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Can all real numbers be irrational?

Anonymous

∙ 8y ago

Updated: 4/28/2022

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

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∙ 8y ago

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

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∙ 8y ago

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Q: Can all real numbers be irrational?

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Continue Learning about Other Math

Of integers real numbers rational or irrational numbers what group includes all others?

real

Are real numbers rational and irrational?

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.

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.

What is the set of rational and irrational numbers called?

Real NumbersThe real numbers.

What is a set of rational and irrational numbers?

It is the set of Real numbers.

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Related Questions

If a number is a real number then is it also an irrational number?

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

Are all irrational numbers real number?

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

All rational and irrational numbers are?

All rational and irrational numbers are real numbers.

Is this ture that all irrational numbers are real numbers?

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

Is every irrational number also real?

Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.

Are all unreal numbers irrational?

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

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

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

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.

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.

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 all irrational numbers real numbers?

Yes.

What real number is also irrational?

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.

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