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

Irrational means not rational.

Q: The rational numbers are a subset of the irrational numbers?

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A set which contains any irrational or complex numbers.

They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.

0.1121231234(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

.36 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

4.1010010001 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

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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.

A set which contains any irrational or complex numbers.

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

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

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.

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

No, integers are a subset of rational 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.

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.

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.

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.