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Which is the correct bar notation of (0.670808080\ldots)?

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Answer and explanation

Correct answer: \(0.67\overline{08}\)

After 67, the digits 08, 08, 08, \ldots repeat. Thus, 67 is the non-repeating part and 08 is the repeating block, so the notation is \(0.67\overline{08}\). In \(0.670\overline{8}\), only 8 repeats, so it does not show the repeated zeros. Exam tip: Write the decimal digits in groups first and identify the shortest block that repeats.

Related tags

Number SystemsDecimal RepresentationRecurring DecimalsBar NotationRational Numbers

Frequently asked questions

What is the correct answer to this question?

\(0.67\overline{08}\)

Why is this the correct answer?

After 67, the digits 08, 08, 08, \ldots repeat. Thus, 67 is the non-repeating part and 08 is the repeating block, so the notation is \(0.67\overline{08}\). In \(0.670\overline{8}\), only 8 repeats, so it does not show the repeated zeros. Exam tip: Write the decimal digits in groups first and identify the shortest block 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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