If we start with:
48÷2(9+3) = n
I think we all agree that this can be turned into:
48÷2(12) = n
(So far, so good).
Here is where the paths diverge. What is the 2 'linked to' first? The 48? or the 12?
I assert that the parenthesis serve to prioritize the 9+3 part, and thus, do not prioritize the 2(12) piece. Additionally, since all of the functions are now 'on the same plane' (ie multiplication) the PEDMAS rule dictates that from here on out, the equation must be solved from LEFT to RIGHT. Therefore, the equation can be re-written thusly:
48÷2*12 = n
Applying the left to right rule, the equation becomes:
24 * 12 =n
Solve for n:
24 * 12 = 288.
In my opinion, the only way the result could be 2 is if the equation were written like this:
48÷(2(9+3)) = n
With the addition of the 2nd set of parenthesis, the 2 and (9+3) must be reduced before considering the 48. But without the 2nd set of parenthesis, there is no reason to mutliply the 2 with (9+3) before considering the 48.
Unless someone can prove, using references that 2(9+3) means that after the equation within the forumla is solved, then the 2 MUST be applied to the result, then I contend that by the laws PEDMAS, the answer must be 288. Unless you can show me how 2(9 + 3) is not the same as 2 * (9+3), then I cannot accept any other answer than 288.
Well, maybe 42.
(Zaphod & Mr. Dent would be proud)
(Note: this is the same argument I used in the beginning of this thread...)
-Z