What is included under ‘Parentheses’ in the Order of Operations?
I don’t mean the types of grouping symbols.
What I don’t understand is how far are parentheses the most important? I know that they go first, but is that only for actual problems inside parentheses, or does that rule also include plain single numbers inside parentheses?
there are some particular problems I’ve seen that confuse me:
Problem: Step 1:
_________ = ________ =
Step 2: Step 3: Answer:
______ = __ = -4
(note: the long lines are fraction bars, I couldn’t get them closer to the numbers; and the shortest lines mean negative while the longer- short lines mean minus)
so my question is, why for the denominator of the fraction bar, is the first step the “change subtraction to adding the opposite” step? I understand the step I just don’t know why it’s first. The problem “6–(-3)” or “six minus negative three” is clearly a subtraction problem, a problem partially outside of the parentheses, and the rule is if there are only adding and subtracting problems to go from left to right.
and then in the second step it doesn’t do the ”6+(3)” problem, it does the “-10+6” part. if parentheses are priority why aren’t they taken care of in the next step seeing as they’re still there? (thats exactly how they were written.)
i also put this problem into cymath and it gave the same process, except after it solved that part it didn’t put the 3 into parentheses. this makes it seem as though parentheses are sometimes optional/preferential depending on the context, which states that parentheses aren’t always priority.