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

Jul 8, 2016

$1$

#### Explanation:

The long bars that surround numbers are absolute values. Absolute values are the distance from $0$ to that number. They always remain positive, because only the distance, not the direction, is taken into account when absolute value is measured on the number line.

A simple way to remember the concept without necessarily understanding it: the absolute value of any number is always that number, positive. For example:

$\left\mid - 6 \right\mid = 6$

or

$\left\mid 100 \right\mid = 100$

$\left\mid 2 \right\mid + \left\mid - 6 \right\mid - \left\mid 3 \right\mid - \left\mid - 4 \right\mid$
$2 + 6 - 3 - 4$
$1$