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She says that the tie goes to the multiplication, not the division. Someone has to win, and the convention is that multiplication wins. That situation was forced upon the engineering community by linear processors. It’s not an ‘order’ if an operation has the same priority as another.

Her words, “Do you really want to leave an equation open to interpretation if you are trying to put a man on the moon safely and get them back? AOS was created to minimize the need for interpretation. Clearly, TI has forgotten that.”

What enforced PEMDAS was the advent of computerization. M comes before D because a linear processor can’t process the operations simultaneously.

What used to aid PEMDAS was IOWA (In the Order in Which they Appear). Problem with that was subroutines and recursion. Calls to subroutines can provide results that shift the order in which important resultants can appear - sometimes early in one use of a subroutine, and later in another.

PEMDAS works because there is one unambiguous rule governing AOS, and AOS was created to avoid this VERY situation. M before D.

It’s clear people are still using PEMDAS and IOWA together, including TI. The CRC tables aren’t clear on AOS, but they also don’t mention IOWA.

You’re giving me wikibooks as a definitive source?