A seemingly basic PEMDAS problem...

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There's one of those meme-type images posted on Facebook with the equation 6/2(1+2), challenging you to solve it. So, parenthesis first, 1+2=3. Then, multiplication and division proceed left to right, 6/2=3, then 3*3=9. Or so I think...

Most responders have posted the answer as being 1, due to seemingly misevaluating the 2*3 first. I went to the mathway.com equation solver to check, but it rearranges the equation as...

  6
______
2(1+2)

...and gives me the answer as 1. What gives?

4

There are 4 best solutions below

0
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I Think the most sensible think to do here is ask the person who wrote this ambiguous question.

However if that is not an option I would do first the division and then the multiplication, since some teachers tell you operations with the same hierarchy should be done in the order they are listed.

2
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There's a difference between $$\dfrac{6}{2}(1+2)=9$$ and $$\dfrac{6}{2(1+2)}=1.$$ The better is to put parenthesis around like this: $(6)/(2(1+2))$. And remember, you will never encounter such type of problems if you write everything using concise $\TeX$. ;-)

0
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Just because "most" responders answer "$1$" doesn't mean you're wrong. They are implicitly bracketing the whole of $[2(1 + 2)]$ when arriving at $1$.

Your answer is consistent with PEDMAS + left-to-right evaluation, so I'd suggest you should be proud of "sticking to the rules."

The question itself (since it's floating around FACEBOOK) is designed (in troll-like fashion) to create a stir and get folks arguing over the correct result and/or get them second-guessing what their answers. Anyone serious about testing users arithmetic skills would have/should have erased the inevitable ambiguity by using brackets, to rule out such disagreeing responses.

2
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It is clearly the answer is 9. It is an illegal math move to obtain 1. Once and for all, the answer is 9.