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Algebra Difficulty 1.2 Junior Find the answer Canada

When the numbers 3, $\frac{5}{2}$ and $\sqrt{10}$ are listed in order from smallest to largest, the list is

Pick one

Solution

Since $3 = \frac{6}{2}$ and $\frac{5}{2}<\frac{6}{2}$ , then $\frac{5}{2}<3$ .

Since $3 = \sqrt{9}$ and $\sqrt{9}<\sqrt{10}$ , then $3 < \sqrt{10}$ .

Thus, $\frac{5}{2}<3<\sqrt{10}$ , and so the list of the three numbers in order from smallest to largest is $\frac{5}{2},3,\sqrt{10}$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.