The additive inverse of a negative integer
is always negative
is always positive
is the same integer
zero
The additive inverse of a number is the number you add to it to get 0.
Let the negative integer be (a).
So, (a<0).
By definition, we need a number (x) such that
(a + x = 0).
Solving for (x):
(x = -a).
Since (a<0), multiplying by (-1) flips the sign:
(-a>0).
Therefore, the additive inverse of a negative integer is positive.
Example: If (a=-7), then its additive inverse is (-a=7) (positive).