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The mnemonics PEMDAS, BODMAS, BEDMAS, and BIDMAS, and associated "rules" are just conventions to make writing and reading math equations possible without having to use an excessive number of parenthesis or brackets or having to explain the rules each and every time you write something down.
The problem with the simple mnemonics is that they lead to misunderstandings. Equal precedence is not inherently obvious to the layman. Even those that know about precedence can have a problem with writing clear equations. For example, what does this mean?
1/3x
Is it 1/3 of x or is it 1 divided by 3x? Many people that know the rules would write that expression when they meant to write:
(1/3)x
Even knowing the rules, people should strive for clarity in writing equations. So this equation:
56 - 24 / 3 + 12 = ?
Should be written:
56 - (24 / 3) + 12 = ?
Unless, of course, you want to post it up on Facebook and start an argument.
__________________
Scott Winders
PCA GT3 #3
2021 & 2022 PCA GT3 National Champion
2021 & 2022 PCA West Coast Series GT3 Champion
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