Which of the following is true when properties of division is applied?

40 ÷ (4 + 3) = (40 ÷ 4) + (40 ÷ 3)

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40 ÷ (4 ÷ 3) = (40 ÷ 4) ÷ 3

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40 ÷ 4 = 4 ÷ 40

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None of the above

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Solution

The correct option is D None of the above
Commutative, associative and distributive property does not hold for division of integers.
Here, 40 ÷ (4 + 3) = (40 ÷ 4) + (40 ÷ 3) is an application of distributive property for division over multiplication.
40 ÷ (4 ÷ 3) = (40 ÷ 4) ÷ 3 is an application of associative property for division.
40 ÷ 4 = 4 ÷ 40 is an application of commutative property for division.
So, none of these are true

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