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Are all terminating and repeating decimals rational numbers and why?

Anonymous

∙ 10y ago

Updated: 4/28/2022

Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.

Wiki User

∙ 8y ago

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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.

Are negative decimals rational numbers?

Yes, negative decimal numbers are rational, as long as it is terminating or repeating.

Are rational numbers non-terminating decimals?

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

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)

Is 0.313131 a rational number?

Yes, it is a repeating decimal. Terminating and repeating decimals are rationals. Rational numbers can also be expressed as a fraction. 0.313131 is a repeating decimal.

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Related Questions

Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.

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.

Is 23.8282828282 irrational?

No. Numbers with terminating or repeating decimals are rational.

What can rational numbers be expressed as?

fractions or decimals

Are all terminating and repeating decimals rational numbers Explain?

Yes, they are.

Are negative decimals rational numbers?

Yes, negative decimal numbers are rational, as long as it is terminating or repeating.

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.

Are rational numbers non-terminating decimals?

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

Is non terminating but repeating decimals are irrational numbers?

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

Are terminating decimals always rational numbers?

Yes, terminating decimals are always rational numbers.

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)

Why are rational numbers terminating or repeating decimal?

Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.

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