Which of the following numbers is not a whole number but is rational?
Answer and explanation
Correct answer: \(\frac{3}{8}\)
\(\frac{3}{8}\) is rational because it can be expressed as a ratio of integers \(\frac{p}{q}\) with \(q\neq0\), and it is not a whole number (whole numbers are 0,1,2,...). Options B (6) and C (0) are whole numbers, so they are incorrect. Option D (\(\sqrt{2}\)) is irrational, so it is not a rational number. Exam tip: first check whether the number is an integer/whole number; if not, check if it can be written as \(p/q\) with \(q\neq0\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{3}{8}\)
Why is this the correct answer?
\(\frac{3}{8}\) is rational because it can be expressed as a ratio of integers \(\frac{p}{q}\) with \(q\neq0\), and it is not a whole number (whole numbers are 0,1,2,...). Options B (6) and C (0) are whole numbers, so they are incorrect. Option D (\(\sqrt{2}\)) is irrational, so it is not a rational number. Exam tip: first check whether the number is an integer/whole number; if not, check if it can be written as \(p/q\) with \(q\neq0\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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