Question

The sum of Additive inverse

Answer 1

The additive inverse of a number is the value that, when added to the original number, results in zero. In other words, for any number \( x \), the additive inverse is \( -x \).

The sum of a number and its additive inverse can be expressed mathematically as:

\[ x + (-x) = 0 \]

This means that for any real number you choose, when you add it to its additive inverse, the result will always be zero.

For example:
- If \( x = 5 \), then the additive inverse is \( -5 \), and \( 5 + (-5) = 0 \).
- If \( x = -3 \), then the additive inverse is \( 3 \), and \( -3 + 3 = 0 \).

Thus, the conclusion is that the sum of a number and its additive inverse is always zero.