How do you simplify #abs{-28} + abs{+3} -abs {-23} + abs{+76} - abs{+62}#?

2 Answers
Jan 9, 2017

See full simplification process below

Explanation:

First, evaluate each of the terms within the absolute value functions. The absolute value function takes any negative or positive number and transforms it into its positive form:

#abs(-28) + abs(+3) - abs(-23) + abs(+76) - abs(+62) ->#

#(28) + (3) - (23) + (76) - (62) ->#

#31 - (23) + (76) - (62) ->#

#8 + (76) - (62) ->#

#84 - (62) ->#

#22#

Jan 9, 2017

The valur of this expression is #22#

Explanation:

To write this expression without absolute value signs you have to remember that:

#abs(x)={(x,x>=0),(-x,x<0):}#

In other words if you leave the absolute value sign you change the negative number to positive, and leave positive number unchanged.

#|-28|+|+3|-|-23|+|+76|-|+62|=#
#=28+3-23+76-62=22#