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terminating decimals and non-terminating repeating decimals are considered rational numbers.

pi is an example of an irrational number. this is the ratio of the circumference of a circle over the diameter

the value of pi is 3.1416....

it is non terminating and non-repeating, therefore it is considered as an irrational nimber

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7y ago
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13y ago

There are two kinds of decimals that are rational: terminating and repeating. Terminating decimals are simply decimals that end. For example, the numbers after the decimal point for 3.14, 5.5, and 424.827598273957 don't continue on forever; i.e. they terminate. Repeating decimals differ from terminating decimals in that the numbers after the decimal point continue on forever. For example, the numbers 3.333333333..., 10.010101010101..., and .0356811111111111..., where the "...'s" mean that the numbers continue on indefinitely, are all repeating decimals. The reason why both of these types of decimals are considered rational is because both types can also be expressed as a fraction of two integers. Non-repeating decimals, such as pi and the square root of two, can't be expressed as a fraction of two integers, and so therefore are irrational.

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9y ago

Terminating or infinitely recurring.

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Q: What kinds of decimals are rational numbers?
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Related questions

Are reapeating decimals sometimes rational numbers?

Repeating decimals are ALWAYS rational numbers.


Are terminating decimals always rational numbers?

Yes, terminating decimals are always rational numbers.


Are rational numbers non-terminating decimals?

No. Rational numbers are either terminating decimals or non-terminating BUT recurrent decimals.


Is a rational number a repeating decimal?

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


What are special kinds of decimals?

There are irrational numbers (like PI and e) that have infinitely many decimals which do not repeat and rational numbers (the quotient of two integers) which do eventually repeat.


Are recurring decimals considered irrational numbers?

No. Recurring decimals are rational numbers.


Are repeating decimals rational?

Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.


How is multiplying rational numbers like multiplying fractions and multiplying decimals?

Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.


Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.


When do you use decimals versus the fraction form of rational numbers?

All rational numbers can be converted from decimals to fractions as for example 0.75 = 3/4 but irrational numbers can not be converted from decimals to fractions.


Will repeating decimals always or never be rational numbers?

They will always be rational numbers.


Are terminating decimals always nether or sometimes a rational numbers?

They are always rational numbers.