# additive identity

additive identitynoun

An element that in a given mathematical system leaves unchanged any element to which it is added.

## additive-identity

Noun

(*plural* additive identities)

- (algebra) An element of an algebraic structure, generally denoted
*0*, which is an identity for an additive operation (generally denoted*+*). That is,*x + 0 = 0 + x = x*for any*x*in the structure.