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Subjects>Math>Basic Math

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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Q: Are all terminating and repeating decimals rational numbers and why?

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Continue Learning about Basic Math

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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