Q: What is the union of rational and real numbers?

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The real numbers.

It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.

All rational numbers are real numbers.

Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.

The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.

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The real numbers.

The real numbers.

The real numbers.

There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.

Rational and irrational numbers

The real number are the union of rational and irrational numbers.

It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.

All rational numbers are real numbers.

No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.

The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.

It is the rational numbers.

Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.