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3*0 = 0

Dividing both sides by 3 gives 0 = 0/3

and therefore 0/3 is defined and is equal to 0.

However, there is no number, k, such that k*0 = 3 and so division by 0 is not defined.

If there were such a number k, then you could divide both sides by k to give 0 = 3/k. But there is no such k.

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10y ago

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Q: Why you can divide 0 by 3 but not 3 by 0?
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