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Which of the following numbers is both a natural number and a rational number?

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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 \(q\neq0\).

Related tags

Natural-NumbersRational-NumbersReal-NumbersIrrational-NumbersNumber-System

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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