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Which is the correct bar notation of (0.250606060\ldots)?

Answer and explanation

Correct answer: \(0.25\overline{06}\)

In the decimal, the block 06 repeats after 25: 0.25 06 06 06 \(\ldots\). Therefore, the bar must be placed only over the repeating block 06, giving \(0.25\overline{06}\). In option C, only 6 repeats, while option D incorrectly treats 506 as the repeating block. Exam tip: Write the decimal digits in groups first and identify the shortest block that repeats.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsBar NotationRational NumbersMathematicsClass 9 Mcq

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