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If (x=0.0\overline{27}), what is its ordinary decimal form?

Answer and explanation

Correct answer: \(0.0272727\ldots\)

The bar is over 27 only. Therefore, the first digit after the decimal point is 0, followed by the repeating block 27: \(0.0272727\ldots\). In option C, both 0 and 27 are treated as repeating, which does not match the notation. Exam tip: Repeat only the digits covered by the bar.

Related tags

Number SystemsDecimal RepresentationRepeating DecimalsBar NotationRational NumbersMathematicsClass 9 Mcq

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