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A terminating decimal number is one whose decimal representation ends after a final number of digits. A non-terminating decimal number is one whose decimal representation goes on forever. It could be in the form of a number-string that repeats infinitely, for example, 2/11 = 0.18181818.... or one in which there is no pattern (all Irrational Numbers).
Analogous definitions apply to numbers expressed in other bases.
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What are non-terminating numbers?
They are real numbers. All irrational numbers are non-terminating. Also, any rational numbers which, in its simplest form has a denominator which contains a factor other than 2 or 5 (or their powers) is non-terminating.
Is an irrational a non-terminating decimal?
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.
What are all real numbers that are non-terminating and non-repeating?
Irrational numbers.
What are non-repeating and non-terminating decimals?
Irrational Numbers.
Are irrational numbers non-repeating and non-terminating decimals?
Yes.
