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> The old "Multiplying and dividing is associative... for the set of reals

Psstt... Dividing is not associative for the reals.




I think the original intent was referring to the fact that given the same operand, the order of multiplication and division shouldn't matter, e.g. A * X / X should give the same result as A / X * X, but in reality they can give different results when done by a computer due to precision limits, overflow, etc.


Ah that makes sense.




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