# How do you simplify -|8 -2| - |1 - 6| +|3 -4| - |2 +5| ?

Oct 1, 2016

$- 17$

#### Explanation:

Just remember how the absolute value works: it always returns the positive version of the number it has inside itself. So, the absolute value of a positive number is the positive number itself, while the absolute value of a negative number is the positive version of that number. In formulas:

$| 24 | = 24$, and $| - 57 | = 57$

$- | 8 - 2 | - | 1 - 6 | + | 3 - 4 | - | 2 + 5 |$
$- | 6 | - | - 5 | + | - 1 | - | 7 |$
And now use what I said at the beginning: the absolute value of $6$ is $6$, the absolute value of $- 5$ is $5$, the absolute value of $- 1$ is $1$, and the absolute value of $7$ is $7$, and thus we have
$- 6 - 5 + 1 - 7 = - 17$