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A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number.

Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.

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Q: Why decimal is considered as rational number?
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Related questions

Is a decimal a considered a real number and a rational number?

Decimals are real. They can be rational or irrational.


Is 8.2 a rational number?

Yes. Any terminating decimal is a rational number. Any repeating decimal also.


If it doesn if a decimal doesn't terminate or repeat is it still a rational number or not?

No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.


Is decimal a rational number?

It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.


is 0.313111331 a rational or irrational number?

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.


Is 0.454545... an irrational number?

No. It is a rational number. Any repeating decimal or terminating decimal is rational.


is 27.5 rational or irrational?

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.


Is 7.11 rational or irrational?

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)


Is 2.33333333333 a rational number?

Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.


What are the difference between decimal in rational and decimal in irrational?

A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction


Is 0.05 a rational or irrational number?

It is a rational number.


A decimal that can be written into a fraction is called?

The decimal representation of a rational number.