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.
Frequently asked questions
What is the correct answer to this question?
\(0.25\overline{06}\)
Why is this the correct answer?
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.
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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