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Lame ass maths riddle

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  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    Work from left to right, breaking the equation into sections (and using BOMDAS as your guide).

    The answer is 0.6
    Only if you ignore precedence and associativity rules. You do not multiply 2(5) before dividing 30 by 2. The "B" in BOMDAS only refers to operations inside brackets. 2(5) is just shorthand for 2 * 5, and 30 ÷ 2 * 5 ÷ 5 is 15

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  • Registered Users Posts: 1,405 ✭✭✭RHunce


    MJRS wrote: »
    I thought multiplication and division were equal priority so you just do left to right? Hence the acronym being BOMDAS or BODMAS, both are valid. Isn't this one of loads of maths problems with two provable correct answers?

    Got this from the ever reliable wiki "These mnemonics may be misleading,
    especially if the user is not aware that
    multiplication and division are of equal
    precedence, as are addition and subtraction."

    What about BIRDMAS brackets, indices, roots, division, multiplication, addition and subtraction? Same answer anyway
    What is

    Is it 15?

    or 0.6?
    ...
    Or is this question broken?

    30÷2(2+3)÷5

    30÷(2)(5)÷5

    (30÷10)÷5

    3÷5 = .6


  • Closed Accounts Posts: 732 ✭✭✭Kadongy


    1290616506315.jpg
    This is true for a pixel representation of a circle (but not for an actual circle of course).


  • Registered Users Posts: 39,302 ✭✭✭✭Mellor


    ClutchIt wrote: »
    The question is broken really. Even though there is a correct way of doing it, anyone who writes an equation in that fashion is an ignoramus
    nobody would write an quetion that way, the whole purpose of writing it that way is to confuse people with a weak understanding
    RHunce wrote: »
    What about BIRDMAS brackets, indices, roots, division, multiplication, addition and subtraction? Same answer anyway

    30÷(2)(5)÷5

    (30÷10)÷5

    You realise that you can't get from to (30÷10)÷5
    You just applied the division sign to the first 5, which is retarded.
    You can't multiply 2 inside the brackets when there is a ÷ sign before it. Only + or -

    30÷(2)(5)÷5
    15(5)÷5

    I imagine you can finish from there:rolleyes:


  • Registered Users Posts: 1,405 ✭✭✭RHunce


    Mellor wrote: »
    You realise that you can't get from to (30÷10)÷5
    You just applied the division sign to the first 5, which is retarded.
    You can't multiply 2 inside the brackets when there is a ÷ sign before it. Only + or -

    30÷(2)(5)÷5
    15(5)÷5

    I imagine you can finish from there:rolleyes:

    My B2 in Honours Maths says otherwise :pac:


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  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    RHunce wrote: »
    30÷2(2+3)÷5

    30÷(2)(5)÷5

    (30÷10)÷5

    3÷5 = .6
    Why are you multiplying (2)(5) first? How is 30÷(2)(5)÷5 any different to 30÷2*5÷5?

    Again, brackets precedence only applies to operations inside the brackets

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  • Registered Users Posts: 818 ✭✭✭Triangla


    Typed equation exactly as typed into my scientific calculator, answer is 0.6.


  • Closed Accounts Posts: 1,483 ✭✭✭ManFromAtlantis


    RHunce wrote: »
    My B2 in Honours Maths says otherwise :pac:

    what would a B2 be worth when maths was maths in the 70's or 80's ?


  • Registered Users Posts: 1,405 ✭✭✭RHunce


    Still maths pal, I'm not doing that project maths ****e, don't be bitter because you did OL


  • Registered Users Posts: 750 ✭✭✭onlyrocknroll


    Wow the standard of this debate has really nosedived.


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  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    RHunce wrote: »
    Still maths pal, I'm not doing that project maths ****e, don't be bitter because you did OL
    But you're wrong. The answer is 15. Go back and read the thread

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  • Registered Users Posts: 39,302 ✭✭✭✭Mellor


    RHunce wrote: »
    My B2 in Honours Maths says otherwise :pac:
    LMFAO

    Maybe if you knew what you were doing you would of goten an A2, like i did :cool:
    Triangla wrote: »
    Typed equation exactly as typed into my scientific calculator, answer is 0.6.

    I'm not going to be so silly as to say the calculator is wrong, but I guarantee you that you typed it in wrong.
    It's a well know problem, its exists in many forms.


  • Registered Users Posts: 750 ✭✭✭onlyrocknroll


    Mellor wrote: »
    LMFAO

    Maybe if you knew what you were doing you would of goten an A2, like i did :cool:



    I'm not going to be so silly as to say the calculator is wrong, but I guarantee you that you typed it in wrong.
    It's a well know problem, its exists in many forms.

    Mellor can you please post a link that explains why your way is correct and the other is wrong. I was sure it was 15 at first until I was convinced otherwise, now it's annoying me.


  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    Mellor can you please post a link that explains why your way is correct and the other is wrong. I was sure it was 15 at first until I was convinced otherwise, now it's annoying me.
    What parts of these posts don't you understand?
    28064212 wrote: »
    It's 15. The only way it could be 0.6 is if you redefine 5(2+3) to mean (5 * (2+3)) instead of 5 * (2+3). Bracket notation for multiplication is just shorthand, it doesn't change the precedence.

    30÷2(2+3)÷5
    = 30÷2(5)÷5
    = 30÷2*5÷5 (÷ and * have equal precedence and are left-associative, so you do them left-to-right)
    = 15*5÷5
    = 75÷5
    = 15

    The bolded part is where most people make their mistake. "Brackets first" means you calculate what is inside the brackets first. when brackets are used for multiplication it is just shorthand for *.
    28064212 wrote: »
    Google puts in brackets for clarification, it doesn't change the precedence. Put in 6 - 2 * 3 and it will "change" it to 6 - (2 * 3).

    The only way there's ambiguity is if you change 2(5) to mean something different to 2 * 5
    28064212 wrote: »
    Only if you ignore precedence and associativity rules. You do not multiply 2(5) before dividing 30 by 2. The "B" in BOMDAS only refers to operations inside brackets. 2(5) is just shorthand for 2 * 5, and 30 ÷ 2 * 5 ÷ 5 is 15
    28064212 wrote: »
    Why are you multiplying (2)(5) first? How is 30÷(2)(5)÷5 any different to 30÷2*5÷5?

    Again, brackets precedence only applies to operations inside the brackets

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  • Registered Users Posts: 818 ✭✭✭Triangla




  • Registered Users Posts: 750 ✭✭✭onlyrocknroll


    28064212 wrote: »
    What parts of these posts don't you understand?

    I understand all these posts. However they are just people stated what rules they followed, rather than providing any evidence that these are the correct rules.

    Can you direct me somewhere where I can read an explanation of how to solve this correctly please.


  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    I understand all these posts. However they are just people stated what rules they followed, rather than providing any evidence that these are the correct rules.

    Can you direct me somewhere where I can read an explanation of how to solve this correctly please.
    Order of operations => Do what's inside the brackets first. All the other operations are of equal precedence (multiplication and division), so we look at...
    Operator associativity => multiplication and division are both left-associative, so are performed from left-to-right

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  • Registered Users Posts: 39,302 ✭✭✭✭Mellor


    I understand all these posts. However they are just people stated what rules they followed, rather than providing any evidence that these are the correct rules.

    Can you direct me somewhere where I can read an explanation of how to solve this correctly please.

    But anybody getting 0.6 isn't following the rules, they are bringing ÷2 inside the brackets. nowhere rules has been posted that allows that.

    30÷2(2+3)÷5 so we all agree that ÷5 is at the end and the 2+3 = 5, so this is the part that is confsuing people

    30÷2(5)

    What people are doing is multiplying ÷2 by 5 and getting ÷10 which is wrong. If it said ÷(2(5)) it wouls be fine but it doesn't, the ÷ sign is fixed to the 2

    ÷2(5) = ÷2x5 = x5÷2 = x2.5

    or

    ÷2 is the same as x(1/2) or x(.5), (.5)x(5)= x2.5


    Triangla - That's interesting.
    A google search suggests thats it not unheards of, casio calculators gettign confused. Apparently it's due to a built in coding to solve multiplication implied by brackets first. a rule that doesn't exist (its just the way people write) unless you believe 2(5) is different to 2x5,
    I imagine if you put a x sign before the bracket it returns 15. I hope we all agree that there is no difference.


  • Registered Users Posts: 39,302 ✭✭✭✭Mellor


    Another one I've seen is

    6÷2(1+2)

    Again, you can see the same structure. The brackets draw you attention to the right, where you end up with 6÷2(3) and get 1

    But it's wrong. 6÷2(3) is just shorthand. It should be re-written as 6÷2x3

    It's written in a confusing way on purpose. It should never have been like that to begin with


  • Registered Users Posts: 1,115 ✭✭✭magicianz


    Its clearly 8.1.....

    Thirty \ 4 + 3 \ 5

    7.5 + .6

    8.1 simples :)

    :3


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  • Registered Users Posts: 818 ✭✭✭Triangla


    http://math.about.com/library/weekly/aa040502a.htm

    Brackets are always dealt with first

    = 30÷2(2+3)÷5

    = 30÷2(5)÷5

    = 30÷10÷5

    = 0.6

    30÷2(2+3)÷5 is not the same as 30÷2*(2+3)÷5

    If the * was written in the initial equation the answer would be 15.

    = 30÷2*(2+3)÷5

    = 30÷2*(5)÷5

    = 30÷2*5÷5

    = 15*5÷5

    = 15

    The * is not written so the answer is 0.6


  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    Triangla wrote: »
    http://math.about.com/library/weekly/aa040502a.htm

    Brackets are always dealt with first
    That's not what the link says. The link says:
    Calculations in brackets are done first
    In. As in "inside". As in "not outside". Further down the page:
    Simplify inside groupings of parentheses, brackets and braces first
    Again, inside.

    It also says:
    Multiply and divide in the order the operations occur
    Note the total absence of any mention of treating multiplication differently because it's written in shorthand

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  • Registered Users Posts: 915 ✭✭✭Bloody Nipples


    The issue is that BEMDAS/BOMDAS as taught in Irish schools promotes the idea that brackets are done first, followed by exponents (no argument so far) but that multiplication and addition are given precedence over division and subtraction respectively.

    Upon asking my brother, a maths science student, apparently there's another method PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) taught in American schools and teaches the correct method which as 28046212 has shown, gives equal weighting to both multiplication and division and works left to right according to mathematical convention. Here's the link for those demanding evidence (if you're willing to accept wikipedia :pac:)
    http://en.wikipedia.org/wiki/Order_of_operations#The_standard_order_of_operations

    30÷2(3+2)÷5
    =30÷2(5)÷5

    This is where the issues begin. Yes, there are brackets written in, no they don't give 2(5) precedence in calculations.
    It can be written as 30÷2x5÷5 or 30÷2(5)÷5. It's irrelevant. The important thing is you work left to right, and it's also easier if instead of using a division sign you multiply by the reciprocal, so...

    30 x 1/2 x 5 x 1/5
    or 30 x 0.5 x 5 x 0.2 (to make it even simpler)
    = 15 x 5 x 0.2
    = 75 x 0.2
    = 15

    And bearing in mind people using calculators, different calculators follow different orders of operations. Most non-scientific calculators without a stack work left to right without any priority given to different operators.


  • Registered Users Posts: 915 ✭✭✭Bloody Nipples


    Triangla wrote: »
    http://math.about.com/library/weekly/aa040502a.htm

    Brackets are always dealt with first

    = 30÷2(2+3)÷5

    = 30÷2(5)÷5

    = 30÷10÷5

    = 0.6

    30÷2(2+3)÷5 is not the same as 30÷2*(2+3)÷5

    If the * was written in the initial equation the answer would be 15.

    = 30÷2*(2+3)÷5

    = 30÷2*(5)÷5

    = 30÷2*5÷5

    = 15*5÷5

    = 15

    The * is not written so the answer is 0.6

    The fact that it's a D(D) instead of D x D doesn't mean anything. It's a multiplication action and should be done at the same time as division.


  • Closed Accounts Posts: 131 ✭✭mikedone


    Untitled2.jpg


  • Registered Users Posts: 155 ✭✭superrdave


    Here's another one

    -20=-20
    16-36=25-45 (16-36=-20,25-45=-20)
    4^2-36 = 5^2-45 (4^2=16,5^2=25)
    4^2-36 = 5^2-45
    4^2-2.4.9/2 = 5^2-2.5.9/2 (2.4.9/2=36,2.5.9/2=45)
    4^2-2.4.9/2 +(9/2)^2 = 5^2-2.5.9/2 +(9/2)^2 (adding both the sides (9/2)^2
    [4-(9/2)]^2 = [5-(9/2)]^2 (let 4=a,9/2=b)
    4-(9/2) = 5-(9/2)

    4 = 5
    2+2 = 5

    And

    10x^2-19x=-6 =?

    Clever.... but the wrongness comes between the steps in bold above.

    If you look at it the first line says:

    [-1/2]^2 = [1/2]^2

    which is correct

    The next line thus says if you remove the square root, the results are equal, which is incorrect

    -1/2 = 1/2

    not correct

    the later lines to make 2+2=5 are just bull****.

    Much like this troll physics:

    tumblr_lbcjulx4Q01qe2mq3o1_1280.jpg?AWSAccessKeyId=AKIAJ6IHWSU3BX3X7X3Q&Expires=1307582447&Signature=LtFCqm0LfYoG34FO7Eb34SSGypM%3D

    The issue there is that the second last line is a fallacy. It is dividing by zero. 2*0 = 1*0 is correct but it does not mean 2=1.


  • Registered Users Posts: 593 ✭✭✭Cathy


    The fact that it's a D(D) instead of D x D doesn't mean anything. It's a multiplication action and should be done at the same time as division.

    30÷2(2+3)÷5 = 30÷2(5)÷5

    It doesn't make sense to say 30÷2(5)÷5 = 30÷2*5÷5. To me, 2(5)÷5 clearly indicates (2x5)÷5 as opposed to 2(5÷5)...

    My brain hurts.


  • Registered Users Posts: 39,302 ✭✭✭✭Mellor


    Triangla wrote: »
    Brackets are always dealt with first
    of course they are, the problem is you are getting the maths wrong.
    = 30÷2(2+3)÷5

    = 30÷2(5)÷5

    = 30÷10÷5


    = 0.6
    See the bolded lines, that's you mistake.
    Doing the ÷2(5) part first doesn't change the answer, the problem is that you are makign a mistake.

    ÷2(5) = 5/2 = x2.5

    It does not equalt ÷10. A simple proof would be reverse the order, ÷2(5) = (5)÷2
    30÷2(2+3)÷5 is not the same as 30÷2*(2+3)÷5

    em, yes it is.
    Cathy wrote: »
    30÷2(2+3)÷5 = 30÷2(5)÷5

    It doesn't make sense to say 30÷2(5)÷5 = 30÷2*5÷5. To me, 2(5)÷5 clearly indicates (2x5)÷5 as opposed to 2(5÷5)...

    My brain hurts.
    Are you serious???

    Of course 30÷2(5)÷5 and 30÷2*5÷5 are the same thing, even look at what you said afterwards.
    2(5)÷5 clearly indicates (2x5)÷5 as opposed to 2(5÷5)...

    (2x5)÷5 = (10)÷5 = 2

    2(5÷5) = 2(1) = 2

    The order of division doesn't matter, as long as you do it get the sums right
    ??????????


  • Registered Users Posts: 187 ✭✭Nadser


    Ok, know this thread is a bit old, but here's my input (degree in maths by the way)

    The question is 30/2(2+3)/5

    Re-write it as an algebraic problem

    Let x=30, y=2, z=3, w=5
    The problem becomes: x/y(y+z)/w
    x/(y^2+yz)/w

    Substitute in the values
    30/(4+6)/5
    30/10/5
    3/5 = 0.6


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  • Registered Users Posts: 10,626 ✭✭✭✭28064212


    Nadser wrote: »
    Ok, know this thread is a bit old, but here's my input (degree in maths by the way)

    The question is 30/2(2+3)/5

    Re-write it as an algebraic problem
    Why? You've made the same old mistake anyway
    Nadser wrote: »
    Let x=30, y=2, z=3, w=5
    The problem becomes: x/y(y+z)/w
    x/(y^2+yz)/w

    Substitute in the values
    30/(4+6)/5
    30/10/5
    3/5 = 0.6
    In the bolded line, why have you multiplied y * (y+z) instead of executing the operations left-to-right, given that multiplication and division have the same precedence?

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