Not necessarily.
Negatives are called opposites, or additive inverses. Inverses is much more general. For example, the inverse of an exponent is a logarithm.
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A number and its multiplicative inverse have the same sign. So if one is negative, so is the other.
As far as positive numbers are concerned, the additive inverse of a positive number is a negative number with the same magnitude (i.e. the additive inverse of 5 is -5). It would be wrong to simply say that "negative" and "additive inverse" are correct, because the additive inverse of a negative number is a positive number.
No. The additive inverse of zero or a negative rational number is not negative.
The multiplicative inverse is the negative of the reciprocal of the positive value. Thus the multiplicative inverse of -7 is -1/7.
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