What is the logic behind PEMDAS?

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I know some places use BIDMAS as well. Overall though, to someone who knows little about mathematics, why is this the correct order? What’s the exact logic behind it

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Anonymous 0 Comments

We all just agreed on it, there’s also no reason why we spell things the way we do, we could use an entirely different alphabet but we decided this is how we use and how we spell things, doing things differently will cause problems for those who aren’t aware you’re doing things differently.

But there is a certain logic behind how it’s ordered, you notice how it follows a certain rule, parenthesis are obviously first since they only exist to override the rest of the rules.

As for the others, exponentials are just a bunch of multiplications together, multiplication is just a bunch of additions together, division and subtraction are just the opposite of multiplication and addition respectively, you could argue that you aren’t “subtracting 2” but instead just “adding -2”.

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