# How do you simplify abs {+8} - abs{-13}+ abs{+25} - abs{-10}?

Aug 13, 2016

+10

#### Explanation:

Consider the following with regard to the $\textcolor{b l u e}{\text{absolute value}}$

$| + a | = a \text{ and } | - a | = a$

The absolute value gives a measure of how far a number is from the origin , with no consideration to direction.

Hence $| + 8 | = \textcolor{red}{8} , | - 13 | = \textcolor{red}{13} , | + 25 | = \textcolor{red}{25}$

and $| - 10 | = \textcolor{red}{10}$

substitute values into expression.

color(red)(8)-color(red)(13)+color(red)(25)-color(red)(10

now evaluate from left to right.

$\Rightarrow 8 - 13 + 25 - 10 = 10$