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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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It means that: a) The number is irragional, and b) the number is not zero. Since zero is rational, it isn't irrational, so saying that it is nonzero is really superfluous.

0.2 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

120 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No, it is a rational number, because all natural numbers are rational.

Negative rational numbers; Negative real numbers; Rational numbers; Real numbers. The number also belongs to the set of complex numbers, quaternions and supersets.

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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

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

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.

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