On the number line, the decimal number 0.6 lies at the same point as which fraction?
Answer and explanation
Correct answer: \(\frac{3}{5}\)
Converting 0.6 into a fraction gives \(0.6=\frac{6}{10}=\frac{3}{5}\). Therefore, 0.6 and \(\frac{3}{5}\) represent the same point on the number line. Option B, \(\frac{5}{3}\), is greater than 1, whereas 0.6 is less than 1. Exam tip: write the decimal over 10, 100, or 1000 according to its place value, then simplify.
Frequently asked questions
What is the correct answer to this question?
\(\frac{3}{5}\)
Why is this the correct answer?
Converting 0.6 into a fraction gives \(0.6=\frac{6}{10}=\frac{3}{5}\). Therefore, 0.6 and \(\frac{3}{5}\) represent the same point on the number line. Option B, \(\frac{5}{3}\), is greater than 1, whereas 0.6 is less than 1. Exam tip: write the decimal over 10, 100, or 1000 according to its place value, then simplify.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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