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Why is a decimal rational?

Updated: 10/17/2024
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8y ago

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Some decimals are rational, and some aren't. A decimal is rational when it terminates or repeats.

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8y ago
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8y ago

It is a number whose decimal representation terminates or, after a finite number of digits, starts repeating.

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Q: Why is a decimal rational?
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Related questions

Is a repeating decimal rational or irrational?

A repeating decimal is rational.


Is 8.56909 a rational or irrational decimal?

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

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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 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.


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

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