Mathematics III: PEMDAS

[MaxQue]

1 by the rules I was taught (multiplication and division in order from left to right).

Which gives 9 here, not 1.

6 ÷ 2 (1 + 2) =
6 ÷ 2 (3) =
3 (3) =
9

Now if you do multiplications before you do divisions, you get 1, but that's not the usual PEMDAS order of operations.

Shouldn't you distribute the 2, since it's in from of a parenthese? The inverse of a factorisation, sort of?

6 ÷ 2 (1 + 2) =
6 ÷ (2 + 4) =
6 ÷ (6) =
1

[MaxQue]

Well, is there is a definite way to have a final answer (the right one)?