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Question

Which of the following is an example of distributive property of multiplication over addition for rational numbers?


A

−14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]
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B

−14 × {23 + (−47)} = [14 × 23] − (−47)
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C

−14 × {23 + (−47)} = 23 + (−14) × −47
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D

−14 × {23 + (−47)} = {23 + (−47)} − 14
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Solution

The correct option is A
−14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]
We know that distributive property of multiplication over addition for rational numbers can be given as
a × (b + c) = a × b + a × c
Thus, −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)] is the right answer.

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