How is (0.0747474\ldots) written in bar notation?
Answer and explanation
Correct answer: \(0.0\overline{74}\)
In \(0.0747474\ldots\), the first digit after the decimal point is \(0\), and then the block \(74\) repeats: \(0,74,74,74,\ldots\). Hence, the bar is placed only over \(74\), giving \(0.0\overline{74}\). In \(0.\overline{074}\), the entire block \(074\) would repeat, producing a different decimal. Exam tip: identify the shortest repeating block before placing the bar.
Frequently asked questions
What is the correct answer to this question?
\(0.0\overline{74}\)
Why is this the correct answer?
In \(0.0747474\ldots\), the first digit after the decimal point is \(0\), and then the block \(74\) repeats: \(0,74,74,74,\ldots\). Hence, the bar is placed only over \(74\), giving \(0.0\overline{74}\). In \(0.\overline{074}\), the entire block \(074\) would repeat, producing a different decimal. Exam tip: identify the shortest repeating block before placing the bar.
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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