1. Explain, how the following multiplication makes use of distributive property of
multiplication over addition.
728 x 435
TAKE YOUR TIME BUT 5MIN ONLY
Answers
Answer:
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Step-by-step explanation:
(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
Answer:
435(700+28)
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