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What is the bar notation of (0.272727\ldots)?

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Answer and explanation

Correct answer: \(0.\overline{27}\)

In the decimal 0.272727…, the block 27 repeats continuously. Therefore, the bar is placed over the complete repeating block: \(0.\overline{27}\). Option \(0.2\overline{7}\) is incorrect because it represents 0.27777…. Exam tip: first identify the shortest block of digits that repeats.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsBar NotationRational Numbers

Frequently asked questions

What is the correct answer to this question?

\(0.\overline{27}\)

Why is this the correct answer?

In the decimal 0.272727…, the block 27 repeats continuously. Therefore, the bar is placed over the complete repeating block: \(0.\overline{27}\). Option \(0.2\overline{7}\) is incorrect because it represents 0.27777…. Exam tip: first identify the shortest block of digits that repeats.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.

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