It is the negative of the number.
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There is only one set and it does have an additive identity.
The additive identity for rational numbers is 0. It is the only rational number such that, for any rational number x, x + 0 = 0 + x = x
Yes, it does.
The additive identity for rational, real or complex numbers is 0.
It is the additive identity for integers, rational numbers, real numbers, complex numbers.