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Which rational number lies between 2 and 3

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Answer and explanation

Correct answer: \(\frac{5}{2}\)

\(\frac{5}{2}=2.5\), and \(2<2.5<3\). Therefore, \(\frac{5}{2}\) is the rational number between 2 and 3. \(\frac{7}{2}=3.5\) is greater than 3, while \(\frac{3}{2}=1.5\) is less than 2. Exam tip: Convert a fraction to a decimal, or compare it using inequalities, to check whether it lies between two integers.

Related tags

Rational NumbersNumber LineNumber SystemsFractionsInequalities

Frequently asked questions

What is the correct answer to this question?

\(\frac{5}{2}\)

Why is this the correct answer?

\(\frac{5}{2}=2.5\), and \(2<2.5<3\). Therefore, \(\frac{5}{2}\) is the rational number between 2 and 3. \(\frac{7}{2}=3.5\) is greater than 3, while \(\frac{3}{2}=1.5\) is less than 2. Exam tip: Convert a fraction to a decimal, or compare it using inequalities, to check whether it lies between two integers.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Number line.

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