Question 696854: There is a heated Facebook debate going on over the answer to this problem:
6 divided by 2(1+2) (sorry, no "divided by" symbol on this pad!)
Solving the brackets first, you get 6 divided by 2(3)
The question is, is 2(3) the same thing as 2x3?
Should the division be done first, because it comes first in left-to-right sequence? 3x3 = 9?
Or should the bracketed item be distributed first? 6/6 = 1?
https://www.facebook.com/photo.php?fbid=544784552198699&set=a.499338033410018.129037.499317933412028&type=1
Found 3 solutions by Alan3354, jim_thompson5910, MathTherapy:
Answer by Alan3354(69443)   (Show Source):
Answer by jim_thompson5910(35256)  (Show Source):
You can put this solution on YOUR website! 6/2(1+2)
6/2(3) ... First you add the terms in the parenthesis
3(3) ... Then you divide 6 by 2 to get 3
9 ... Finally, you multiply 3 and 3 to get 9.
So you start with the P in PEMDAS (for parenthesis), then you move to the D in PEMDAS because that division is to the left of the multiplication. Multiplication and division are on the same level, which means that you evaluate from left to right. Finally, you move to M in PEMDAS because that's what is left.
So the answer is 9.
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Note:
IF the problem was
6/(2(1+2))
then the answer would be 1 because the extra set of parenthesis tell us to multiply first, then divide. But that's not the case here.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
There is a heated Facebook debate going on over the answer to this problem:
6 divided by 2(1+2) (sorry, no "divided by" symbol on this pad!)
Solving the brackets first, you get 6 divided by 2(3)
The question is, is 2(3) the same thing as 2x3?
Should the division be done first, because it comes first in left-to-right sequence? 3x3 = 9?
Or should the bracketed item be distributed first? 6/6 = 1?
https://www.facebook.com/photo.php?fbid=544784552198699&set=a.499338033410018.129037.499317933412028&type=1
The 2 * 3 is the DENOMINATOR, so we have:  , which becomes:  , or 
If it were:  , then it'd become:  , or 
Also, the 2(2 + 1) indicates that the 2 outside the parentheses is ATTACHED to the value in the parentheses, so you CANNOT associate the 6 with the 2(2 + 1), until you have determined the value of 2(2 + 1), or 2(3), which means that that has to BE DISTRIBUTED first. There should NOT be any debate!!!
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