Order of operations - what is 6÷2(1+2) ?

[klesl]

According to me the implicit multiplication (multiplication with omitted multiplication sign) haas higher priority than explicit multiplication becasue I am treating such expression as variables as it shown in many physics and chemistry books or in post 29 written by Massimo


If I see something like this "6÷2(1+2)", then I see "a/bc" which is shortened "a/(b*c)"
Fortunately there is no system like pemdas, bodas or something similar in Czechia.
At least the higher priority for implicit multilipcation works well with no exceptions (I know it is empirical evidence and not the mathematical one)