Rima writes that \(\frac{7}{12}=0.58\) and that it is a terminating decimal. Which correction to her error is correct?
Answer and explanation
Correct answer: \(\frac{7}{12}=0.58\overline{3}\), इसलिए यह अनंत आवर्ती दशमलव है।
Dividing \(7\) by \(12\) gives \(0.58333\ldots=0.58\overline{3}\); since 3 repeats, the decimal is non-terminating recurring. \(0.58\) is only a truncated value. Exam tip: a repeated remainder produces repeating digits.
Frequently asked questions
What is the correct answer to this question?
\(\frac{7}{12}=0.58\overline{3}\), इसलिए यह अनंत आवर्ती दशमलव है।
Why is this the correct answer?
Dividing \(7\) by \(12\) gives \(0.58333\ldots=0.58\overline{3}\); since 3 repeats, the decimal is non-terminating recurring. \(0.58\) is only a truncated value. Exam tip: a repeated remainder produces repeating digits.
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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