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No. Rational numbers are real as well. Although, there are infinitely more irrational numbers than there are rationals.

Q: Can all real numbers be irrational?

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The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. Not all real numbers are rational.

Real NumbersThe real numbers.

It is the set of Real numbers.

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

All irrational numbers are real, but not all real numbers are irrational.

All rational and irrational numbers are real numbers.

Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.

No. Irrational numbers form a proper subset of real numbers. That means that all irrationals are real so non-reals cannot be irrational.

Because irrational numbers are defined as all real numbers which are not rational.

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.

It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.

Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Yes.

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.

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.