48÷2(9+3) = ???

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  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
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    Young-Ice wrote: »
    they are being accounted for completely fool.


    48÷2(9+3) = 48÷2x(9+3)

    theyre the same equation

    48÷2(9+3) = 48÷2(12) = 48÷2x12

    as soon as what's in the brackets has been simplified to the fullest, you take the brackets away and solve from left to right.


    This is what you dont understand. The problem is ambiguos. Those are NOT the same problem. As written, the problem does not specify if the (9+3) is in the denominator or not. In a real setting you will not see a problem like this because of the way it is written.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
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    Young-Ice wrote: »
    the problem isnt a fraction tho

    LOL says who? its all about interpretation..
  • T. Sanford
    T. Sanford Guests, Members, Writer, Content Producer Posts: 25,291 ✭✭✭✭✭
    edited April 2011
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    answer is math error
  • MorganFreemanKing
    MorganFreemanKing Members Posts: 4,282 ✭✭✭✭✭
    edited April 2011
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    Smh @ just "taking the brackets away" the PEMDAS sequence was made for this reason. PARENTHESES (double smh @ brackets) are not solved until they are solved. Just because a figure is outside of the parentheses doesn't mean its not a parenthetical operation. Making the 2 adjacent makes 2(9+3) a single quantity and should be addressed as such
  • dominique19
    dominique19 Members Posts: 295
    edited April 2011
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    2 you always do parentheses first
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    this is the greatest thread in the history of this upgrade. im gonna print out every page of this thread and ship it off to the library of congress in DC LOL
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    and im the only one who knows the real answer and why LOL

    **evil laugh** LOL!!!!
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    it all comes down to if you multiply or "divide" first after the parenthesis

    LOL!!!!
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    sboogie wrote: »
    c'mon son...

    theres actually one other thing that i havent seen anyone pick up on yet .... thats why im laughing. but i didnt read the whole thread so ionno
  • glowy
    glowy Members Posts: 3,995 ✭✭✭
    edited April 2011
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    The answer is 288, if it were 2 it would be written like this.
    48 / (2 * (9 + 3)) = 2


    But it's not written like that, it's written like this.

    48 / 2 (9 + 3) = 288


    ^ Basically the 2 is not within the parentheses, so you're free to do 48 ÷ 2 after doing 9+3

    9+3 = 12

    48 ÷ 2 = 24

    12 * 24 = 288
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
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    fiat_money wrote: »
    I called it a "math troll" for a reason.

    The fraction version is the one with the straightforward solution.

    But you won't understand what I mean by that.

    imOpZy.png
    Well what did you mean by that?
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    fiat_money wrote: »
    Well what did you mean by that?

    i think were on the same page here LOL
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
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    fiat_money wrote: »
    Well what did you mean by that?
    As I wrote earlier, all numbers can be written as fractions. For this reason, the fraction form of the problem is straightforward, since it's simply the fraction multiplied with the values in the parenthesis; and since the "/" operand only applies to the numbers directly before and after it. This is also the way calculators interpret fractions.
    incazq.png

    The division version, on the otherhand isn't so simple, as the "÷" symbol is often used to represent a long division operation. So the answer depends on how the "÷" symbol is interpreted. Calculators usually interpret the "÷" operand as long division symbol.
    inbYri.png
    But the "÷" symbol can also be interpreted as a fraction symbol ("/"), in which case it becomes the above example.


    However, it's not an issue of the orders of operation as people have been assuming.

    Math with fiat.
    ik8dlc.png
  • cuttadc13
    cuttadc13 Members Posts: 1,626 ✭✭
    edited April 2011
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    smh...this can be rewritten as:
    48 / (2*9 + 2*3)

    Which leaves us with

    48 / 24 = 2

    Answer = 2.
  • SunflowaSeeds
    SunflowaSeeds Members Posts: 12,210 ✭✭✭✭✭
    edited April 2011
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    This ? is all over the internet. Still say 288.
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
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    fiat_money wrote: »
    As I wrote earlier, all numbers can be written as fractions. For this reason, the fraction form of the problem is straightforward, since it's simply the fraction multiplied with the values in the parenthesis; and since the "/" operand only applies to the numbers directly before and after it. This is also the way calculators interpret fractions.
    incazq.png

    The division version, on the otherhand isn't so simple, as the "÷" symbol is often used to represent a long division operation. So the answer depends on how the "÷" symbol is interpreted. Calculators usually interpret the "÷" operand as long division symbol.
    inbYri.png
    But the "÷" symbol can also be interpreted as a fraction symbol ("/"), in which case it becomes the above example.


    However, it's not an issue of the orders of operation as people have been assuming.

    Math with fiat.
    ik8dlc.png



    So 48÷2(9+3) would be 2.
  • glowy
    glowy Members Posts: 3,995 ✭✭✭
    edited April 2011
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    cuttadc13 wrote: »
    smh...this can be rewritten as:
    48 / (2*9 + 2*3)

    Which leaves us with

    48 / 24 = 2

    Answer = 2.

    But it's not written as that, so it's 288.
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
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    major pain wrote: »
    So 48÷2(9+3) would be 2.
    If the "÷" is considered a long division symbol.

    I've never said that 48÷2(9+3) can't equal 2 in this thread.
  • fiat_money
    fiat_money Members Posts: 16,654 ✭✭✭✭✭
    edited April 2011
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    fiat_money wrote: »
    If the "÷" is considered a long division symbol.

    I've never said that 48÷2(9+3) can't equal 2 in this thread.
    I see what you did there.

    This whole thread.

    LUSne.gif
  • gns
    gns Members Posts: 21,285 ✭✭✭✭✭
    edited April 2011
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    I hate math! the answer i got was 288 though, I asked my ? and he got 2, he ended up asking some engineer and ? and we waiting on the answer but i suck at math wouldnt be surprised if i was wrong but how the ? working out how they got 2 is some bs to me, so ? yall and ? math....
  • major pain
    major pain Members Posts: 10,293 ✭✭✭✭✭
    edited April 2011
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    fiat_money wrote: »
    I see what you did there.

    This whole thread.

    LUSne.gif

    Uh huh.......
  • cuttadc13
    cuttadc13 Members Posts: 1,626 ✭✭
    edited April 2011
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    glowy wrote: »
    But it's not written as that, so it's 288.

    48÷2*(9+3) = 48÷2*(12) = 48÷24 = 2

    explain to me why you wouldn't do it this way and I'll leave it alone...
    no matter how u look at it...you do parenthesis first, multiply the 2 towards the 12 thats still in parenthesis(there is no argument to that...NONE..so don't try to make one up) and then u do the simple left over division...you get 2. YOU DONT DIVIDE BEFORE YOU MULTIPLY!!..thats basic algebra, u do left to right when the problem is completely broken down, not during. This problem is not supposed to be that difficult. yall making up rules n ?
  • Pond Scum
    Pond Scum Members Posts: 2,888 ✭✭✭
    edited April 2011
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    i hope you guys figured out that this is 288 by now.

    multiplication and division are ranked the same in order of operations so you go left to right at that point. parenthesis first then multiplication or division from left to right and then addition or subtraction from left to right.

    also you can verify this by doing a google search for 48 / 2 (9 + 3) or using a good calculator.
  • MorganFreemanKing
    MorganFreemanKing Members Posts: 4,282 ✭✭✭✭✭
    edited April 2011
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    Nope it's 2. Gotta completely solve the parentheses until they're no longer present first.
  • UPTOWN
    UPTOWN Members, Moderators, Writer Posts: 13,009 Regulator
    edited April 2011
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    cuttadc13 wrote: »
    48÷2*(9+3) = 48÷2*(12) = 48÷24 = 2

    explain to me why you wouldn't do it this way and I'll leave it alone...
    no matter how u look at it...you do parenthesis first, multiply the 2 towards the 12 thats still in parenthesis(there is no argument to that...NONE..so don't try to make one up) and then u do the simple left over division...you get 2. YOU DONT DIVIDE BEFORE YOU MULTIPLY!!..thats basic algebra, u do left to right when the problem is completely broken down, not during. This problem is not supposed to be that difficult. yall making up rules n ?

    they are saying the parenthesis go away after you do 9 + 3 ... which is true. then you would have to do the division first because its on the left. division and multiplication are technically the same operations they are just opposites like adding is opposite to subtraction. so i see what you're saying and i see what they are saying but the main thing about this is something that no one has picked up on yet ... i think fiat did tho but i guess he didnt see me quote him cause he never responded
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