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Philosophy and Philosophers
Irrational Numbers

Is an irrational number always a real numbeR?


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Answered 2012-04-04 23:47:13

All numbers are real. A number being irrational just means that is does not have a definite end.

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Related Questions

Is a real number always irrational?

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



What is a real number is also irrational number?

Every irrational number is a real number.


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.


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.



Can an irrational numbers be a real number?

yes. an irrational number is any real number that is not a rational number


Is an irrational number plus an irrational number rational?

No. The sum of an irrational number and any other [real] number is irrational.


Is every Real number an irrational number?

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.


Is an irrational number cannot be a real number?

Irrational numbers are real numbers.



Why is a real number always rational?

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


What is the real number?

a real number is a number that can be rational or irrational


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.


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).


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.



Does real number line correspond to an irrational number?

No. The real number line corresponds to rational AND irrational numbers.


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

No it cannot. Irrational means "not rational".



Is The difference of two real numbers always an irrational number?

No. 5 and 2 are real numbers. Their difference, 3, is a rational number.


Is an irrational number a real number?

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.


What number is a real number and an irrational number?

An irrational number is a number that doesn't stop and doesn't have a pattern.. Ex: 3.144734349... A real number is when you add 0 to whole number (1,2,3,4...)



How can you put rational and irrational in a sentences?

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


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