Philosophy and Philosophers
Numbers
Irrational Numbers

# Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

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A real number can be rational or irrational.

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No, some real numbers are rational.

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## Related Questions

All numbers are real. A number being irrational just means that is does not have a definite end.

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

No. All irrational numbers are real, not all real numbers are irrational.

A real number which is not a rational number is an irrational number.

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.

yes. an irrational number is any real number that is not a rational number

No. The sum of an irrational number and any other [real] number is irrational.

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.

No. 5 and 2 are real numbers. Their difference, 3, is a rational number.

No.A rational times an irrational is never rational. It is always irrational.

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.

Absolutely not. A real number is always either rational or irrational. The two are mutually exclusive.

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