# How do you simplify abs{+45} - abs{-96} - abs{-5} + abs{-36} - abs{+100}?

Jul 30, 2016

$- 120$

#### Explanation:

Note that: $| x | = x \mathmr{and} | - x | = x$

$\left\mid + 45 \right\mid - \left\mid - 96 \right\mid - \left\mid - 5 \right\mid + \left\mid - 36 \right\mid - \left\mid + 100 \right\mid$

=$45 - 96 - 5 + 36 - 100$

=$- 120$

Jul 30, 2016

$- 120$

#### Explanation:

The double | | is called absolute value. What is inside the | | is treated as a positive value.

So $| + 45 | - | - 96 | - | - 5 | + | - 36 | - | + 100 |$

becomes:

$45 - 96 - 5 + 36 - 100$

Which is: $- 120$
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As an add on; suppose we had $y = | x |$

In this case $y$ is always positive and we have as a graph: