48 ÷ 2(9 + 3)=?

Discussion in 'Detailing Bliss Lounge' started by JoeyV, Apr 13, 2011.

  1. JoeyV

    JoeyV Welcome to Detailing

    48 ÷ 2(9 + 3)=?

    Let's see what you guys get. Please explain how and why you get your answer.

    BTW, there is only ONE correct answer.


    SPOILER!!!!!!!!!!!
    Actually, I'm going to spoil it for you guys right now. The correct answer to it is as follows: "bad math. this question is incomplete"

    The only way to get either answer; 2 or 288 is as follows:


    48 ÷ (2(9 + 3))=2
    (48 ÷ 2)(9 + 3)=288

    in both those situations, another set of bracket/parentheses is added to set the order of operations and thus making the question completable.

    However, when the context of the origin of this question is included (It was originally asked in a 6th grade math text book where algebra is not taught yet) then the answer being sought after is 288 because of BEDMAS operations. Between the 2 and the opening bracket, there is an "invisible" multiplication sign. The math would be as follows:

    48 ÷ 2(9 + 3)=?
    48 ÷ 2(12)=?
    48 ÷ 2 x 12=?
    24 x 12=288
     
  2. dsms

    dsms DB Forum Supporter

    2.

    Order of operations.
    9+3 = 12
    2(12) = 24
    48/24 = 2
     
  3. JoeyV

    JoeyV Welcome to Detailing

    Order of operations would give you a different answer. 48 is divided by 2 before multiplying by 12. Why are you multiplying 2 by 12 before dividing into 48?


    (PS, you have the wrong answer)
     
  4. mrgolfrider

    mrgolfrider DB Forum Supporter

    Really? I'm sorry but I agree with Dave, you might want to take a look at your method.

    Sent from my HTC Vision using Tapatalk
     
  5. Reflect

    Reflect DB Forum Supporter

    Lmao, this was on Bodybuilding.com a few days ago.

    There was a debate on a physics forum after this and I think the reigning answer was 288. It has to do with the correct order of operations and if the PEMDAS method is actually correct, which I don't think it is in this circumstance.

    Something about the application of the division symbol too.
     
  6. JoeyV

    JoeyV Welcome to Detailing

    Actually, I'm going to spoil it for you guys right now. The correct answer to it is as follows: "bad math. this question is incomplete"

    The only way to get either answer; 2 or 288 is as follows:


    48 ÷ (2(9 + 3))=2
    (48 ÷ 2)(9 + 3)=288

    in both those situations, another set of bracket/parentheses is added to set the order of operations and thus making the question completable.

    However, when the context of the origin of this question is included (It was originally asked in a 6th grade math text book where algebra is not taught yet) then the answer being sought after is 288 because of BEDMAS operations. Between the 2 and the opening bracket, there is an "invisible" multiplication sign. The math would be as follows:

    48 ÷ 2(9 + 3)=?
    48 ÷ 2(12)=?
    48 ÷ 2 x 12=?
    24 x 12=288
     
  7. v|nsan|ty

    v|nsan|ty Obsessive Detailer

    Lol there is a gong show of a thread going on at 780tuners. It's a poorly worded question that would never be examined upon in higher level studies.
     
  8. JoeyV

    JoeyV Welcome to Detailing

    So, basically, you're repeating what I just said :p The question, as asked, is impossible to answer without either completing the question, or including the context of where it's being asked.
     
  9. Misha

    Misha Nuba Guru

    calculator gave answer of 288 but if i did it i would get answer of 2

    its the way they wrote it is confusing everybody
    if they wrote it as
    48 : 2 x (9+3) would be less confusing
     
  10. rfinkle2

    rfinkle2 DB Forum Supporter

    you could also apply foil...

    48 / 2 (9+3) = x

    48 / 2(9) + 2(3) = x

    48/ 18+6 = x

    48/ 24 = x

    2= x
     
  11. JoeyV

    JoeyV Welcome to Detailing

    ^ Actually, no you couldn't, because the division sign is used, not ther "over" sign. The question is not 48 / 2 ( 9 + 3 )=?...it is 48 ÷ 2(9 + 3)=?

    Again, the incomplete question makes for misinterpretations that lead to different methodologies and results.
     
  12. rfinkle2

    rfinkle2 DB Forum Supporter

    The division sign is not the over sign?

    PMDAS

    Parenthesis, Multiplication, Division, Addition, Subtraction.
     
  13. dfazekas

    dfazekas Birth of a Detailer

    Excel says 288

    =48/2*(9+3)
    288
     
  14. rfinkle2

    rfinkle2 DB Forum Supporter

    Excel states that it found in error, and adds the multiplication asterisk.
     
  15. Upper Class Detailing

    Upper Class Detailing DB Pro Supporter

    I say two possibilities:
    1. 2
    2. 288
    48 / 2(9+3)=....
    Brackets first (9+3) = 12
    Multiplication and division second....but you can do multiplication first or division first, it's up to you (there's no order)
    so you get 2 if you do multiplication first OR 288 if you do division first.
    Basically there are two answers.
     
  16. JoeyV

    JoeyV Welcome to Detailing

    No, it isn't. The division sign only divides the first number by the single following number, while the "over" sign dvides the first number by anything UNDER it. On a lateral math plain like this one, the "over" sign in on an angle and you cannot tell what is "below it" therefor assuming everything after it is "under" it. the "over" sign in the equation would look like this:

    __48__
    2(9+3)

    This would change the complete equation and make "2" the right answer, but because of the sign usage, we cannot properly determine what is actually being asked, again making my point that this question is incomplete.
     
  17. Kilo6_one

    Kilo6_one DB Forum Supporter

    OH GOD im having nightmares of math class.......... make it stop make it stop.
     
  18. JoeyV

    JoeyV Welcome to Detailing

    lol, sorry. Didn't mean to put you in pain.
     
  19. Kilo6_one

    Kilo6_one DB Forum Supporter

    its ok........... i called my support group. LOL
     
  20. spK

    spK DB Forum Supporter

    288 guys :)
     

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