Maths Olympiad Prep

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Algebra Difficulty 1.1 Junior Find the answer Canada

If the numbers 2342\frac{3}{4},
2.3, 2142\frac{1}{4}, 2.45, and 29102\frac{9}{10} were arranged from least to
greatest, the middle number would be

Pick one

Solution

Expressing the given fractions as decimals, we get 234=2.752\frac34=2.75, 214=2.252\frac14=2.25, and 2910=2.92\frac{9}{10}=2.9. Arranging from least
to greatest, we get 2.252.25, 2.32.3, 2.452.45, 2.752.75, 2.92.9 or 2142\frac14, 2.32.3, 2.452.45, 2342\frac34, 29102\frac{9}{10}. The middle number is 2.452.45.

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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.