## Algebra: A Combined Approach (4th Edition)

$-\frac{2}{3}$
The absolute value of a real number $a$, denoted by $|a|$, is the distance between $a$ and 0 on a number line. Therefore, $|a|=a$ if $a\gt0$, and $|a|=-a$ if $a\leq0$. Also, if $a$ is a number, then $-(-a)=a$. Therefore, $|-\frac{2}{3}|=-(-\frac{2}{3})=\frac{2}{3}$, and $-|-\frac{2}{3}|=-(\frac{2}{3})=-\frac{2}{3}$.