Small differences of large numbers may be particularly strongly affected by rounding errors. Illustrate this by computing

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Small differences of large numbers may be particularly strongly affected by rounding errors. Illustrate this by computing 0.81534/ (35 · 724 - 35.596) as given with 5S, then rounding step wise to 4S, 3S, and 2S, where “step wise” means round the rounded numbers, not the given ones.

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