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Question Number 122788 by 676597498 last updated on 19/Nov/20

Answered by mr W last updated on 20/Nov/20

$$0<\frac{1}{2}+\frac{1}{1000}<1\Rightarrow [\frac{1}{2}+\frac{1}{1000}]=0$$$$...$$$$0<\frac{1}{2}+\frac{499}{1000}<1\Rightarrow [\frac{1}{2}+\frac{499}{1000}]=0$$$$\frac{1}{2}+\frac{500}{1000}=1\Rightarrow [\frac{1}{2}+\frac{500}{1000}]=1$$$$1<\frac{1}{2}+\frac{501}{1000}<2\Rightarrow [\frac{1}{2}+\frac{501}{1000}]=1$$$$...$$$$1<\frac{1}{2}+\frac{999}{1000}<2\Rightarrow [\frac{1}{2}+\frac{999}{1000}]=1$$$$$$$$\Rightarrow sum=999-499=500$$

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