) = 4275 x 100 + 4275 x 20 + 4275 x 5 [by distributive property of multiplication over addition] = 427500 + 85500 + 21375 = 513000 + 21375 = 534375 (e) We have, 504 x 35 = 35 x 504    [by commutative property] = 35 x (500 + 4) = 35 x 500 + 35 x 4 [By distributive property of multiplication over addition] = 17500 + 140 = 17640