Question

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

Answer 1

+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`