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Yes.
Zero
No. The additive inverse of zero or a negative rational number is not negative.
negative of a number gives its additive inverse
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.