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The additive inverse of a number is the opposite of that number, that is, the additive inverse of a number x is -x. The sum of a number and its additive inverse is always zero, that is, x + (-x) = 0. Related Terms: addition, number, opposites, sum, zero. English | Espaol.
The integers have the property that every integer has an additive inverse. a0 â Z is an. additive inverse of a â Z if. a+a0 = a0 +a = 0. We will now state some theorems which can be proven from the above properties that. we are assuming about the integers. The exercises in this section ask for proofs of the.