Using definition 3.3 on NZM For real x, the symbol [x] denotes the greatest integer less than or equal to x. Why is [-15/2]=-8.
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$\displaystyle -\frac{15}{2} = -7.5$ What's the largest integer that's smaller than $\displaystyle -7.5$ ?
Originally Posted by o_O $\displaystyle -\frac{15}{2} = -7.5$ What's the largest integer that's smaller than $\displaystyle -7.5$ ? -8, so [-3/2]=-2, since $\displaystyle -\frac{3}{2} = -1.5$ and the the largest integer that is smaller -1.5 is -2?
Exactly.
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