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Earn +20 ptsQ: How Every nonzero integer has a multiplicative inverse as an integer?
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Does every integer have a multiplicative inverse?
No, it does not.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
Does every integer have an additive inverse?
Yes.
Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
What an multiplicative inverse property and real number?
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.
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