# How do you evaluate #abs(9-5)-abs(6-8)#?

##### 1 Answer

Dec 29, 2016

#### Explanation:

The

#color(blue)"absolute value"# is always#color(red)"positive".# This is because it gives a measure of how far a value is from zero.

#rArr|-4|=|4|=4# since - 4 and 4 are both 4 units from zero.

#rArr|9-5|-|6-8|=|4|-|-2|=4-2=2#