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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).
Is the product of a nonzero rational and a irrational number irrational?
Yes, always.
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
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.
Is the quotient of two nonzero numbers always a rational number?
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
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).
Is the product of a nonzero rational number and an irrational number rational or irrational?
It is always irrational.
What is product of a nonzero rational number and irrational number is?
It is irrational.
Nonzero rational number and in irrational number makes what?
An irrational number.
Is the product of a nonzero rational and a irrational number irrational?
Yes, always.
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
The product of nonzero rational number and an irrational number is irrational?
Yes.
Is the product of a nonzero rational number and an irrational number irrational?
Yes, always.
What is the product of a nonzero rational number and an irrational number?
The product will be irrational.
Should the quotient of an integer and a nonzero integer always be rational?
No.
