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It is because a/b does not necessarily equal b/a. If this were true, then a2 = b2, which implies a = +/- b, which does not have to be true.

Likewise, subtraction is not commutative, because a-b does not have to be equal to b-a. Here, subtraction is anticommutative because a-b = -(b-a).

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Q: Why division is not commutative property?
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