Q.9. Using properties of integers find 75x73+25x75
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Answer:
7350
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Step-by-step explanation:
distributive property of multiplication over addition is the property being used.
this property states that (a x b) + (c x a) = a(b+c)
here, the common number, a, is 75. b and c are 73 and 25 respectively.
so, we can rewrite the question and solve like this:
75x(73+25)
= 75 x 98
now, we can use another property - distributive property of multiplication over subtraction
98=100-2
so, we rewrite the question as:
= 75 x 100 - 2
= (75 x 100) - (75 x 2)
= 7500 - 150
= 7350
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