Quote:
Originally Posted by DaSchmarotzer
I still think my explanation is less confusing.
6÷2(1+2)
Let's just add brackets to "clarify". I am not changing any operator or priority by doing so.
(6)÷(2)(1+2)
And since a division is in fact a multiplication of the inverse:
(6)(1/2)(1+2)
And that's 9 no matter the order of the terms.

I like this justification. It is simple and very elegant using division as multiplication of inverse. well played