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> bounces@carnot.physics.buffalo.edu] On Behalf Of Richard L. Bowman
One should not apply it to intermediate results on the way to a final
answer. This is also true forr the more formal derivative method. One should
look at the whole procedure not just at parts of it.
Yes, I agree. But that is still strange! If every day, I throw some pennies in a jar, I can keep track of the current total by adding the new amount to the previous day's total. No one will suggest that to get the right answer I have to re-add the daily contributions. But if I have that 12000 lb bus and then over 50 days 50 passengers get on the bus, one each day, then at the end of each day I find that the weight has not changed (according to the rules of sig fig addition). But if I add up the passenger weights first and then add, I get the more reasonable result. So this time, I can't just add the mass of the new passenger to the previous running total.
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