New
#101
Actually, as per your link, the answer to our problem with be 288.
Following the example from mathopolis
Let:
u+v=48
t=12 <-as per (9+3)
48 x 12 = 288
2
From the above simplified equation, the only way we could get 2 as an answer is to multiply 48/2 to the reciprocal of 12, which we all know should never be done in this case.
Do what's in parentheses first. The answer is 2
48÷2(9+3)
48÷2(12)
48÷24
2
EDIT: Just realized there's like, 11 pages in this thread. My bad. :/
48÷2*(9+3) = 48÷2*(12) = 48÷24 = 2
The Standard Order of Operations should not be applied in this type of equation.
~ 48÷2*(9+3) = ???
In both the SOOO and PEMDAS rules, parenthesis are simplified first before proceeding.
Both rule simply the equation to 48÷2*(12) or 48÷2*12
SOOO vs Pemdas
~ SOOO will basically simplify it to 288.
~ PEMDAS will basically simplify to 2.
The resulting answer between both differs due to dissimilar order of mathematical processes.
~ Division is applied before multiplication in SOOO.
~ Multiplication is applied before division in PEMDAS
SOOO should not be applied in this type of equation since 12 is simplified from a parenthesis which involved addition.
The sum, 2 is proceeded using the PEMDAS rule since multiplication must be done first since the equation wuz simplified from a parenthesis. And since 48 wuz not derived from a parenthesis we proceed with multiplication before division.
Google simplifies 48÷2*(9+3) into (48÷2)*(9+3), perhaps since it follows the SOOO in any type of equation. The indication of parenthesis in 9+3 depicts that such must be multiplied to 2. The absence of parenthesis in 48÷2 tells that both is not to be simplified first and thus 2 must be multiplied to the sum of the parenthesis before division is to be proceeded.
Therefore, there is only 1 correct solution to the equation which is 2
Order of operations - Wikipedia, the free encyclopedia
Crap, I'm not even sure of what I'm saying... i'm still a kid....
Last edited by kenmdotexe; 16 May 2011 at 03:12.
I just cheated; I entered the equation into a graphing calculator, exactly like this:Calc spit out 288...Code:48/2(9+3)