this post was submitted on 03 Dec 2023
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[–] [email protected] 2 points 9 months ago

The problem is that the way PEMDAS is usually taught multiplication and division are supposed to have equal precedence. The acronym makes it look like multiplication comes before division, but you're supposed to read MD and as one step. (The same goes for addition and subtraction so AS is also supposed to be one step.) It this example the division is left of the multiplication so because they have equal precedence (according to PEMDAS) the division applies first.

IMO it's bad acronym design. It would be easier if multiplication did come before division because that is how everyone intuitively reads the acronym.

Maybe it should be PE(M/D)(A/S). But that version is tricky to pronounce. Or maybe there shouldn't be an acronym at all.