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MathNet 2026 — Part 01 Question 49

Math Olympiad Vault · MathNet 2026 — Part 01

Question 49

156. Integer Part - The integer part of a real number $x$ is the largest integer that is less than or equal to $x$. We denote the integer part of $x$ by $[x]$. For example, $[2,9]=2$, $[0,88]=0$ and $[-1,7]=-2$. Question illustration Calculate the following integers.
(a) $[\sqrt{12}]$
(b) $\left[\frac{28756}{12777}\right]$
(c) $\left[-\frac{2007}{2008}\right]$
(d) $[\sqrt[3]{-111}]$