# How do you evaluate #abs31-abs(-51)+82#?

##### 1 Answer

Dec 3, 2016

#### Explanation:

The

#color(blue)"absolute value"# is always positive. This is because it gives a measure of how far a number is from zero, irrespective of it's sign.That is

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

#rArr|31|-|-51|+82#

#=31-51+82# Evaluate the expression from left to right.

#=-20+82=62#