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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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2011-08-23 01:36:47
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Q: Is the quotient of two nonzero numbers never a rational number?
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Related questions

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.


Is the quotient of two nonzero integers a rational number?

Yes.


Why is the quotient of an integer divided by a nonzero integer always a rational number?

Because that is how a rational number is defined!


Is a quotient of an integer divided by a nonzero integer always a rational number?

Because that is how a rational number is defined!


Is the quotion of any two nonzero integers is a rational number true?

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


Is the quotient of an integer divided by a nonzero integer always be a rational number Why?

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


Is the quotient of an integer divided by a nonzero integer always a rational number?

Yes.


Can the quotient of an integer be divided by a nonzero integer a rational number always?

Yes, it is.


Should the quotient of an integer divided by nonzero integer always be a rational number?

Yes, by definition.


Is the quotient of two rational number always rational numbers?

yes


What is rational numbers are quotient of any two integers?

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


Can every rational number be written as a quotient?

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

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