SOLUTION: If two numbers are opposite of each other, are their reciprocals also opposite of each other?

Algebra ->  Algebra  -> Inverses -> SOLUTION: If two numbers are opposite of each other, are their reciprocals also opposite of each other?       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 176475: If two numbers are opposite of each other, are their reciprocals also opposite of each other?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
3 and -3---->1/3 and -1/3
:
in general if -a is the opposite of a is -1/a the opposite of 1/a
:
if -a+a=0
:
then is(-1/a)+(1/a)= to zero -1+1/a=0/a=0
:
it appears as if the answer is YES