Which of the following is the multiplicative inverse of 0?

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A 0
B 1
C -1
D Does not exist

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Answer: D. Does not exist

A multiplicative inverse x of 0 would need 0 x x = 1. But 0 times any number is 0, never 1, so 0 has no multiplicative inverse.

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Which of the following is the multiplicative inverse of 0?

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