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Subjects>Math>Algebra

Are repeating decimals rational or irrational numbers?

Wiki User

∙ 2012-05-16 23:20:12

Best Answer

Repeating decimals are rational numbers if there is a pattern, like 0.22222222.

If it is not a pattern, like 0.568964329, it is an irrational number.

Wiki User

∙ 2012-05-16 23:20:12

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Q: Are repeating decimals rational or irrational numbers?

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Continue Learning about Algebra

Are all non-terminating decimals irrational numbers?

No.0.33333... repeating = 1/30.428571... repeating = 3/70.11111... repeating = 1/90.090909... repeating = 1/11Those decimals are all non-terminating, but the numbers are all rational.

Is 1.24562... an irrational number?

Irrational numbers are non-repeating, non-terminating decimals. If your number repeats, it's rational. If it doesn't, it's irrational.

Is 1.777. rational or irrational and why?

1.777...(repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

What numbers fit in the irrational number catagorie?

Non-repeating, non-terminating decimals.

What are the 3 types of rational numbers?

If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.

Related questions

Are terminating and repeating decimals irrational numbers?

Terminating and repeating 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.

Is 23.8282828282 irrational?

No. Numbers with terminating or repeating decimals are rational.

Is non terminating but repeating decimals are irrational numbers?

If there's a repeating sequence then it's a rational number.

Is a rational number a repeating decimal?

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

How is a rational number that repeats different from a irratrional number that repeats?

Irrational numbers can not be repeating decimals. Any number that is a repeating decimal is rational.

Are non-terminating decimals rational numbers?

If they are non-terminating and there is a repeating pattern, then they are rational. If they are non-terminating and there is no repeating pattern, as in pi, they are irrational.

What are two characteristics of a rational and irrational number?

Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)

What kind of numbers are decimals with a repeating pattern of digits?

either irrational numbers, integers, integers, rational numbers, or whole numbers

Are reapeating decimals sometimes rational numbers?

Repeating decimals are ALWAYS rational numbers.

Are all non-terminating decimals irrational numbers?

No.0.33333... repeating = 1/30.428571... repeating = 3/70.11111... repeating = 1/90.090909... repeating = 1/11Those decimals are all non-terminating, but the numbers are all rational.

Are decimals irrational or rational numbers?

They can be both

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