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Question

If a, b, c are integers, then (a ÷ b) ÷ c = a ÷ (b ÷ c)


A

True

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B

False

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Solution

The correct option is B

False


If a, b, c are integers, then (a ÷ b) ÷ c a ÷ (b ÷ c) unless c = 1

(8 ÷ 4) ÷ 2 = 2 ÷ 2 = 1

8 ÷ (4 ÷ 2) = 8 ÷ 2 = 4

which are not equal. Now lets replace 2 by 1

(8 ÷ 4) ÷ 1 = 2 ÷ 1 = 2

8 ÷ (4 ÷ 1) = 8 ÷ 4 = 2

This means that this propertly will hold only when c = 1


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