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  # Math: 6÷2(1+2) = ?
  
  Anonymous Coward
  User ID: 1255402
  Poland
  05/03/2011 09:12 AM
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  Re: Math: 6÷2(1+2) = ?
  Alright, there's a lot of self-proclaimed experts around these parts. Let's see how your logic holds up against some basic mathematics.
  
  6÷2(1+2) = ?
  
  I'll give two hints. This is NOT a trick question, and there is only 1 correct answer.
  
  All tools used for computation are fair game.
  
  (Yes, I saw this somewhere else and decided to post it here.)
  
  Best of luck to all you geniuses .
  Quoting: Syrius
  
  This thread is created to divert the attention away from Obama and his lies.
  Anonymous Coward
  User ID: 1259266
  United States
  05/03/2011 09:15 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Christ why are we doing this again? It's the same problem as before with different numbers.
  Quoting: Anonymous Coward 1284566
  
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:19 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Multiplication and Division left to right at the same time!
  
  The standard order of operations, or precedence, is expressed here:
  
  terms inside parenthesis
  exponents and roots
  multiplication and division
  
  This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.
  
  It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 &#8722; 4 = 3 + (&#8722;4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.
  
  The root symbol, &#8730;, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.
  
  Stacked exponents are applied from the top down.
  
  Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.
  Quoting: Anonymous Coward 1304583
  
  Fascinating. Wikipedia <3
  
  So where does it say I should put the denominator 2(1+2) up there with the numerator 6?
  Quoting: Syrius
  
  Syrius, using the mult inverse is simply a more complicated method for solving a very simple problem. The answer either way is 1!
  Quoting: ANNONYMOUS 1275893
  
  I thought so to at first but forgot that multiplication and division are at the same level, in which case you MUST work left to right.
  
  A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This tells you the ranks of the operations: Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. For instance, 15 ÷ 3 × 4 is not 15 ÷ 12, but is rather 5 × 4, because, going from left to right, you get to the division first. If you're not sure of this, test it in your calculator, which has been programmed with the Order of Operations hierarchy.
  
  I fell into the trap
  
  9 is the only correct answer
  Quoting: Anonymous Coward 1362610
  
  I thought it was 1 at first too then I remembered you do multiplication and division, addition and subtraction at the same time left to right.
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:22 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Multiplication and Division left to right at the same time!
  
  The standard order of operations, or precedence, is expressed here:
  
  terms inside parenthesis
  exponents and roots
  multiplication and division
  
  This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.
  
  It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 &#8722; 4 = 3 + (&#8722;4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.
  
  The root symbol, &#8730;, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.
  
  Stacked exponents are applied from the top down.
  
  Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.
  Quoting: Anonymous Coward 1304583
  
  Fascinating. Wikipedia <3
  
  So where does it say I should put the denominator 2(1+2) up there with the numerator 6?
  Quoting: Syrius
  
  6÷2(1+2)
  
  6*1/2*3 = 9
  Anonymous Coward
  User ID: 1267814
  United States
  05/03/2011 09:27 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  PEMDAS
  please excuse my dear aunt sally
  
  order of operations to do first
  parenthesis
  exponents
  multiplication
  division
  subtraction
  
  1+2=3
  6/2 = 3
  3(3)= 9
  
  hopefully I followed the rules above
  Anonymous Coward
  User ID: 1296336
  United States
  05/03/2011 09:29 AM
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  Re: Math: 6÷2(1+2) = ?
  It's 1, thx for playing.
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:29 AM
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  Re: Math: 6÷2(1+2) = ?
  6÷2(1+2)
  
  =
  
  6*1/2(1+2)
  
  either way you do this new equal equation its 9
  when its only multiplication it doesn't matter if you go left to right on that step
  Syrius (OP)
  
  User ID: 1289074
  United States
  05/03/2011 09:30 AM
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  Re: Math: 6÷2(1+2) = ?
  We linearize simple formulas, using the rule that multiplication indicated by juxtaposition is carried out before division.*
  
  Now, did I write this equation 6/2x1+2? No.
  
  It's: 6÷2(1+2)
  
  However, it would be a fallacy to imply that 2(1+2) is multiplied first because of juxtaposition because we are not dealing with variables.
  
  We're dealing with fractions. There is no other way to correctly annotate this linearly without causing more confusion or using extra parenthesis (brackets) *[]*
  
  Good day.
  All around me are familiar faces... Worn out places...Worn out faces...
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:33 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:34 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  We linearize simple formulas, using the rule that multiplication indicated by juxtaposition is carried out before division.*
  
  Now, did I write this equation 6/2x1+2? No.
  
  It's: 6÷2(1+2)
  
  However, it would be a fallacy to imply that 2(1+2) is multiplied first because of juxtaposition because we are not dealing with variables.
  
  We're dealing with fractions. There is no other way to correctly annotate this linearly without causing more confusion or using extra parenthesis (brackets) *[]*
  
  Good day.
  Quoting: Syrius
  
  6*1/2(1+2)
  
  6÷2 =3
  6*1/2 =3
  
  If you think its 1 you are wrong
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:35 AM
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  Re: Math: 6÷2(1+2) = ?
  6 divided by 2 multiply by 3
  
  equals 3 multiply by 3
  
  = 9
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:35 AM
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  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  Anonymous Coward
  User ID: 841362
  United States
  05/03/2011 09:39 AM
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  Re: Math: 6÷2(1+2) = ?
  PEMDAS
  please excuse my dear aunt sally
  
  order of operations to do first
  parenthesis
  exponents
  multiplication
  division
  subtraction
  
  1+2=3
  6/2 = 3
  3(3)= 9
  
  hopefully I followed the rules above
  Quoting: Anonymous Coward 1267814
  
  nope you did not.
  Syrius (OP)
  
  User ID: 1289074
  United States
  05/03/2011 09:40 AM
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  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a thread's title?
  
  Oh, 6÷2(1+2).
  
  Last Edited by Stoygon on 05/03/2011 09:41 AM
  All around me are familiar faces... Worn out places...Worn out faces...
  Anonymous Coward
  User ID: 1304583
  United States
  05/03/2011 09:41 AM
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  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a post's title?
  
  Oh, 6÷2(1+2).
  Quoting: Syrius
  
  there's nothing wrong with the equation except you got the answer wrong when its written that way
  Anonymous Coward
  User ID: 1310492
  Netherlands
  05/03/2011 09:42 AM
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  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a thread's title?
  
  Oh, 6÷2(1+2).
  Quoting: Syrius
  
  6
  ______
  2(1+2)
  
  Does not equal
  
  6÷2(1+2).
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:45 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a thread's title?
  
  Oh, 6÷2(1+2).
  Quoting: Syrius
  
  you didnt express it as a fraction
  
  order of operations as you wrote it is 9
  
  to get 1 it should be 6÷[2(1+2)]
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:47 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  op is still a fucktard
  
  you cant write a linear equation and calculate it like a fraction
  Anonymous Coward
  User ID: 1283712
  Australia
  05/03/2011 09:49 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  I think the confusion of the 1 vs 9 crowd is that the 1 crowd will try and convince you that the 2 has been factored out of whatever is in the parenthesis.
  
  This is a false assumption - why stop at the 2, how far do you go. Why not include the 6÷2 as the factor? It could equally be possible.
  
  So to state whatever outside the parenthesis is a factor is ambiguous as we don't know the history, and thus you must ignore it. You thus need to simply follow the rules of order of operations, and write it as such:
  
  6÷2*(1+2)
  
  INSIDE parenthesis first
  
  6÷2*(3)
  
  THERE is no more operations to be complete on the parenthesis now, so it can be dropped (remembering stating what is outside is a factor is ambiguous and must be ignored)
  
  6÷2*3
  
  division and multiplication are equal magnitude of preference so must work left to right
  
  3*3
  
  which leaves 9.
  Syrius (OP)
  
  User ID: 1289074
  United States
  05/03/2011 09:49 AM
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  Re: Math: 6÷2(1+2) = ?
  op is a fucktard
  
  yet you think its 1
  
  its 9
  Quoting: Anonymous Coward 282423
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a thread's title?
  
  Oh, 6÷2(1+2).
  Quoting: Syrius
  
  6
  ______
  2(1+2)
  
  Does not equal
  
  6÷2(1+2).
  Quoting: Anonymous Coward 1310492
  
  Yes, it does.
  
  Solidus, much?
  
  All around me are familiar faces... Worn out places...Worn out faces...
  acolyte
  
  User ID: 1368014
  South Africa
  05/03/2011 09:49 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Oh Boy, I'm representing our South African Education system here during apartheid years.
  
  first thing i remember: "÷" is not the same as "/" dont ask me why, I cant bluddy remember, but whenever you see "÷" you must put the unknown in parentheses which changes the direction form left to right TO right to left.
  
  "When dividing an [unknown] or [x] with "÷" put unknown in parenthesis and calculate first, then remove parenthesis"
  "When dividing an [unknown] or [x] with "/" all follow the same rank, left to right.
  
  thus
  
  6 ÷ 2(1+2) is not the same as 6/2(1+2)
  
  Using waht the OP gave us we have to use our parentheses on unknown and it looks like this:
  
  is 6 divided by [2(1+2)]
  
  6 divided by [2(3)]
  
  6 divided by [6] now remove parenthesis
  
  6/6
  = 1
  
  6/2(1+2) on the other hand is 9
  I will love the light for it shows me the way, yet I will endure the
  darkness for it shows me the stars. (Og Mandino)
  "Credo Quia Absurdum" (I believe it because it's absurd)
  Links to my forum on GLP are banned so just google "the chani project forum"
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:51 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  stupid op
  Anonymous Coward
  User ID: 1357662
  United States
  05/03/2011 09:52 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  6/2 = 3
  1+2 = 3
  3(3) = 3*3
  9
  
  Showed my work
  Quoting: patmac 1130776
  
  wow order of operations
  Anonymous Coward
  User ID: 1368005
  Estonia
  05/03/2011 09:53 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Anonymous Coward
  User ID: 1368189
  Austria
  05/03/2011 09:53 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  6/2(1+2)... or 6÷2*(1+2)= 9
  
  6÷(2*(1+2))= 1
  
  6
  ______ = 1
  2*(1+2)
  
  Syrius (OP)
  
  User ID: 1289074
  United States
  05/03/2011 09:54 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  ...
  
  Quoting: Anonymous Coward 1304583
  
  I love when people suffer from dementia.
  
  6
  ___ = ?
  
  2(1+2)
  
  How can I put that as a thread's title?
  
  Oh, 6÷2(1+2).
  Quoting: Syrius
  
  6
  ______
  2(1+2)
  
  Does not equal
  
  6÷2(1+2).
  Quoting: Anonymous Coward 1310492
  
  Yes, it does.
  
  Solidus, much?
  
  Quoting: Syrius
  
  All around me are familiar faces... Worn out places...Worn out faces...
  Anonymous Coward
  User ID: 282423
  Australia
  05/03/2011 09:54 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  gold for austria
  Anonymous Coward
  User ID: 1327341
  South Africa
  05/03/2011 09:55 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Oh Boy, I'm representing our South African Education system here during apartheid years.
  
  first thing i remember: "÷" is not the same as "/" dont ask me why, I cant bluddy remember, but whenever you see "÷" you must put the unknown in parentheses which changes the direction form left to right TO right to left.
  
  "When dividing an [unknown] or [x] with "÷" put unknown in parenthesis and calculate first, then remove parenthesis"
  "When dividing an [unknown] or [x] with "/" all follow the same rank, left to right.
  
  thus
  
  6 ÷ 2(1+2) is not the same as 6/2(1+2)
  
  Using waht the OP gave us we have to use our parentheses on unknown and it looks like this:
  
  is 6 divided by [2(1+2)]
  
  6 divided by [2(3)]
  
  6 divided by [6] now remove parenthesis
  
  6/6
  = 1
  
  6/2(1+2) on the other hand is 9
  Quoting: acolyte
  
  I proved this on the previous page.
  Anonymous Coward
  User ID: 1357662
  United States
  05/03/2011 09:55 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Oh Boy, I'm representing our South African Education system here during apartheid years.
  
  first thing i remember: "÷" is not the same as "/" dont ask me why, I cant bluddy remember, but whenever you see "÷" you must put the unknown in parentheses which changes the direction form left to right TO right to left.
  
  "When dividing an [unknown] or [x] with "÷" put unknown in parenthesis and calculate first, then remove parenthesis"
  "When dividing an [unknown] or [x] with "/" all follow the same rank, left to right.
  
  thus
  
  6 ÷ 2(1+2) is not the same as 6/2(1+2)
  
  Using waht the OP gave us we have to use our parentheses on unknown and it looks like this:
  
  is 6 divided by [2(1+2)]
  
  6 divided by [2(3)]
  
  6 divided by [6] now remove parenthesis
  
  6/6
  = 1
  
  6/2(1+2) on the other hand is 9
  Quoting: acolyte
  
  Wow and this is just confusing. Order of Operations. Is the order in which the signs function. Parenthesis first, Exponents, Mutiplication, Division, Addition, Subtraction. That why its 1.
  Syrius (OP)
  
  User ID: 1289074
  United States
  05/03/2011 09:56 AM
  Report Abusive Post
  Re: Math: 6÷2(1+2) = ?
  Oh Boy, I'm representing our South African Education system here during apartheid years.
  
  first thing i remember: "÷" is not the same as "/" dont ask me why, I cant bluddy remember, but whenever you see "÷" you must put the unknown in parentheses which changes the direction form left to right TO right to left.
  
  "When dividing an [unknown] or [x] with "÷" put unknown in parenthesis and calculate first, then remove parenthesis"
  "When dividing an [unknown] or [x] with "/" all follow the same rank, left to right.
  
  thus
  
  6 ÷ 2(1+2) is not the same as 6/2(1+2)
  
  Using waht the OP gave us we have to use our parentheses on unknown and it looks like this:
  
  is 6 divided by [2(1+2)]
  
  6 divided by [2(3)]
  
  6 divided by [6] now remove parenthesis
  
  6/6
  = 1
  
  6/2(1+2) on the other hand is 9
  Quoting: acolyte
  
  I proved this on the previous page.