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

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

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

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

84 - (62) ->84(62)

2222

Jan 9, 2017

The valur of this expression is 2222

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