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A rational number can be expressed as a simple fraction, an irrational number cannot.

More formally:

A rational number is any real number that can be expressed as a ratio of two integers (positive or negative whole numbers).

(The denominator in the ratio cannot be zero.)

An irrational number cannot be expressed in that way.

The terms "rational" and "irrational" refer to the idea of "ratio".

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Q: How do you define whether a given number is rational or irrational?
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Related questions

Whether a rational number multiplied by an irrational number gives an irrational number?

rational * irrational = irrational.


Is 0.05 a rational or irrational number?

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It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.


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No.


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If it can't be expressed as a fraction then it is an irrational number


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