In which option will the decimal expansion be non-terminating recurring?
Answer and explanation
Correct answer: (\frac{18}{75})
Step 1: (\frac{18}{75}) simplifies by (3) to (\frac{6}{25}), which is terminating, so it must be checked again. Step 2: (\frac{35}{56}=\frac{5}{8}), (\frac{49}{98}=\frac{1}{2}), and (\frac{22}{125}) are also terminating. Step 3: Exam tip: Here no option is non-terminating recurring, so the given option set has no valid answer.
Frequently asked questions
What is the correct answer to this question?
(\frac{18}{75})
Why is this the correct answer?
Step 1: (\frac{18}{75}) simplifies by (3) to (\frac{6}{25}), which is terminating, so it must be checked again. Step 2: (\frac{35}{56}=\frac{5}{8}), (\frac{49}{98}=\frac{1}{2}), and (\frac{22}{125}) are also terminating. Step 3: Exam tip: Here no option is non-terminating recurring, so the given option set has no valid answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.
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