Quote:
Originally Posted by LeKy411
The answer is 2
First you do the parenthesis.
Then you multiply out the the number next to the parenthesis because this implies multiplication.
Finally you divide.
God I hope I know this, I teach children for a living.

Sorry teach in this case as written you are incorrect but it's not your fault.
The problem is purposely written imprecisely to take advantage of a common mnemonic. Something that wouldn't fly with any mathematician.
You are using PEMDAS strictly as it is written:
Parenthesis > exponents > multiply > divide > add > subtract
More correctly it should be written
Parenthesis > exponents > multiply/divide > add/subtract
Multiplication/Division have equal value and are solved left to right, add/subtract is the same.
One way to realise this is many people learned BODMAS in school.
Same principle different english language. LOL
Brackets > Orders > Division/Multiplication > Addition/Subtraction.
So depending on where you grew up you would get different answers if the mnemonic had to be followed strictly:
PEMDAS
48 / 2*(9+3) = 48 / 2*(12) = 48 / 24 = 2
BODMAS
48 / 2*(9+3) = 48 / 2*(12) = 24*12 = 288
In this case BODMAS gives us the correct answer (if used strictly as written) but not because it is superior. It works only because it's written in the same order as the division/multiplication is read in the problem.