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Are real numbers rational and irrational?

Updated: 4/28/2022

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∙ 11y ago

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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.

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∙ 8y ago

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Continue Learning about Other Math

What is a set of rational and irrational numbers?

It is the set of Real numbers.

What is the set of rational and irrational numbers called?

Real NumbersThe real numbers.

Is a real number a rational number?

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.

Can all real numbers be irrational?

Irrational numbers are real numbers because they are part of the number line.

Is real number is always a rational number?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

Related questions

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.

All rational and irrational numbers are?

All rational and irrational numbers are real numbers.

How are rational and irrational numbers alike?

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.

Is the number 3 an integer rational irrational or a real number?

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

Why should a real number be rational or irrational?

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

Why does a real number have to be rational or irrational?

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

Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.

Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

Is real numbers are rational or irrational?

Real numbers are both. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

A set of numbers combining rational and irrational numbers?

The Real numbers

Which number system is made up of the rational and irrational numbers?

Real numbers are madeup of rational and irrational numbers

Are real numbers rational numbers?

Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.

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