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Q: Is every irrational number a real number?

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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.

No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.

Yes.

a real number is a number that can be rational or irrational

Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.

Related questions

Every irrational number is a real number.

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, 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.

Yes every irrational and rational number is a real number.

No. It could be a rational or an irrational

No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.

Yes.

Yes.

Yes irrational numbers are real numbers that are part of the number line,

Yes, it does.

Yes.

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

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