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Because Irrational Numbers are defined as all real numbers which are not rational.

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Q: Why does a real number have to be rational or irrational?
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Related questions

Can a real number that is not a rational number is a?

A real number which is not a rational number is an irrational number.


Is a real number always irrational?

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


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.


Are there real number that are not rational number?

A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).


How can you put rational and irrational in a sentences?

An irrational number is a real number that is not rational.


If a real number is a rational number can it be an irrational number?

No it cannot. Irrational means "not rational".


Can a real number that is not a rational number be an irrational number?

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.


Can 5.85 be a irrational?

A rational number cannot also be irrational. A real number is either rational, or it is irrational.


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 that is not a rational number is a?

irrational number


Is three an irrational number rational number both rational and irrational or neither rational or irrational?

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.


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.