Az, calculators have 1 flaw, they denote the parenthesis after doing the equation inside.
True.
So here's my way of thinking:
6/2(1+2)
The values in the parentheses are added...
6/2(3)
But what you are doing with the parentheses is really just the same as multiplying, so you do the division first, since multiplication and division are on the same level and are done left to right.
3(3)
9
I can see what you mean though, how the parenthesis are still there, so you multiply the 2 by the 3 in the parentheses to get 6.
6/2(1+2)
6/2(3)
6/(6)
See, I get that, but does the parentheses really stay the WHOLE time, or are they eventually denoted after values from the outside interact with the values on the inside? I was taught by all of my teachers that the parentheses alone with just one value and no other equation on the inside was just like multiplying, and that it was treated as such during order of operations.