Which of the following numbers is both a natural number and a rational number?
Answer and explanation
Correct answer: \(\frac{9}{3}\)
\(\frac{9}{3}=3\). The number 3 is a counting (natural) number and can be written as \(\frac{3}{1}\), so it is rational as well. Option C (\(-\frac{5}{2}\)) is rational but negative, so not a natural number. Options B (\(\sqrt{10}\)) and D (\(\pi\)) are irrational and not rational. Exam tip: natural numbers are positive integers (1,2,3,...) and a rational number can be expressed as \(\frac{p}{q}\) with integers p,q and \(q\neq0\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{9}{3}\)
Why is this the correct answer?
\(\frac{9}{3}=3\). The number 3 is a counting (natural) number and can be written as \(\frac{3}{1}\), so it is rational as well. Option C (\(-\frac{5}{2}\)) is rational but negative, so not a natural number. Options B (\(\sqrt{10}\)) and D (\(\pi\)) are irrational and not rational. Exam tip: natural numbers are positive integers (1,2,3,...) and a rational number can be expressed as \(\frac{p}{q}\) with integers p,q and \(q\neq0\).
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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