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48÷2(9+3) = ???

  • 17-06-2012 3:29am
    #1
    Registered Users, Registered Users 2 Posts: 52 ✭✭


    a) 2

    b) 288


«1

Comments

  • Closed Accounts Posts: 11,631 ✭✭✭✭Hank Scorpio


    bomdas would say it's 2, strange thread :)


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    nuxxx wrote: »
    bomdas would say it's 2, strange thread :)

    Who's Bomdas? Does he post?

    Anyway, he would be wrong.


  • Registered Users, Registered Users 2 Posts: 125 ✭✭Madame K


    nuxxx wrote: »
    bomdas would say it's 2, strange thread :)

    PEMDAS would agree.

    *shrugs*


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    Madame K wrote: »
    PEMDAS would agree.

    *shrugs*

    Sorry, wrong. PEMDAS would not say 2 unless he was smoking too much pot.


  • Registered Users, Registered Users 2 Posts: 248 ✭✭bytesize


    yeah the answer is 2.

    The rules states that you always do what's in the brackets first. then directly related to the brackets. Then based on signs outside you do those.

    First: 9+3=12
    Then: 2*12=24
    Then: 48÷24=2

    Simples


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  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Do you know what a binary operation is?


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    bytesize wrote: »
    yeah the answer is 2.

    The rules states that you always do what's in the brackets first. then directly related to the brackets. Then based on signs outside you do those.

    First: 9+3=12 Yep
    Then: 2*12=24 Nope
    Then: 48÷24=2

    Simples


    Sorry, spin again.


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    Do you know what a binary operation is?


    Who is "you"?


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Who is "you"?

    Obviously you, though you raise an interesting psycho-philosophical point on the nature of identity...

    I think I just noticed the irony in asking the question...


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    Obviously you, though you raise an interesting psycho-philosophical point on the nature of identity...

    It wasn't obvious since your post A) didn't quote anyone and B) followed a post of someone other than me.

    So, what do you think the answer is? Do you think it is 2?


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  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    It wasn't obvious since your post A) didn't quote anyone and B) followed a post of someone other than me.

    So, what do you think the answer is? Do you think it is 2?

    Yes, I think it's 2, you got me. Do you know what a binary operation is?


  • Registered Users, Registered Users 2 Posts: 117 ✭✭cedan


    56457-192881-imagesCAW7757Cjpg-620x.jpg

    Oh dear


  • Registered Users, Registered Users 2 Posts: 248 ✭✭bytesize


    Charles I can see where you are coming from.

    You are assuming that once we finish with the 9+3 inside the brackets, then we are finished with them and we should move on to working from the left to right.

    But that is not the case. The brackets must first be removed completely before we can move to the next set of steps. Therefore we must multiply what is directly connected to the brackets and then we can work with the ÷.


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    Yes, I think it's 2, you got me. Do you know what a binary operation is?


    It's 288. You'd be surprised how many engineers and mathematicians mistakenly would say it was 2. Makes me wonder how many designs have failed due to a careless math mistake. "Ya, it's 2. Now, let's go to production and build the plane...." Then they wonder why the plane crashed.

    Go ahead, tell us what a binary operation is.


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    bytesize wrote: »
    Charles I can see where you are coming from.

    You are assuming that once we finish with the 9+3 inside the brackets, then we are finished with them and we should move on to working from the left to right.

    But that is not the case. The brackets must first be removed completely before we can move to the next set of steps. Therefore we must multiply what is directly connected to the brackets and then we can work with the ÷.

    Matlab, Google, and Excel all assume the same things I do. So do the rules of the order of operations.

    pemdas.jpg

    google.jpg

    math.jpg


  • Closed Accounts Posts: 4,372 ✭✭✭im invisible


    I dont know, but i do know there are 16 cups in a gallon, if thats any help


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    I dont know, but i do know there are 16 cups in a gallon, if thats any help


    That wouldn't even help on this thread:

    More A in B or more B in A?


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    It's 288. You'd be surprised how many engineers and mathematicians mistakenly would say it was 2. Makes me wonder how many designs have failed due to a careless math mistake. "Ya, it's 2. Now, let's go to production and build the plane...." Then they wonder why the plane crashed.

    Do you agree that I can write 2÷4 as 2·(4)⁻¹?
    2/4 = 2÷4 = 2·(4)⁻¹
    48÷2(9+3) = 48·[2(9+3)]⁻¹ = 48·[24]⁻¹ = 48÷24 = 2
    What's wrong with this, what iron-clad rule of logic have I broken to cause a future challenger to crash?


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Did you know that particle physicists think the speed of light is 1? What fools - google says otherwise :rolleyes:


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    48÷2(9+3) = 48·[2(9+3)]⁻¹
    What's wrong with this?


    The problem as written is 288 doesn't equal 2.

    These aren't equal to each other.


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  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    these aren't equal to each other.

    Why not?


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    Why not?


    Because the left side of the equals sign is 288 and the right side is 2.


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Because the left side of the equals sign is 288 and the right side is 2.

    So in other words you disagree that 2÷4 = 2·(4)⁻¹, which implies you're making no sense...


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    you're making no sense...

    It is 288.


  • Registered Users, Registered Users 2 Posts: 943 ✭✭✭kenyard


    why do they have to make things like this. if you type it into an excel sheet it will tell you you are missing brackets... and its right. there needs to be one more set orf brackets to specify exactly what to do and until such a time as they are added, the answer can be either or.
    my 2c.
    interesting to see the top post on this page though which actually lists the orders to do stuffs in when its "wrong"


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    It is 288.

    Why?


    One of Bertrand Russell’s lesser-known pro-secular works is a 1951 piece for New York Times Magazine called “The Best Answer to Fanaticism: Liberalism.” In this, he wrote a “Liberal Decalogue,” what might be better called today a “Secular 10 Commandments”:

    ...

    4. When you meet with opposition, even if it should be from your husband or your children, endeavour to overcome it by argument and not by authority, for a victory dependent upon authority is unreal and illusory.
    http://commonsenseatheism.com/?p=10937


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    kenyard wrote: »
    if you type it into an excel sheet it will tell you you are missing brackets...

    No it (Excel 2010) doesn't:

    math.jpg


  • Registered Users, Registered Users 2 Posts: 3,943 ✭✭✭wonderfulname


    I see your problem, google etc is seeing (48÷2)(9+3) as opposed to 48/2(9+3), multiplying unnecessarily, the answer is 2, 288 is an error I find it hard to believe you actually see as true given we're talking about a primary school level of maths, someone found a curio on the interwebs and decided to troll the mathematicians?


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    the answer is 2, 288 is an error

    The answer is 288.


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  • Registered Users, Registered Users 2 Posts: 16,119 ✭✭✭✭event


    if ye knew the answer, why did you ask the question?


  • Registered Users, Registered Users 2 Posts: 3,943 ✭✭✭wonderfulname


    Well if you're going to keep parroting that line you may as well pick an example where the answer is 42...

    Do you understand the difference between how humans and computers process information?


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688



    Do you understand the difference between how humans and computers process information?

    I don't know if I understand the difference, but that is irrelevant to the math problem in the original post.


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    event wrote: »
    if ye knew the answer, why did you ask the question?

    To increase the click count on this website?


  • Registered Users, Registered Users 2 Posts: 4,056 ✭✭✭Sparks43


    Well if you're going to keep parroting that line you may as well pick an example where the answer is 42...


    The answer is 42 and always will be


    Now whats that damn question:D


  • Registered Users, Registered Users 2 Posts: 2,945 ✭✭✭D-Generate


    Silly question due to the presentation of the questiona as an inline query. If the question were to be posed by someone writing it on a piece of paper the true syntax of the query would be evident as the brackets would either be placed as the numerator or denominator of the operation or adjacent to the division operation altogether.

    As much as it pains me to say this, technically the correct answer as per the rules of maths would be 2. However, that being said, I would expect a computer to evaluate it as 244 as it assumes a structure similar to that which someone would write out.


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  • Closed Accounts Posts: 655 ✭✭✭hyperborean


    D-Generate wrote: »
    Silly question due to the presentation of the questiona as an inline query. If the question were to be posed by someone writing it on a piece of paper the true syntax of the query would be evident as the brackets would either be placed as the numerator or denominator of the operation or adjacent to the division operation altogether.

    As much as it pains me to say this, technically the correct answer as per the rules of maths would be 2. However, that being said, I would expect a computer to evaluate it as 244 as it assumes a structure similar to that which someone would write out.
    You should throw that computer in the bin,


    Its 288, reply and answer


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    You should throw that computer in the bin,


    Its 288, reply and answer

    Think you were logged into the wrong troll account in responding here...


  • Closed Accounts Posts: 4,372 ✭✭✭im invisible


    he might have, but it is 288.

    do inside brackets first, then multiply/divide from left to right


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    he might have, but it is 288.

    do inside brackets first, then multiply/divide from left to right

    By what law of nature is that the correct procedure to follow?


  • Closed Accounts Posts: 4,372 ✭✭✭im invisible


    bomdas/ bedmas/ whatever your having yourself


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  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    bomdas/ bedmas/ whatever your having yourself

    Lets take what I'm having, where in this list can we justify that only one of the ways is correct?


  • Registered Users, Registered Users 2 Posts: 13,075 ✭✭✭✭bnt


    If you do this on a computer, you usually have to explicitly insert the * before the brackets - and when you do that there's no ambiguity. Because brackets are first in the BOMDAS order, the natural tendency is to evaluate them first until they're gone. I have two calculators (HP 35s, Casio FX-991ES) that understand the x(y) notation without adding a *, and both also give me 288.

    But there's no point getting all dramatic about this. If I was writing that down, I wouldn't allow that ambiguity to occur in the first place.

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • Closed Accounts Posts: 221 ✭✭lestat21


    The fact that such a simple question has caused so much confusion on the maths thread made me smile... 48 / 2(9+3) =

    Brackets first 9+3 = 12
    No indices to worry bout (sorry charles)
    Multiplication 12 x 2 = 24
    Division 48/24 = 2

    the only way you could get 288 is if the division and multiplication operations changed places
    48 x 2 /(9+3) = 288


  • Registered Users, Registered Users 2 Posts: 16,119 ✭✭✭✭event


    To increase the click count on this website?

    you're asking a question there again.
    Do you not know why you asked the question?


  • Registered Users, Registered Users 2 Posts: 5,633 ✭✭✭TheBody


    Bad maths makes baby Jesus cry!!


  • Closed Accounts Posts: 4,372 ✭✭✭im invisible


    last edited by lestat21; Today at 20:23. Reason: Math Error
    indeed


  • Closed Accounts Posts: 2,639 ✭✭✭Miss Lockhart


    Despite this being a well-known meme/troll around a long time, it is an interesting question.

    I would say 288 according to BEMDAS.

    Brackets
    Exponents
    Multiplication/Division
    Addition/Subtraction

    Multiplication/Division and Addition/Subtraction have equal priority and should be carried out from left to right.

    I think part of the problem is that people seem think that they must follow BEMDAS in that exact order. Note that in many places BEDMAS is taught, reversing the D and M. Doesn't matter because they have equal priority.

    As others have said, the whole problem is caused by very poor notation that would not be acceptable in any serious context.

    I also see where the "2" people are coming from. In fact I naturally lean to this method because I naturally seem to give priority to implied multiplication such as the 2(12) part. But I overrule that urge because I have been taught to follow the order of operations a certain way.


  • Registered Users, Registered Users 2 Posts: 14,404 ✭✭✭✭Pembily


    Think you were logged into the wrong troll account in responding here...

    Please keep on topic and if you have an issue with a post report the post, don't make assumptions on posters.


  • Registered Users, Registered Users 2 Posts: 5,141 ✭✭✭Yakuza


    48÷2(9+3)

    Re-writing with the implied multiplication before the brackets:
    48÷2x(9+3)

    Resolve the term in the brackets:
    48÷2x(12) = 48÷2x12

    These are equivalent as multiplication is commutative:
    48÷2x12 = 12x48x÷2

    No matter what way you cut it, the answer is 288.
    The only way the answer could be 2 would be if the original formula was written as:
    48÷(2(9+3)).

    As stated previously BODMAS dictates how these things are calculated, any deviations from this are, well, deviant!


  • Registered Users, Registered Users 2 Posts: 52 ✭✭charles_92688


    lestat21 wrote: »
    The fact that such a simple question has caused so much confusion on the maths thread made me smile... 48 / 2(9+3) =

    Brackets first 9+3 = 12
    No indices to worry bout (sorry charles)
    Multiplication 12 x 2 = 24
    Division 48/24 = 2

    the only way you could get 288 is if the division and multiplication operations changed places
    48 x 2 /(9+3) = 288


    Yes, 9 + 3 = 12 so you're left with

    48÷2*12

    At this point the correct (and there is only one "correct") operation is to divide 48 by 2 then multiply by 12 which turns into 24*12 = 288. There is no other way to approach this. It is not ambiguous. It is not open to interpretation.

    Those who try to weasel word it into an answer of 2 by claiming something about humans and computers "thinking" differently or "it would be nice if there were extra brackets" or "nobody would ever write it that way" are wrong.

    The correct answer is 288.


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