Floor and Ceiling (Medium)

Floor and Ceiling: core idea

• 1. How many integers $n$ satisfy $n\le 4.2$ and $n\ge1$?

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• 2. Find $\lfloor -7/2\rfloor$.

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• 3. Find $\lceil -7/2\rceil$.

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• 4. Find $\lfloor \pi\rfloor+\lceil\pi\rceil$.

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• 5. Find $\lfloor 2.9\rfloor\cdot\lceil2.9\rceil$.

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• 6. How many integers are strictly between $-2.1$ and $3.1$?

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• 7. Find $\lfloor 100/9\rfloor$.

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• 8. Find $\lceil 100/9\rceil$.

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• 9. Find $\lfloor\sqrt{50}\rfloor^2$.

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