this post was submitted on 27 Nov 2025
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But there is logic behind them.
1+2+3=6 and 2+3+1=6 also.
But 1+2*3 and 2*3+1 won't come out the same if you do the calculations in just any order. It's not always possible to order them left to right like in the second version, and if we use parentheses for everything we can end up with an illegible mess. I actually tried to type an example of how silly it could look and lost track of my own parentheses nesting before I got very far.
Do you have any other suggestion for how to notate an equation which would make memorization of PEMDAS unnecessary?