Additive Inverses is the proper term but the term zero pairs is also used.
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The (not th) definition (not defition) of opposite integers are integers that are equal in their [absolute] value but have different signs. So, for example, the opposite of +4 is -4, and the opposite of -5 is +5.
Opposite integers have the same magnitudes, but different signs. Examples of an opposite integers: 10 and -10, -298 and 298.
Because that is how the opposite of a number is defined.
0
will always be zero