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Why is division not commutative?

Updated: 9/17/2019
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Wiki User

6y ago

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Formally, division is defined as multiplication of the inverse. For example, 4 / 2 is a short form for 4 * (2 ^ (-1)). So in general, a / b = a * (b ^ (-1)) and b / a = b * (a ^ (-1)), which suggests that a / b and b / a are not always equal (so division is not commutative).

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11y ago
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Q: Why is division not commutative?
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