What is the logic behind PEMDAS?

Question

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

In: 6

Answer 1

PEMDAS and BIDMAS (and BODMAS and PEDMAS) are all the same – just using different letters/words to describe the same order of operations.

It’s not the only system, but it is one that allows for a fairly efficient way to convey the order of operations to get the correct answer that’s also fairly intuitive for many people.