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CP's math question

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kido:

--- Quote from: wongyan on 28 March 2011, 11:13:06 ---The utility is not linear go wor. 

e.g. 1,000,000  100,000 10,000 outcome will be different from 10m, 1million, 100k.


--- End quote ---

Not quite understand, explain the decision for both case please.....

chin:
OK this is not exactly from CP, but he weighted in in the answer. The question is very simple, what is the answer to the following
6÷ 2(1+2)

I am so surprised that half the people answered 9, while almost half answered 1, and a small percentage came up with other number. I was told that this question have been circulated on the internet, and the general trend is half half 9 & 1.

After explaining why the answer should be 9, and the misleading part of the question, many who answered 1 still do not believe the answer!

I though any one went through high school math should know that division and multiplication are essentially the same - to divide by a number X is to multiply it by 1/X. So these two operation is the same in priority.

I am using my kid's programmable calculator to show the same.

kido:
I understand both side 's arguement, one side says it's similAr to 1-2+3, it should be seen as -1+3=2, using other side's argument would evaluate 1-5=-4, also the priority of multiplication and divisions the same, hence the answer should be 3*3=9.

The other side view the formula as 6 / 2x and x is 3. And thus I think this is a case of ambiguity. I personally would like to view it as later case  :D

hangchoi:

--- Quote from: kido on 08 May 2011, 19:24:07 ---I understand both side 's arguement, one side says it's similAr to 1-2+3, it should be seen as -1+3=2, using other side's argument would evaluate 1-5=-4, also the priority of multiplication and divisions the same, hence the answer should be 3*3=9.

The other side view the formula as 6 / 2x and x is 3. And thus I think this is a case of ambiguity. I personally would like to view it as later case  :D


--- End quote ---

I concur.....

q:
I started by answering 1.  The reason being that I read the divide as setting up numerator 6 and denominator 2(1 + 2), but of course its the wrong answer.  :)

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