Zero. For example, the additive inverse of 5 is -5, and 5 + (-5) = 0.
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The additive inverse for a number is its negative value. The sum of an integer and its additive inverse is zero. For the example (5), the additive inverse would be (-5).
-6. The additive inverse of a number is the number, that, when added to the original number, causes it to equal zero. You can kind of think of it like an opposite number. So, the additive inverse of 2 is -2, and -4 is 4.
For two numbers to be equidistant from zero, one must be the negative of the other. As one is the negative of the other, it is the additive inverse of that number. The sum of an number and its additive inverse is zero.
If we define "opposite" as the additive inverse, the sum is zero.
-6x