What is the bar notation of (0.0909\ldots)?
Answer and explanation
Correct answer: \(0.\overline{09}\)
In 0.0909..., the two-digit block 09 repeats continuously. Therefore, the bar must be placed over the complete repeating block: \(0.\overline{09}\). Option \(0.0\overline{9}\) shows only 9 as recurring, so it does not represent the given repeating pattern correctly. Exam tip: First identify the shortest block of digits that repeats.
Frequently asked questions
What is the correct answer to this question?
\(0.\overline{09}\)
Why is this the correct answer?
In 0.0909..., the two-digit block 09 repeats continuously. Therefore, the bar must be placed over the complete repeating block: \(0.\overline{09}\). Option \(0.0\overline{9}\) shows only 9 as recurring, so it does not represent the given repeating pattern correctly. 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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