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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).

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Q: Is the quotient of two nonzero numbers never a rational number?

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Yes.

The definition of a rational number is the quotient of any two nonzero integers.

yes

If a number can be expressed as the quotient of two numbers (a Ã· b) and b is not zero, then it is a rational number.

This is the definition of a rational number. The set of rational numbers is usually written as a bold Q, and stands for the Italian quoziente, which means quotient.

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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.

Yes.

Because that is how a rational number is defined!

Because that is how a rational number is defined!

The definition of a rational number is the quotient of any two nonzero integers.

Yes, always. That is the definition of a rational number.

Yes.

Yes, it is.

Yes, by definition.

yes

If a number can be expressed as the quotient of two numbers (a Ã· b) and b is not zero, then it is a rational number.

Every number can be written as a quotient.Every rational number can be written as a quotient of whole numbers.

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