How do you simplify  - |-7| - |-2| + |-3| - |8| ?

Mar 30, 2016

$- 14$

Explanation:

The absolute value is the numbers distance from zero.
$\left\mid - 7 \right\mid = 7$
$\left\mid - 2 \right\mid = 2$
$\left\mid - 3 \right\mid = 3$
$\left\mid 8 \right\mid = 8$
Insert those values into the original expression and simplify from right to left.
$- 7 - 2 + 3 - 8$
$- 9 + 3 - 8$
$- 6 - 8$
$- 14$