SOLUTION: if 2 numbers are opposite of each other, are their reciprocals also opposite of each other?

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Question 189985: if 2 numbers are opposite of each other, are their reciprocals also opposite of each other?
Answer by Mathtut(3670) About Me  (Show Source):
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yes. if a is the number in question then -a is its opposite
:
a-a=0
:
reciprical of a is 1/a and of -a is 1/-a
:
1/a-1/a=0