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Earn +20 ptsQ: What describes the quotient of a nonzero rational number and an irrational number?
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Is the quotient of two nonzero numbers never a rational number?
The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
Is the product of a nonzero rational and a irrational number irrational?
Yes, always.
What is the product of a nonzero rational number and an irrational number?
The product will be irrational.
Is the quotient of two nonzero integers a rational number?
Yes.
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