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Earn +20 ptsQ: What positive number is the same as its reciprocal?
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What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
The reciprocal of a positive number is?
It should also be a positive number. Let x be the numerator and y be the denominator. So you have +x/+y, the reciprocal would be +y/+x.
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
What is the minimum value of sum of a positive real number and its reciprocal?
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
What number is the same as the reciprocal?
1
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