Explain why every integer has an additive inverse. Then identify the integer that its own additive inverse.?
So 1 and -1 are their own multiplicative inverse.
Every integer has an additive inverse because every integer has an opposite. 0 is it's own additive inverse because it is neither positive nor negative.
Two numbers are additive inverses if they add up to 0. In general n + (-n) 0 Since there exists a number -n for every integer n, every integer has an additive inverse. To find the number n that is it's own additive inverse: n + n 0 2n 0 n 0 Zero is its own additive inverse.
