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

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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.

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

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

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)

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.

Related questions

Terminating and repeating decimals are rational numbers.

No. Numbers with terminating or repeating decimals are rational.

Yes.

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.

Yes, they are.

Yes.

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

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

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.

Yes, terminating decimals are always rational numbers.

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

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.

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