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originally posted in: 6÷2(1+2) =?
3/2/2016 4:40:11 PM
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It's an ambiguous problem. It has two answers
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  • No it's not ambiguous, there is only one answer.

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  • No, there aren't. Multiplication and division are the same function in mathematics, much like how addition and subtraction are the same function. The only ambiguity in the problem comes from the "/" and whether it means 6 ------- 2(1+2) Or 6 (division sign) 2(1+2) And that ambiguity is cleared up the way that OP wrote the problem.

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  • Well if you've done a math equation you should know that "\" means division, and yes this equation is ambiguous with an improper use of parenthesis

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  • Edited by aceebro: 3/2/2016 7:16:31 PM
    "/" does mean division, but it can either mean (x/y) + z, or x/(y+z). The division sign of which I speak is the one that looks like a "-", with a dot above and below it. That one does not suffer from the problem of ambiguity, and it is the one that OP used. There is an unambiguous, correct answer to the problem.

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  • Ambiguity is when a problem suffers a parenthesis displacement, common ones are 48/2(9+3) which can give you 288 or 2. 6/2(1+3) is basically the same thing giving you 9 or 1

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  • [quote]Ambiguity is when a problem suffers a parenthesis displacement, common ones are 48/2(9+3) which can give you 288 or 2. 6/2(1+3) is basically the same thing giving you 9 or 1[/quote] Both of those problems can be rewritten as 48/2*12 and 6/2*4 respectively. The fact that there are parentheses in the problem may confuse you, but it does not make the problem ambiguous in any way.

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  • Alright whatever you say dude cause you're making this more complicated than it needs to be

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  • I'm just simplifying the problems, m8.

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  • You're not, they've done tests on problems like these, they come out with two different answers. There was a reason PEMDAS was created or BODMAS so they could be distinguished, they both counter each other giving two different answers. Solve for (6/2)(1+3) and for 6/(2(1+3)) and you'll see two different answers

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  • Edited by aceebro: 3/2/2016 7:50:25 PM
    And when those parentheses [b]aren't present[/b], you follow PE|MD|AS| from left to right. [b]That's the point of the order of operations[/b]. And I am simplifying. (1+3) simplifies to 4, every time.

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  • It still has its parenthesis, remember you still have to first multiply anything multiplying to that parenthesis hence 2(3)=6

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  • M8

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  • Edited by aceebro: 3/2/2016 8:03:25 PM
    2(3) is just shorthand for 2*3. They are the same operation. The fact that the 3 is in parentheses does not change its priority.

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  • Can we just say we're both right, seriously

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  • No, because you are objectively wrong. That's the wonderful thing about math, there is objective truth.

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  • Whatever m8

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  • It kinda does if you follow the PEMDAS rule

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