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If Arithemtic were debated like religion
(midwest.social)
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this post was submitted on 31 Dec 2023
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I mean, that sounds like the reasoning behind the order of operations, to me. At least that's the only reason I've ever been given.
The order of operations is a convention created by humans so as to ensure a consistent understanding of mathematical expressions. The reason for them being the way they are is merely because that's what we've agreed upon.
No, they have to be the way they are as a result of the way the operators have been defined. e.g. 2x3 is shorthand for 2+2+2, so if you don't do multiplication before addition then you get the wrong answer, hence the order of operations rules.