SOLUTION: the absolute value of any number is the same as the absolute value of its additive inverse. true or false? and why or why not?

Algebra ->  Absolute-value -> SOLUTION: the absolute value of any number is the same as the absolute value of its additive inverse. true or false? and why or why not?      Log On


   



Question 398316: the absolute value of any number is the same as the absolute value of its additive inverse. true or false?
and why or why not?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
True. The absolute value gives the distance of a number, whether positive or negative, from 0. Since a number and its additive inverse are equidistant from 0, they should have the same absolute value.