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Yes. If a decimal terminates, then the number can be represented as a fraction because each decimal position represents a specific denominator. (tenths, hundredths, etc). If it repeats, that's an indication of integer division with a remainder, which can be rewritten as an integer over an integer.

Non-terminating, not repeating decimals are irrational. However, that is not a practical test, because it would take you an eternity to examine a single irrational number. (It could terminate after the quadrillionth digit, or the first Google of digits could repeat.)

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Related Questions

Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.


What are terminating and repeating decimals?

Irrational Numbers.


Numbers that cannot be expressed as terminating or repeating decimals?

irrational numbers


Is 23.8282828282 irrational?

No. Numbers with terminating or repeating decimals are rational.


What are non-repeating and non-terminating decimals?

Irrational Numbers.


What type of decimals are irrational numbers?

Non-terminating, non-repeating decimals.


Are irrational numbers non-repeating and non-terminating decimals?

Yes.


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 non terminating but repeating decimals are irrational numbers?

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


What numbers fit in the irrational number catagorie?

Non-repeating, non-terminating decimals.


Are non-repeating decimals irrational numbers?

No because non-repeating decimals may be terminating.But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500....Then all non-repeating decimals are irrational.


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)

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