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## Math: 6÷2(1+2) = ? | |

Anonymous Coward User ID: 1255402 Poland 05/03/2011 09:12 AM Report Abusive Post Report Copyright Violation | Alright, there's a lot of self-proclaimed experts around these parts. Let's see how your logic holds up against some basic mathematics. Quoting: 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 . SyriusSHILLTARD Alert!!! 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 Report Copyright Violation | |

Anonymous Coward User ID: 1304583 United States 05/03/2011 09:19 AM Report Abusive Post Report Copyright Violation | The answer is 9 Quoting: Multiplication and Division left to right at the same time! [link to en.wikipedia.org] The standard order of operations, or precedence, is expressed here: terms inside parenthesis exponents and roots multiplication and divisionaddition and subtraction 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 − 4 = 3 + (−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, √, 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. Anonymous Coward 1304583Fascinating. Wikipedia <3 So where does it say I should put the denominator 2(1+2) up there with the numerator 6?SyriusSyrius, using the mult inverse is simply a more complicated method for solving a very simple problem. The answer either way is 1! Quoting: ANNONYMOUS 1275893I 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.[link to www.purplemath.com] I fell into the trap 9 is the only correct answer Anonymous Coward 1362610I 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 Report Copyright Violation | The answer is 9 Quoting: Multiplication and Division left to right at the same time! [link to en.wikipedia.org] The standard order of operations, or precedence, is expressed here: terms inside parenthesis exponents and roots multiplication and divisionaddition and subtraction 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 − 4 = 3 + (−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, √, 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. Anonymous Coward 1304583Fascinating. Wikipedia <3 So where does it say I should put the denominator 2(1+2) up there with the numerator 6?Syrius6÷2(1+2) 6*1/2*3 = 9 |

Anonymous Coward User ID: 1267814 United States 05/03/2011 09:27 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 1296336 United States 05/03/2011 09:29 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 1304583 United States 05/03/2011 09:29 AM Report Abusive Post Report Copyright Violation | |

Syrius (OP)User ID: 1289074 United States 05/03/2011 09:30 AM Report Abusive Post Report Copyright Violation | 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 Report Copyright Violation | |

Anonymous Coward User ID: 1304583 United States 05/03/2011 09:34 AM Report Abusive Post Report Copyright Violation | 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. Syrius6*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 Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 1304583 United States 05/03/2011 09:35 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 841362 United States 05/03/2011 09:39 AM Report Abusive Post Report Copyright Violation | |

Syrius (OP)User ID: 1289074 United States 05/03/2011 09:40 AM Report Abusive Post Report Copyright Violation | op is a fucktard Quoting: your explanation just backed up 9 is the correct answer yet you think its 1 its 9 Anonymous Coward 282423Anonymous Coward 1304583I 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 Report Abusive Post Report Copyright Violation | op is a fucktard Quoting: your explanation just backed up 9 is the correct answer yet you think its 1 its 9 Anonymous Coward 282423Anonymous Coward 1304583I 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). Syriusthere'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 Report Abusive Post Report Copyright Violation | op is a fucktard Quoting: your explanation just backed up 9 is the correct answer yet you think its 1 its 9 Anonymous Coward 282423Anonymous Coward 1304583I 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). Syrius6 ______ 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 Report Copyright Violation | op is a fucktard Quoting: your explanation just backed up 9 is the correct answer yet you think its 1 its 9 Anonymous Coward 282423Anonymous Coward 1304583I 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). Syriusyou 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 Report Copyright Violation | |

Anonymous Coward User ID: 1283712 Australia 05/03/2011 09:49 AM Report Abusive Post Report Copyright Violation | 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 Report Abusive Post Report Copyright Violation | op is a fucktard Quoting: your explanation just backed up 9 is the correct answer yet you think its 1 its 9 Anonymous Coward 282423Anonymous Coward 1304583I 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). Syrius6 ______ 2(1+2) Does not equal 6÷2(1+2). Anonymous Coward 1310492Yes, it does. Solidus, much? [link to mathworld.wolfram.com] All around me are familiar faces... Worn out places...Worn out faces... |

acolyteUser ID: 1368014 South Africa 05/03/2011 09:49 AM Report Abusive Post Report Copyright Violation | 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 Report Copyright Violation | |

Anonymous Coward User ID: 1357662 United States 05/03/2011 09:52 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 1368005 Estonia 05/03/2011 09:53 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 1368189 Austria 05/03/2011 09:53 AM Report Abusive Post Report Copyright Violation | 6/2(1+2)... or 6÷2*(1+2)= 9 [link to www.google.com] 6÷(2*(1+2))= 1 6 ______ = 1 2*(1+2) [link to www.google.com] |

Syrius (OP)User ID: 1289074 United States 05/03/2011 09:54 AM Report Abusive Post Report Copyright Violation | ...Anonymous Coward 1304583I 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). Syrius6 ______ 2(1+2) Does not equal 6÷2(1+2). Anonymous Coward 1310492Yes, it does. Solidus, much? [link to mathworld.wolfram.com] SyriusAll 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 Report Copyright Violation | |

Anonymous Coward User ID: 1327341 South Africa 05/03/2011 09:55 AM Report Abusive Post Report Copyright Violation | Oh Boy, I'm representing our South African Education system here during apartheid years. Quoting: 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 acolyteI proved this on the previous page. End of thread. |

Anonymous Coward User ID: 1357662 United States 05/03/2011 09:55 AM Report Abusive Post Report Copyright Violation | Oh Boy, I'm representing our South African Education system here during apartheid years. Quoting: 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 acolyteWow 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 Report Copyright Violation | Oh Boy, I'm representing our South African Education system here during apartheid years. Quoting: 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 acolyteI proved this on the previous page. End of thread. Anonymous Coward 1327341[link to mathworld.wolfram.com] Last Edited by Stoygon on 05/03/2011 09:57 AM All around me are familiar faces... Worn out places...Worn out faces... |

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