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

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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
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in general if -a is the opposite of a is -1/a the opposite of 1/a
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if -a+a=0
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then is(-1/a)+(1/a)= to zero -1+1/a=0/a=0
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it appears as if the answer is YES