# How do you simplify #abs {+8} - abs{-13}+ abs{+25} - abs{-10}#?

##### 1 Answer

Aug 13, 2016

+10

#### Explanation:

Consider the following with regard to the

#color(blue)"absolute value"#

#|+a|=a" and " |-a|=a# The absolute value gives a measure of how far a number is from the origin , with no consideration to direction.

Hence

#|+8|=color(red)(8), |-13|=color(red)(13) ,|+25|=color(red)(25)# and

#|-10|=color(red)(10)# substitute values into expression.

#color(red)(8)-color(red)(13)+color(red)(25)-color(red)(10# now evaluate from left to right.

#rArr8-13+25-10=10#