this post was submitted on 12 Dec 2023
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Honestly, I do disagree that the question is ambiguous. The lack of parenthetical separation is itself a choice that informs order of operations. If the answer was meant to be 9, then the 6/2 would be isolated in parenthesis.
It's covered in the blog, but this is likely due to a bias towards Strong Juxtaposition rules for parentheses rather than Weak. It's common for those who learned math into advanced algebra/ beginning Calc and beyond, since that's the usual method for higher math education. But it isn't "correct", it's one of two standard ways of doing it. The ambiguity in the question is intentional and pervasive.
It is correct - it's The Distributive Law.
There's only 1 way - the "other way" was made up by people who don't remember The Distributive Law and/or Terms (more likely both), and very much goes against the standards.
...zero.