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.
To add, I believe regardless of order of operations if we used () for every part of the equation it would no longer matter, but that would get tedious so as you said humans agreed on a shorthand for consistency.