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4-37.

Simplify each of the following absolute value expressions.

Absolute value is the distance a number is from zero on the number line in either direction.
We use the special symbol shown below to indicate the absolute value of any number $x$.

The absolute value of any number is non-negative.

$|-3|=3\text{ and }|3|=3$

1. $|-15|+|-26|$

$\begin{array}{l} \left\lvert -15 \right\rvert + \left\lvert -26 \right\rvert\\ \quad \; \; \; \downarrow \qquad \quad \; \; \downarrow\\ \quad \; \; 15 \; + \quad \; \; 26=41 \end{array}$

1. $-|-40|$

1. $|0.5|+|-1\frac{1}{2}|$