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Number theory Difficulty 1.2 Junior Find the answer Canada

Which integer is closest in value to $\frac{35}{4}$ ?

Pick one

Solution

Solution 1

Written as a mixed fraction, $\frac{35}{4}=8\frac34$ .

Since $\frac34$ is closer to 1 than it is to 0, then $8\frac34$ is closer to 9 than it is to 8.

The integer closest in value to $\frac{35}{4}$ is 9.

Solution 2

Written as a decimal $\frac{35}{4}=35\div4=8.75$ .

Since 0.75 is closer to 1 than it is to 0, then $8.75$ is closer to 9 than it is to 8.

The integer closest in value to $\frac{35}{4}$ is 9.

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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.