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Q: Why is terminating and repeating decimals a rational number?

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Yes. Any terminating decimal (as well as repeating decimals) is rational.

There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.

Yes. Any terminating decimal is a rational number. Any repeating decimal also.

Yes. All terminating decimals are rational.

Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.

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terminating

Yes. Any terminating decimal (as well as repeating decimals) is rational.

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

If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.

Yes - provided that you accept repeating zeros (for terminating decimals).

3501225 is a rational number. (It is even a natural number.) (Decimal representation of an irrational number has not terminating or repeating decimals.)

Decimal numbers that end or recur are known as terminating or repeating decimals. 0.75 is a terminating decimal. 0.4444 repeating is a repeating decimal.

If you consider terminating decimals as ones that end in repeating 0s, then the answer is "always".

Well yeah...that depends. Most of the decimals are rational. For eg:0.6 is a rational number. In this case it is a terminating decimal(because it has an end). Non-terminating(does not have an end) decimals are also rational provided that they are repeating for eg:0.6666666......... or 0.765765765765.......... Decimals can be irrational only if they are non-terminating AND non-repititive. for eg:0.657419665876572424.......... In this case it is not ending and also not repeating,therefore it is an irrational decimal.

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)

A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.

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