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Q: Are terminating and repeating decimals irrational numbers?

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Irrational Numbers.

Non-terminating, non-repeating decimals.

As written, it isn't. Irrational numbers are non-repeating, non-terminating decimals. If your number terminates, it's rational. If it doesn't, it's irrational.

Not only non-terminating, but also non-repeating. 0.333... recurring is non-terminating but it is rational. In fact, most rational numbers are non-terminating decimals.

Irrational numbers are precisely those real numbers that cannot be represented as terminating or repeating decimals. Log 216 = 2.334453751 terminates and is therefore not irrational.

Related questions

Irrational Numbers.

irrational numbers

No. Numbers with terminating or repeating decimals are rational.

Irrational Numbers.

Non-terminating, non-repeating decimals.

Yes.

They are if they go on forever without terminating or repeating.

No. Irrational numbers are non-terminating decimals.

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.

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

Non-repeating, non-terminating decimals.

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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