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Which decimal is recurring?

Answer and explanation

Correct answer: 0.6666\ldots

In 0.6666\ldots, the digit 6 repeats forever in a fixed pattern, so it is a recurring decimal. In 0.121221222\ldots and 0.1010010001\ldots, the lengths of the digit groups keep changing, while in 0.123456789\ldots the digits keep increasing; none has a fixed repeating block. Exam tip: in a recurring decimal, a digit or a fixed group of digits repeats indefinitely.

Related tags

Recurring DecimalsReal NumbersNumber SystemsIrrational NumbersDecimal ExpansionDecimal RepresentationMathematicsClass 9 Mcq

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