Yeah, differentiating between multiplications vs. divisions and additions vs. subtractions doesn’t make sense, because they’re the same thing respectively, just written differently.

When you divide by 3, you can also multiply by ⅓.
When you subtract 7, you can also add -7.

There is one quirk to be aware of, though. When people notate a division with a long horizontal line, that implies parentheses around both of the expressions, top and bottom.

I learned, “Please excuse my dear aunt Sally.”

Parentheses Exponents Multiplication Division Addition Subtraction

When you get to doing division and multiplication, it can make sense to look at what is being done to what and see if operations cancel out or simplify. E.g. if you are multiplying by 6 and dividing by 2 and bother operations are going to affect the same number/group/etc. there is no need to do both operations, you just multiply by 3 since that’s ultimately what you are doing. Really, any place you can simplify operations, do that. Same goes for addition/subtraction. The Commutative Property is really handy for making hard math easier.

BEDMAS cuz all y’all “parentheses” people are way too hoity toity and they’re called Brackets, y’all

Edit: this is a shitpost. The downvotes are deserved.

I only write math in the context of programming languages. I prefer ones without order of operations. Rebol, (Polish notation), Factor/Forth (Postfix notation), smalltalk, (left-to-right) apl (right-to-left), etc.

In short, it doesn’t matter as long as your audience understands you.

BOPS

Brackets Orders Products Sums

In order, left to right