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A rational number is a number that can eb expressed as a ratio of two numbers. 1/3 is a rational number, with a decimal representation of 0.333333 ... .

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Q: Why is a repeating decimal a rational number?
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Related questions

Can a rational number be repeating decimal?

Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...


What is non terminatin repeating decimal?

A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.


Is 8.2 a rational number?

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


Is every rational number a repeating decimal?

No. A rational number is any terminating numeral. A repeating decimal is irrational.


Is a repeating decimal sometimes a rational number?

Repeating decimals are always rational.


Can every rational fraction be written as a repeating decimal?

Any rational number is either a repeating decimal, or a terminating decimal.


Can a rational number be a repeating decimal or a decimal?

Yes.


Is a rational number a repeating decimal?

All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.


Is 2.33333333333 a rational number?

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


Is 0.454545... an irrational number?

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


A repeating decimal is an irrational number?

Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number


What is Rational number as a decimal?

It is either a terminating decimal or a repeating decimal.