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Earn +20 ptsQ: What pattern is there between a rational number and its reciprocal?
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Is the reciprocal of every rational number possible?
No. 0 is rational and has no reciprocal.
What is the rational number that is equal to its reciprocal?
1
What types of numbers can you multiply together to get a rational number?
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
Is the rational number -1 equal to its reciprocal?
Yes.
Rational number which has no reciprocal?
Zero, since you can't divide by zero.
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