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How is (0.0858585\ldots) written in bar notation?

Answer and explanation

Correct answer: \(0.0\overline{85}\)

After the decimal point, the first digit is 0 and it occurs only once. Then the block 85 repeats continuously as 85, 85, 85, ... . Hence, the bar is placed only over 85: \(0.0\overline{85}\). \(0.\overline{85}\) is incorrect because it starts repeating 85 immediately after the decimal point. Exam tip: identify the exact repeating block before placing the bar.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsBar NotationRational NumbersMathematicsClass 9 Mcq

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