Work Step by Step
Two numbers that are the same distance from 0 but lie on opposite sides of 0 are called opposites of each other. Furthermore, we know that the sum of a number $a$ and its opposite $-a$ is 0. We know that $|-6|=-(-6)=6$. Therefore, the opposite of $|-6|$ is $-6$, because $|-6|+(-6)=6-6=0$.