Comments

@Kangaroo Jacked, I've actually had 2+2=5 explained before when we did axioms. It only works in another space, not in ours and if you transform the math back to our space, the answer goes back to 4. Since I don't need axioms and made up math that works only in another vector space, I don't much care for them. Professor did it to make us go WTF!? It worked. It has its purpose but only in specific scenarios and nothing in real life calls for them. If you just whip out odd math like that, you're wrong and not doing the math correctly.

I argue that the answer is both 10 and 16 and neither is more correct than the other. It entirely depends on the situation and what the expression really means Say you have 4 crates and each crate has 2 oranges. If you add two oranges to each crate, you get the example of (2+2)×4. (2 oranges additional oranges per crate + 2 starting oranges per crate) × 4 crates. Say you have the same 4 crates with 2 oranges each. This time, you're given 2 oranges total instead of 2 orange per crate. Here's your example of 2+(2×4). 2 additional oranges + (2 starting oranges per crate × 4 crates). Y'all can downvote all you want, there are two answers. PEMDAS doesn't work for everything (e.g. solve for x in 3x7=20).

@BIessthefaII, you are describing the equivalent of "The customer is always right" when clearly they aren't saying what they want but expect the worker to decipher whats going on in their head, parentheses are their for that exact reason and to not put them is to assume someone wants to eat water with a fork

@BIessthefaII, so what you're saying is that it confuses you because you can't multiply by a variable and get a number out? If you can't multiply it yet, then go onto the next step. BTW the answer to your equation is x=9. Not that hard. It's solving for a variable, not chugging through the numbers. Your example isn't a great one but solving for a variable can also utilize PEMDAS. If it were 3(x (7/3)) = 20, what would you do first?
Order of operations you filthy casuals!