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If \(a=\sqrt{6}\), \(b=\frac{5}{2}\), and \(c=2.48\), what is the increasing order of these numbers on the number line?

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Answer and explanation

Correct answer: \(a<c<b\)

Since \(\sqrt{6}\approx2.449\), \(c=2.48\), and \(\frac{5}{2}=2.5\), we get \(2.449<2.48<2.5\). Therefore, the increasing order is \(a<c<b\). Remember that increasing order means arranging numbers from least to greatest.

Related tags

Number LineOrdering Real NumbersSquare RootsDecimal Comparison

Frequently asked questions

What is the correct answer to this question?

\(a<c<b\)

Why is this the correct answer?

Since \(\sqrt{6}\approx2.449\), \(c=2.48\), and \(\frac{5}{2}=2.5\), we get \(2.449<2.48<2.5\). Therefore, the increasing order is \(a<c<b\). Remember that increasing order means arranging numbers from least to greatest.

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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