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If the distance from your house to the shop is 574.3899246 metres do you really care if someone tells you it is really 574.3899235 metres? You really want to know the distance to the nearest 10 metres (570), or even 100 metres (600). On the other hand if you are working out some problem in atomic physics, or when to switch your engine off when landing on Mars, you'd probably want a lot more accuracy.
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