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> Knowing how to get the answer in a problem with easy numbers is not the point.

So, don't use easy numbers?

> I give the students nice numbers and in exchange they are expected to tell me a general way of solving that type of problem.

If this quid-pro-quo is explicit, that seems fair. But I still don't see why "nice numbers" are necessary.




In this case nice numbers are not necessary. In other types of problems they are. One does not want to burden students with needlessly complicated calculations when the main point is a simple one.




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