The Inverse Property of Addition states that for every real number ( a ), there exists another real number ( -a ) such that:

$$a + (-a) = 0$$

Where:

• (a) = is a real number

In other words, the additive inverse of a number is the number that, when added to the original number, results in zero.

Examples:

• The additive inverse of 5 is -5, because ( 5 + (-5) = 0 ).
• The additive inverse of -7 is 7, because ( -7 + 7 = 0 ).
• The additive inverse of 0 is 0, because ( 0 + 0 = 0 ).

This property is fundamental in algebra and is used when solving equations, simplifying expressions, and working with negative numbers.

Latex

a + (-a) = 0