I still use pemdas, and I would like to know where distributive property belongs
I don't think there is any distributive property involved in PEMDAS.
Say, in this problem here; 4 x 8 (2+6)
Well, PEMDAS says you have to get the parenthesis taken care of first, even if you immediately think you have to distribute the 8 through the parenthesis. :)
I hope this explanation helps :)