If you have both multiplication and division then you do them left to right. PEMDAS doesn’t mean multiplication first, nor does BEDMAS mean division first. It’s PE(MD)(AS) and BE(DM)(AS) where the bracketed parts are done left to right.

You are adding more rules to protect a convention that doesn't work and doesn't mention them to begin with. If all that matters is higher orders first, then why bother having an acronym? Just say "Brackets, then higher orders". Bam. Solved it with less words than any of the acronyms.

Left associativity means it always operates on the following term. i.e. terms are associated with the sign on their left.

As someone who studied mathematics, computer science, and engineering in university, I certainly don't you to tell me how to do bare bones arithmetic. I know operators apply to the numbers to their right. Everyone does. You jumped right on by the point.

With 2/2*2, you don't know if it is 2*2/2, or 2/(2*2). When you are dividing by numbers, you put them all in the denominator. If I had to put it in a line, I would at least do 2/(2)*2, to show what is in the denominator. If it is ambiguous, you have done it incorrectly.

By the rule of left associativity.

BY CONVENTION, as I said. You don't have to repeat what I said a second time.

No it doesn’t. How on Earth did you manage to get -2?

wow. geez. I wonder.

If you can't follow the steps guided for such a simple example, maybe we just shouldn't have this conversation. It's not like you could have tried in your head different orders to combine 3 numbers.