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â¢ ADDITIVE INVERSE (noun) The noun ADDITIVE INVERSE has 1 sense: 1. (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5. Familiarity information: ADDITIVE INVERSE used as a noun is very rare. Dictionary entry details. â¢ ADDITIVE INVERSE (noun)
So if we look at integers mod 7, the additive inverse of 5, for example, would be 2 since 5+2=7 which is congruent to 0 in this field. The additive identity in the field of real or complex numbers is 0. Additive identity means the number you can add to any other number in order to get the same number back. Since -7 + 0 = -7, the additive identity of -7 is 0.