The additive inverse of a number x is another number, y, as long as the sum of x + y equals zero. In other words, the additive inverse of x is equal and opposite in sign to it (i.e., y = -x or vice versa).
the additive inverse of a negative number.Using the same approach, if x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive.
It should be noted that the additive inverse of 0 is 0. Zero is the only real number which is equal to its own additive inverse. It is also the only number for which the equation x = -x is true.