10 Mathematicians Answering This Controversial Question
It has been years of debate on this controversial and stupid Math question about the correct answer in 6÷2x(2+1). To put an end to this debate, I asked 10 well-known Mathematicians to give their answers.
These people had established their own names and credentials in the field of Mathematics. If you are bitter with their answers and opinion, then you are probably a self-proclaimed genius. No offense! If you don’t know them, Google will help you out.
I am so thankful to those people who made this article available. I hope that we can achieve our goals to stop seeing people fighting so hard that their answers are correct.
Here are the answers I have gathered.
Mark Elis Espiridion:
The PEMDAS was an international established order of operations to evaluate long arithmetic expressions and arrive with the same answers when this established order of operations is followed.
It has been believed that once the operations inside the parentheses has been evaluated into a single expression, we can freely remove the parentheses and proceed further with the other operations… For the problem, 6/2*(1+2)=6/2*3=3*3=9
By Shafiqur Rahman :
(6÷2)*(2+1)=9 and 6÷(2*(2+1))=1
By John Patrick Delavin :
Answer is 9. Everyone will say the way to answer this question is using PEMDAS. What our grade school teachers did not tell us is that PEMDAS is slightly wrong.
It really should be PE(MD)(AS). MD and AS are grouped respectively because there really is no distinction between multiplication and division and addition and subtraction.
This is because a/b is the same as a*(1/b) and a-b is the same as a+(-b). Thus, multiplication should not have a priority over division, and addition should not have a priority over division, and addition should not a priority over subtraction.
You multiply and divide from left to right, and then you add and subtract from left to right.
In the example, using PE(MD)(AS):
MD from left to right: 3*3
MD from left to right: 9
By Daniel James Molina:
Since 2(1+2) is not in in a single grouping symbol, we can say that only 2 is in the denominator of the fraction. So,
6/2*(1+2) = 3*(1+2) = 9
But there’s a but…When we enter 6/2*(1+2) in Microsoft word after inserting equation and pressing the space bar,2*(1+2) will be in the denominator. So, 6/2*(1+2) = 6/2*3 = 6/6 = 1.
But for me, it’s 9. For 2*(1+2) is not inside the denominator.
My solution: (hahahaha)
Let’s follow the PEMDAS rule. For it is the right thing to do.
6/2*(1+2) = 6/2*3 = 3*3 = 9
(1+2) is operated first because it is in parentheses.
Now, we only have 6/2*3 left. Again by PEMDAS, 6/2*3 = 3*3 = 9
Proceed to page 2 below