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No, they are complementary sets. No rational number is irrational and no irrational number is rational.

Irrational means not rational.

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Q: The rational numbers are a subset of the irrational numbers?
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What is the relation between integers natural numbers whole numbers rational and irrational numbers?

Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.

Which set of numbers is not a subset of the rational numbers?

A set which contains any irrational or complex numbers.

Which of these sets of numbers is not a subset of the real numbers irrational integer rational and imaginary?

Imaginary numbers are not a subset of the real numbers; imaginary means not real.

What are the subset of the real number system?

Irrational Numbers, Rational Numbers, Integers, Whole numbers, Natural numbers

What are the hierarchy of real numbers?

Starting at the top, we have the real numbers. The rational numbers is a subset of the reals. So are the irrational numbers. Now some rationals are integers so that is a subset of the rationals. Then a subset of the integers is the whole numbers. The natural numbers is a subset of those.

What is a number that is a natural number and an irrational number?

Natural numbers are a part of rational numbers. All the natural numbers can be categorized in rational numbers like 1, 2,3 are also rational numbers.Irrational numbers are those numbers which are not rational and can be repeated as 0.3333333.

Why rational number is also a real number?

Real numbers are defined as the set of rational numbers together with irrational numbers. So rationals are a subset of reals, by definition.

Are the rational numbers a subset of integers?

No, integers are a subset of rational numbers.

Are there fewer rational numbers than irrational numbers?

For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.

Is every irrational number a real number and how?

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.

Are rational numbers is an irrational numbers?

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

If reality is rational is there also a reality in irrational?

Yes. In mathematics there are irrational numbers that are a subset of real numbers. In real life, there are actions taken that are irrational but the fact that they are taken makes them part of reality.