The additive identity for a set S is a unique element, 0, in the set such that 0 + x = x = x + 0 for all elements x in the set.
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There is only one set and it does have an additive identity.
It is the additive identity.
The additive identity for rational, real or complex numbers is 0.
additive inverse is when in an equation there is a plus zero. you automatically know that anything plus 0 is still that number, so that is additive identity.
-27's additive inverse is 27 because when you add them together you get the additive identity, 0.