What is the correct result?

[Eddie W. Shore]

My first thought is go with what Tony Barlow said in Gene Wrights' presentation when Barlow reviewed the ill-fated never-released TI-88:

"1. Kill Implied Multiplication.
2. Kill Implied Multiplication.
3. Kill Implied Multiplication."

https://www.youtube.com/watch?v=wl16wzmn3wA
Scroll to 13:24.

I'm for consistency. I would do what CAS calculators that allow more than one-character variable names: require multiplication symbols (dots, crosses, asterisks) in between operators to be multiplied. Every time. In programs I write, I put multiplication symbols every time. Yes it costs me some bytes but clarity is well worth the cost.

Notation like f(expression) should always be a function call, and 2(expression) would return an error message, requiring a multiplication symbol and/or perhaps an extra set of parenthesis if we really meant to prioritize (2 * (expression)).

Second, PEMDAS vs PEJMDAS seems to align with the way the world views the standard units in science:

PEMDAS: ft, sec, lbs (well, at least in the United States' teachers)
PEJMDAS: m, sec, kg

Third, I'm not a fan of "pick a lane" but in this case, the world needs to pick a method and stick to it, make it universal so there is no confusion. Americans, especially American teachers may have to swallow their pride on this one.