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What is multiplicative inverse of 0?

Updated: 4/28/2022
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11y ago

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There is no multiplicative inverse of 0. By definition, when you multiply a number by its multiplicative inverse, the product is 1. However, when you multiply 0 by anything, the product is 0. Those two statements could not logically co-exist if there were any multiplicative inverse of 0, so there is no such thing.

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Q: What is multiplicative inverse of 0?
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Which number has no multiplicative inverse?

0


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