## Math: 6÷2(1+2) = ? | |

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caper_26User ID: 32057798 Canada 01/21/2013 10:03 PM Report Abusive Post Report Copyright Violation | I have been quoting the laws of math since the beginning !! Nothing I said was from my ass! I am simply quoting math laws, principles, notation, etc... ONE MORE TIME: a ÷ a = 1 Any variable with no coefficient, has a 1. THEREFORE: a ÷ a = a ÷ 1a = 1 a ÷ a = a ÷ (1a) = 1 Fractional Coefficients REQUIRE ( ) if they use a SLASH instead of a horizontal line, EG: (6/2)n = 3n 6/2n = 3/n for the same reason that a/1a = 1 (6/2)(2+1) = 9 6/2(2+1) = 1 6(2+1)/2 = 9 6/(2+1)2 = 1 Here is how an OBELUS works: Obelus: The obelus is primarily used as a symbol for division Slash: Used between numbers slash means division, and in this sense the symbol may be read aloud as "over". Solidus: The solidus is a punctuation mark used to indicate fractions. Now, the obelus and slash can be used interchangeably as long as the slash is interpreted as division NOT mistaken for a solidus. [link to www.freeimagehosting.net] Here is a real world example of the equation at hand: [link to i45.tinypic.com] "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it." |

caper_26User ID: 32057798 Canada 01/21/2013 10:04 PM Report Abusive Post Report Copyright Violation | A pair, is 2. A pair of anything, is 2 of them. Yes, it can be evaluated as 2 * x, but the value must remain so the meaning is different. Quoting: Situation: You have apples to divide among people. You have 6 apples. A family (f) is 2 adults and 1 child, so f = 2+1 6 apples divided by a pair of families (where there are 3 in a family). f is a family of 3, so f = 36 ÷ 2f = 6 ÷ 2(3) = 1 6 ÷ 2(2+1) = 1 caper_26 "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it." |

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Anonymous Coward User ID: 31557420 United States 01/21/2013 10:13 PM Report Abusive Post Report Copyright Violation | Technically no, but it gives young students a sense of order. Adding and multiplying is associative, so it doesn't matter what order you them in. Subtracting and division are the same as adding and multiplying. It is knowing things like this, as well as other details of maths, that allow you to see that this equation is solved as 1. [link to math.berkeley.edu] Read that. It is important to note that this stipulation about \from left to right"is entirely extraneous, because the associative laws of addition and multiplication ensure that it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: Brekeley.educaper_26 if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"? Anonymous Coward 32614604 The order of operations matter. What doesn't matter is working left from right. Say you have worked out the multiplication already, now you are left with a bunch of addition and subtraction, it doesn't matter what order you do it in, the answer will be the same. Hence, working left to right is not part of any rules in mathematics. Although, yes, we do teach kids to do math from left to right. That is why so many of us thought it was a rule. But the fact is, that doesn't even matter in this problem, because it never should. Even if you work the problem left to right, you still get the answer as 1. And I used to seriously, firmly, and adamantly believe the answer was 9. |

AnubisUser ID: 25735337 Canada 01/21/2013 10:14 PM Report Abusive Post Report Copyright Violation | i went through it again and i actually now come up with 1. Quoting: Order of operations: Brackets Exponents Division Multiplication Addition Subtraction 6÷2(1+2) = = 6÷2(3) = 3(3) = 1 i respectfully retract my previous answer of 9 i was doing M before D :s Anubis 1 = Correct BUT IT's not for that reason. . DUCM900 dammit im confused Last Edited by Anubis on 01/21/2013 10:17 PM |

Anonymous Coward User ID: 31557420 United States 01/21/2013 10:16 PM Report Abusive Post Report Copyright Violation | no they don't, / is the same as divide symbol. so for mutiply and divide, you go left to right. Quoting: 6/2 * (1+2)could be written as: a * b where: a = 6/2 b = (1+2) the bizarre bit is that some people would rather write it as a/b for some reason. it is clearly multiplication, not division. Anonymous Coward 32614604 I bolded your equation above. It is = 9. 6 ÷ 2n = 3/n 6 ÷ 2 * n = 3n If you don't understand this, say so. Don't say it isn't, because your word doesn't change the laws of math. caper_26 Yea I don't understand "6 ÷ 2 * n = 3n" The only way I figure that to equal 3n is if it is this (6 ÷ 2) * n = 3n |

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Anonymous Coward User ID: 31557420 United States 01/21/2013 10:22 PM Report Abusive Post Report Copyright Violation | You are dead wrong. Quoting: 6÷2(1+2)= 3(3)= 9 It's actually there in your link. What a dumbass you are. Anonymous Coward 32762094 Get a life >>>> [link to i1249.photobucket.com] and a scientific calculator as well... . DUCM900 you and you're casio are doing it wrong. [link to www.wolframalpha.com] Anonymous Coward 32762094 The input is wrong. The (1+2) belongs in the divisor/denominator. That is where the obelus puts it. |

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Anonymous Coward User ID: 9839140 United States 01/21/2013 10:41 PM Report Abusive Post Report Copyright Violation | no they don't, / is the same as divide symbol. so for mutiply and divide, you go left to right. Quoting: 6/2 * (1+2)could be written as: a * b where: a = 6/2 b = (1+2) the bizarre bit is that some people would rather write it as a/b for some reason. it is clearly multiplication, not division. Anonymous Coward 32614604 I bolded your equation above. It is = 9. 6 ÷ 2n = 3/n 6 ÷ 2 * n = 3n If you don't understand this, say so. Don't say it isn't, because your word doesn't change the laws of math. caper_26 Ur dumb. Does not follow PEMDAS |

Anonymous Coward User ID: 31557420 United States 01/21/2013 10:42 PM Report Abusive Post Report Copyright Violation | The point of PEMDAS is the multiplication 'm' is before division 'd' not left to right you fucking dumbass piece of cunt licking butt sucking shit. FUCKING PEMDAS Quoting: P E M D A S FUCKKKKKKKKKKKKKKKKK!!!!!!!!!!! Anonymous Coward 9839140 Pretty sure multiplication and division are of equal value and it doesn't matter which you do first... but I have been wrong before so I could be wrong here. Doing multiplication first probably does serve you well though or else you could end up in a bind like with this problem if you treat obelusi and divisional slashes as a solidus like I was doing here.... |

Anonymous Coward User ID: 9839140 United States 01/21/2013 10:43 PM Report Abusive Post Report Copyright Violation | MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 MULTIPLICATION BEFORE DIVISION X=1 |

Anonymous Coward User ID: 9839140 United States 01/21/2013 10:46 PM Report Abusive Post Report Copyright Violation | It is 9. Confirmed by wolfram alpha. Or is it the Obama curve....... x(t) = ((-6/7 sin(22/15-13 t)-46/45 sin(11/10-10 t)-13/7 sin(16/11-3 t)-69/10 sin(17/12-2 t)+529/5 sin(t+11/7)+4/9 sin(4 t+38/9)+32/7 sin(5 t+10/7)+4/3 sin(6 t+13/14)+25/4 sin(7 t+16/11)+9/7 sin(8 t+10/11)+43/10 sin(9 t+17/12)+3/7 sin(11 t+22/5)+4/9 sin(12 t+20/9)+81/5) theta(59 pi-t) theta(t-55 pi)+(-251/13 sin(11/8-3 t)+4100/11 sin(t+8/5)+31/9 sin(2 t+9/4)+17/12 sin(4 t+22/5)+115/9 sin(5 t+22/13)+24/11 sin(6 t+9/2)+201/10 sin(7 t+17/10)+9/4 sin(8 t+13/5)+112/11) theta(55 pi-t) theta(t-51 pi)+(507/5 sin(t+11/7)+1/5 sin(2 t+48/11)+73/10 sin(3 t+11/7)+23/10 sin(4 t+11/7)+1359/7) theta(51 pi-t) theta(t-47 pi)+(680/7 sin(t+11/7)+8/13 sin(2 t+23/15)+51/8 sin(3 t+11/7)+1/52 sin(4 t+19/7)+11/5 sin(5 t+8/5)-497/3) theta(47 pi-t) theta(t-43 pi)+(-4/11 sin(1-7 t)-303/8 sin(11/7-t)+85/6 sin(2 t+14/9)+9/8 sin(3 t+19/14)+126/25 sin(4 t+23/15)+13/12 sin(5 t+21/16)+12/11 sin(6 t+19/14)+2/3 sin(8 t+10/7)+2/5 sin(9 t+29/19)-2219/13) theta(43 pi-t) theta(t-39 pi)+(-3/8 sin(14/9-12 t)-3/7 sin(11/7-10 t)-1/2 sin(14/9-8 t)-52/21 sin(14/9-6 t)-19/6 sin(17/11-4 t)-47/11 sin(11/7-3 t)-132/7 sin(11/7-2 t)+229/6 sin(t+11/7)+3/11 sin(5 t+13/9)+1/4 sin(7 t+37/25)+1/11 sin(9 t+13/8)+5/11 sin(11 t+11/7)+1/6 sin(13 t+23/15)+2209/11) theta(39 pi-t) theta(t-35 pi)+(-1/2 sin(14/9-4 t)+1037/8 sin(t+14/9)+2/11 sin(2 t+41/11)+89/5 sin(3 t+17/11)+71/14 sin(5 t+11/7)+115/7) theta(35 pi-t) theta(t-31 pi)+(-137/69 sin(2/5-6 t)+679/13 sin(t+8/7)+355/59 sin(2 t+60/13)+70/11 sin(3 t+16/7)+19/6 sin(4 t+5/2)+49/13 sin(5 t+20/7)+9/11 sin(7 t+173/43)+7/8 sin(8 t+19/14)-3897/10) theta(31 pi-t) theta(t-27 pi)+(-7/10 sin(3/8-8 t)-12/11 sin(2/9-6 t)-23/7 sin(3/8-2 t)+1171/8 sin(t+14/9)+71/6 sin(3 t+17/11)+13/7 sin(4 t+6/13)+25/4 sin(5 t+3/2)+34/9 sin(7 t+18/11)+27/10 sin(9 t+4/3)+71/5) theta(27 pi-t) theta(t-23 pi)+(-3/2 sin(3/4-2 t)+127/4 sin(t+10/7)-3329/21) theta(23 pi-t) theta(t-19 pi)+(344/11 sin(t+37/8)+24/11 sin(2 t+23/10)+1694/9) theta(19 pi-t) theta(t-15 pi)+(-1/9 sin(9/19-10 t)-1/7 sin(1/16-8 t)-1/13 sin(4/7-6 t)-11/13 sin(36/37-4 t)-20/9 sin(10/11-2 t)+998/9 sin(t+9/5)+77/8 sin(3 t+7/3)+20/7 sin(5 t+36/13)+4/3 sin(7 t+13/4)+11/15 sin(9 t+60/17)+1036/5) theta(15 pi-t) theta(t-11 pi)+(-6/19 sin(11/8-12 t)+760/7 sin(t+12/7)+38/11 sin(2 t+26/17)+73/8 sin(3 t+35/17)+17/12 sin(4 t+65/32)+21/8 sin(5 t+16/7)+5/9 sin(6 t+10/3)+24/25 sin(7 t+15/7)+8/17 sin(8 t+32/9)+2/7 sin(9 t+19/10)+3/10 sin(10 t+47/11)+5/16 sin(11 t+13/10)-3010/17) theta(11 pi-t) theta(t-7 pi)+(-11/14 sin(1/6-8 t)-12/5 sin(1/5-4 t)-48/7 sin(39/40-2 t)+15/14 sin(7 t)+959/20 sin(t+29/9)+112/11 sin(3 t+13/8)+25/9 sin(5 t+14/9)+5/11 sin(6 t+11/17)+6/7 sin(9 t+25/6)+5425/13) theta(7 pi-t) theta(t-3 pi)+(-8/17 sin(9/11-21 t)-24/25 sin(3/5-20 t)-3/4 sin(17/16-14 t)-15/7 sin(11/21-7 t)-5/8 sin(31/32-6 t)-63/16 sin(4/5-5 t)+2153/5 sin(t+19/12)+230/7 sin(2 t+33/10)+69/2 sin(3 t+61/13)+32/3 sin(4 t+37/12)+20/9 sin(8 t+31/8)+36/11 sin(9 t+12/11)+9/8 sin(10 t+23/5)+24/11 sin(11 t+32/7)+25/13 sin(12 t+29/9)+8/9 sin(13 t+35/17)+9/10 sin(15 t+2)+2/11 sin(16 t+7/8)+1/2 sin(17 t+26/7)+7/12 sin(18 t+29/10)+7/5 sin(19 t+1)+10/9 sin(22 t+2)+4/11 sin(23 t+2/7)+3/5 sin(24 t+5/2)+322/17) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2)))) y(t) = ((-22/9 sin(34/23-9 t)-61/9 sin(17/11-4 t)+37/11 sin(t+65/14)+41/6 sin(2 t+14/3)+8/7 sin(3 t+15/7)+18/5 sin(5 t+7/5)+91/8 sin(6 t+25/17)+16/11 sin(7 t+5/16)+79/14 sin(8 t+25/17)+3/8 sin(10 t+18/11)+2/5 sin(11 t+57/14)+1/4 sin(12 t+27/13)+5/6 sin(13 t+22/5)-2434/7) theta(59 pi-t) theta(t-55 pi)+(-30/11 sin(11/10-5 t)-143/3 sin(3/2-4 t)-108/31 sin(1/6-3 t)-1310/9 sin(17/11-2 t)+57/8 sin(t+9/7)+25/17 sin(6 t+25/13)+3/10 sin(7 t+31/21)+23/14 sin(8 t+51/11)+635/3) theta(55 pi-t) theta(t-51 pi)+(-40/9 sin(11/7-4 t)-49/2 sin(11/7-2 t)-188/17 sin(11/7-t)+26/9 sin(3 t+11/7)-1143/13) theta(51 pi-t) theta(t-47 pi)+(-25/4 sin(11/7-4 t)+93/11 sin(t+11/7)+290/11 sin(2 t+33/7)+5/6 sin(3 t+33/7)+10/11 sin(5 t+14/9)-262/3) theta(47 pi-t) theta(t-43 pi)+(-3/2 sin(14/9-7 t)+286/3 sin(t+33/7)+71/15 sin(2 t+50/11)+253/21 sin(3 t+37/8)+11/12 sin(4 t+36/13)+47/14 sin(5 t+32/7)+4/5 sin(6 t+9/5)+2/9 sin(8 t+14/11)+11/7 sin(9 t+47/10)-2032/5) theta(43 pi-t) theta(t-39 pi)+(-3/7 sin(35/23-13 t)-3/8 sin(14/9-10 t)-9/7 sin(17/11-9 t)-1/16 sin(5/11-8 t)-35/17 sin(14/9-7 t)-3/7 sin(26/17-6 t)-37/13 sin(11/7-5 t)-109/9 sin(14/9-3 t)-24/5 sin(17/11-2 t)-833/9 sin(11/7-t)+4/3 sin(4 t+14/9)+11/15 sin(11 t+33/7)+1/27 sin(12 t+7/8)-3683/9) theta(39 pi-t) theta(t-35 pi)+(3/5 sin(t+35/23)+22/9 sin(2 t+14/9)+23/12 sin(3 t+61/13)+37/6 sin(4 t+14/3)+12/13 sin(5 t+14/9)-1463/3) theta(35 pi-t) theta(t-31 pi)+(-148/11 sin(1/15-3 t)-3/7 sin(3/13-2 t)-1356/11 sin(17/18-t)+19/6 sin(4 t+33/16)+245/61 sin(5 t+9/11)+5/6 sin(6 t+63/16)+10/7 sin(7 t+13/8)+9/8 sin(8 t+25/9)-2513/12) theta(31 pi-t) theta(t-27 pi)+(-348/7 sin(1/37-t)+65/11 sin(2 t+20/13)+34/11 sin(3 t+32/11)+59/17 sin(4 t+33/8)+105/19 sin(5 t+31/10)+24/23 sin(6 t+6/11)+15/16 sin(7 t+31/30)+4/9 sin(8 t+85/21)+1/3 sin(9 t+41/11)-4459/9) theta(27 pi-t) theta(t-23 pi)+(240/11 sin(t+1/8)+23/10 sin(2 t+23/12)-997/11) theta(23 pi-t) theta(t-19 pi)+(-380/17 sin(1/11-t)+20/11 sin(2 t+20/19)-625/7) theta(19 pi-t) theta(t-15 pi)+(-67/15 sin(9/11-4 t)-66/5 sin(8/9-2 t)-360/13 sin(4/13-t)+28/5 sin(3 t+9/13)+16/5 sin(5 t+7/6)+1/2 sin(6 t+12/13)+13/9 sin(7 t+5/3)+5/8 sin(8 t+8/7)+10/9 sin(9 t+40/17)+10/19 sin(10 t+61/20)-28) theta(15 pi-t) theta(t-11 pi)+(-1/15 sin(8/11-10 t)-3/14 sin(3/8-8 t)-49/50 sin(5/11-6 t)-28/9 sin(11/9-4 t)-62/5 sin(6/5-2 t)+169/8 sin(t+12/25)+149/15 sin(3 t+60/59)+40/17 sin(5 t+10/9)+8/5 sin(7 t+13/10)+14/11 sin(9 t+18/11)+7/11 sin(11 t+7/5)+2/5 sin(12 t+16/9)-86/3) theta(11 pi-t) theta(t-7 pi)+(-9/11 sin(9/14-9 t)+995/8 sin(t+38/9)+31/11 sin(2 t+31/14)+129/10 sin(3 t+35/11)+41/42 sin(4 t+17/6)+32/11 sin(5 t+9/5)+2/9 sin(6 t+4/7)+14/11 sin(7 t+11/21)+1/35 sin(8 t+7/13)-813/4) theta(7 pi-t) theta(t-3 pi)+(-2/3 sin(9/8-23 t)-5/7 sin(1/9-20 t)-4/7 sin(17/11-12 t)-76/9 sin(11/7-4 t)-194/9 sin(1/6-3 t)+16/5 sin(7 t)+9777/16 sin(t+22/7)+234/11 sin(2 t+9/7)+7/5 sin(5 t+77/17)+59/16 sin(6 t+85/43)+4/3 sin(8 t+121/30)+7/12 sin(9 t+5/3)+5/7 sin(10 t+6/5)+19/12 sin(11 t+13/5)+16/7 sin(13 t+1/66)+5/9 sin(14 t+43/10)+8/5 sin(15 t+32/11)+40/41 sin(16 t+9/14)+51/50 sin(17 t+4/13)+sin(18 t+35/8)+2/3 sin(19 t+32/9)+6/11 sin(21 t+16/5)+18/19 sin(22 t+4/5)+6/7 sin(24 t+35/11)-2103/29) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2)))) |

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DUCM900User ID: 32755121 Italy 01/21/2013 10:53 PM Report Abusive Post Report Copyright Violation | It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.Anonymous Coward 31557420 yes BUT just because its n (n) and NOT n*(n). Last Edited by IWASTHERE on 01/21/2013 10:55 PM |

Anonymous Coward User ID: 31557420 United States 01/21/2013 10:54 PM Report Abusive Post Report Copyright Violation | It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.Anonymous Coward 31557420 yes BUT just because its n (n) and NOT n*(n). DUCM900 Yea, Caper26 said the same thing but I fail to see how it makes a difference. |

Anonymous Coward User ID: 31557420 United States 01/21/2013 10:55 PM Report Abusive Post Report Copyright Violation | It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.Anonymous Coward 31557420 yes BUT just because its n (n) and NOT n*(n). DUCM900 Yea, Caper26 said the same thing but I fail to see how it makes a difference. Anonymous Coward 31557420 6÷2(1+2)=1 6÷2*(1+2)=1 |

DUCM900User ID: 32755121 Italy 01/21/2013 10:56 PM Report Abusive Post Report Copyright Violation | n(n) simply means that the stuff is part of it and wholeyou need to solve it first.. Last Edited by IWASTHERE on 01/21/2013 10:58 PM |

Anonymous Coward User ID: 31557420 United States 01/21/2013 10:56 PM Report Abusive Post Report Copyright Violation | ...It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.Anonymous Coward 31557420 yes BUT just because its n (n) and NOT n*(n). DUCM900 Yea, Caper26 said the same thing but I fail to see how it makes a difference. Anonymous Coward 31557420 6÷2(1+2)=1 6÷2*(1+2)=1 Anonymous Coward 31557420 Throwing a multiplication symbol in there doesn't change the obelus into a solidus... |

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