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

##### 1 Answer

Oct 1, 2016

#### 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:

So, let's see what's inside your absolute values: your equation is

Doing the sums and differences inside the absolute values gives

And now use what I said at the beginning: the absolute value of