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Q: Is a non-terminating decimal always sometimes or never a rational number?

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Repeating decimals are always rational.

No.

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)

Always

Yes.

A terminating or repeating decimal is always rational. Whether it is positive or negative makes no difference. So the answer is no it is not always rational, such as -1/pi

They are always rational numbers.

Rational numbers can always be expressed as fractions.

Yes.

Yes.

No, it is always true

No, it is always true

No, it is always true.

Because a terminating decimal is a rational number that can also be expressed as a fraction

always

It depends on if it is continued or not. A terminal decimal is always rational (such as 0.5) If it has a repeating pattern, its also rational (0.3333333333333333). If you mean 0.50550555055550555550555555 etc.) this is not rational.

Repeating decimals are ALWAYS rational numbers.

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.

always!

Always

Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number

never

Zero by definition is always a rational number. It can sometimes be the cause of mathematical concepts being undefined. For example, a number can not be divided by zero. Dividing by zero is undefined.

A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.

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