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Definition of irrational number

Updated: 12/11/2022
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A rational number is a number that can be expressed as a ratio of two integers, the second of them being non-zero. An irrational number is one that cannot be so expressed.

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Q: Definition of irrational number
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Related questions

Is 3 over 4 an irrational number?

No, an irrational number by definition is a number that cannot be written as a fraction


True or false an irrational number can be written as a fraction?

False. an irrational number can not be written as a fraction. In fact, that is the definition of an irrational number.


Are all irrational numbers are surds?

Yes. The definition of a surd is "an irrational number"


What is a rational number number which is not a rational number?

There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.


How do you convert irrational number into fractional equivalent?

The formal definition of an irrational number is onethat can't be converted into a fractional equivalent.


What is the definition for a non-repeating decimal?

That's an irrational number.


What is a good definition of irrational numbers?

A real number that can not be expressed as a rational number.


Can an irrational number sometimes be expressed as a quotient of integers?

The definition of an irrational number is that it cannot be expressed as the quotient of 2 integers, so no.


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.


Why is 4.323223222 an irrational number if you can predict what comes next?

Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.


What is the definition of irrational?

A rational number is one that can be expressed as a ratio of two whole numbers (like a fraction). An irrational number is a real number that is not rational.


What is the definition of irrational number and a rational number?

A rational number is one that can be expressed as a ratio of two integers, the second of which is not zero. An irrational number is any real number that is not rational.