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I'll give you a simple example. Suppose you have some floating-point numbers to add together. We'll assume they're all non-negative so that cancellation isn't an issue. For the purpose of this example, I'm going to use decimal with four significant digits of precision just to illustrate the point. The numbers are: 1.000e-4 1.000e-4 1.000e-4 1.000e-4 1....


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