Math: 6÷2(1+2) = ? | |
Anonymous Coward User ID: 9839140 United States 01/21/2013 10:43 PM Report Abusive Post Report Copyright Violation | 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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DUCM900 User 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. 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. yes BUT just because its n(n) and NOT n*(n) . 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. yes BUT just because its n(n) and NOT n*(n) . Yea, Caper26 said the same thing but I fail to see how it makes a difference. 6÷2(1+2)=1 6÷2*(1+2)=1 |
DUCM900 User ID: 32755121 Italy 01/21/2013 10:56 PM Report Abusive Post Report Copyright Violation | n(n) simply means that the whole stuff is part of it and you 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 | ... Quoting: Anonymous Coward 31557420 It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer. yes BUT just because its n(n) and NOT n*(n) . Yea, Caper26 said the same thing but I fail to see how it makes a difference. 6÷2(1+2)=1 6÷2*(1+2)=1 Throwing a multiplication symbol in there doesn't change the obelus into a solidus... |
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Anonymous Coward User ID: 944253 United States 01/21/2013 11:49 PM Report Abusive Post Report Copyright Violation | I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today. The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it. 6÷2(3) (6) ÷(2)(3) 6÷2*3, or even converting the division to multiplication by a reciprocal (a legal math move) (6)(1 (over) 2)(3) are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or 3*3= 9 Just because something is implied rather than written does not give it any special rank in the order of operations. The problem in it's simplest form, with nothing implied would look like this: (1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1)) From here, nothing is implied, This again, works out to 9. If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar. HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem. Once and for all, the answer is 9. Hopefully some of my students see this so I can stop answering this question. End of debate... hopefully. |
Citizenperth User ID: 32253509 Australia 01/22/2013 01:59 AM Report Abusive Post Report Copyright Violation | I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today. Quoting: Anonymous Coward 944253 The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it. 6÷2(3) (6) ÷(2)(3) 6÷2*3, or even converting the division to multiplication by a reciprocal (a legal math move) (6)(1 (over) 2)(3) are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or 3*3= 9 Just because something is implied rather than written does not give it any special rank in the order of operations. The problem in it's simplest form, with nothing implied would look like this: (1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1)) From here, nothing is implied, This again, works out to 9. If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar. HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem. Once and for all, the answer is 9. Hopefully some of my students see this so I can stop answering this question. End of debate... hopefully. simply.. there is no divided-by key on the keyboard so it is substituted for the divide symbol... not a replacement mathematically... YAY 9! It's life as we know it, but only just. [link to citizenperth.wordpress.com] sic ut vos es vos should exsisto , denego alius vicis facio vos change , exsisto youself , proprie |
Anonymous Coward User ID: 31557420 United States 01/22/2013 02:12 AM Report Abusive Post Report Copyright Violation | I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today. Quoting: Anonymous Coward 944253 The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it. 6÷2(3) (6) ÷(2)(3) 6÷2*3, or even converting the division to multiplication by a reciprocal (a legal math move) (6)(1 (over) 2)(3) are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or 3*3= 9 Just because something is implied rather than written does not give it any special rank in the order of operations. The problem in it's simplest form, with nothing implied would look like this: (1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1)) From here, nothing is implied, This again, works out to 9. If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar. HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem. Once and for all, the answer is 9. Hopefully some of my students see this so I can stop answering this question. End of debate... hopefully. You posted this crap a long time ago and you made me even more adamant about my beliefs. What is your name? Where do you teach? Clearly, you are full of it. 1) you don't know that symbol is called an obelus. 2) that does NOT mean "divide by next number". It is a grouping symbol. The answer is 1. Even if the slash was used, this debate would still NOT be ambiguous. Only if a solidus was used, would the answer equal 9. |
Anonymous Coward User ID: 31557420 United States 01/22/2013 02:13 AM Report Abusive Post Report Copyright Violation | I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today. Quoting: Anonymous Coward 944253 The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it. 6÷2(3) (6) ÷(2)(3) 6÷2*3, or even converting the division to multiplication by a reciprocal (a legal math move) (6)(1 (over) 2)(3) are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or 3*3= 9 Just because something is implied rather than written does not give it any special rank in the order of operations. The problem in it's simplest form, with nothing implied would look like this: (1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1)) From here, nothing is implied, This again, works out to 9. If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar. HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem. Once and for all, the answer is 9. Hopefully some of my students see this so I can stop answering this question. End of debate... hopefully. You posted this crap a long time ago and you made me even more adamant about my beliefs. What is your name? Where do you teach? Clearly, you are full of it. 1) you don't know that symbol is called an obelus. 2) that does NOT mean "divide by next number". It is a grouping symbol. The answer is 1. Even if the slash was used, this debate would still NOT be ambiguous. Only if a solidus was used, would the answer equal 9. "You posted this crap a long time ago and you made me even more adamant about my beliefs." Which were completely wrong at the time. Luckily Caper26 put up with me and helped me learn some things about mathematics. The answer is 1. |
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Anonymous Coward User ID: 13766129 Canada 01/22/2013 04:22 AM Report Abusive Post Report Copyright Violation | When it's 6 Divided By 2(1+2). Quoting: SyriusThis notation more clearly represents such a problem... 6÷(2(1+2)) [link to www.wolframalpha.com] Hilarious. Parenthesis inside of parenthesis? If you want to be technical, it would like something like this: 6÷(2[1+2]) Sure. That works too. No ambiguity. Have fun. You dumb yankees are adding brackets to justify incorrect answers and order of operations. Brackets first, then left to right any division or multiplication. 9 is correct, 1 is for dummies or republicans, but that is also equivalent. If you use a dictionary you may understand what I said, but all others will instantly. |
Anonymous Coward User ID: 13766129 Canada 01/22/2013 04:28 AM Report Abusive Post Report Copyright Violation | When it's 6 Divided By 2(1+2). Quoting: SyriusThis notation more clearly represents such a problem... 6÷(2(1+2)) [link to www.wolframalpha.com] Hilarious. Parenthesis inside of parenthesis? If you want to be technical, it would look like this: 6÷(2[1+2]) You cannot mess with the order of operations! There is only one outcome: 1. If you have compelling proof that it is something else without breaking the rules of order of operation just show it. Don't embarrass your country, brackets first, then exponents,division,mulitiplication,addition,subtraction, or bedmas.You added brackets mistakenly, if they were there in the original equation, they would apply, but they weren't, so don't change the equation to justify your chosen answer. |
MustangTerry User ID: 13766129 Canada 01/22/2013 04:34 AM Report Abusive Post Report Copyright Violation | I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today. Quoting: Anonymous Coward 944253 The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it. 6÷2(3) (6) ÷(2)(3) 6÷2*3, or even converting the division to multiplication by a reciprocal (a legal math move) (6)(1 (over) 2)(3) are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or 3*3= 9 Just because something is implied rather than written does not give it any special rank in the order of operations. The problem in it's simplest form, with nothing implied would look like this: (1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1)) From here, nothing is implied, This again, works out to 9. If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar. HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem. Once and for all, the answer is 9. Hopefully some of my students see this so I can stop answering this question. End of debate... hopefully. Thanks for explaining to the morans the correct procedure, I was shocked by so many wrong answers.Very many from the USA, but not all....Most Canadians are correct, of course, eh? |
Anonymous Coward User ID: 13652486 United States 01/22/2013 04:35 AM Report Abusive Post Report Copyright Violation | |
MustangTerry User ID: 13766129 Canada 01/22/2013 05:02 AM Report Abusive Post Report Copyright Violation | ... Quoting: SyriusRead all my previous statements. I did not use /, did I? However, like I stated 3 times before this the brackets are juxtaposed next to the 2 to signify it being part of the denominator. Like your link stated, "to clarify." 1. It does not matter what symbol you choose to represent division, the precedence rules always stay the same. The '/' is just a more common choice, perhaps because its more easily typed on a computer. 2. Are you an idiot? Parentheses raise the precedence order for operations found INSIDE the parentheses, not OUTSIDE them! If you truly cannot read and understand the wikipedia quote I gave you properly, then there's just no point discussing with you further. You don't have the necessary brainpower. If you can't bring your Ego to listen to your intellectual superiors here on GLP, bring this question to any professional involved with math, or feed it into calculating programs such as Matlab, Excel, or Mathematica. Perhaps it will sink in then. Intellectual superiors don't resort to name calling. That describes people who have ran out of ideas to argue and need justification in its lowest form. You can twist my words; but, at the end of the day the equation I presented and the material that was provided proves beyond a doubt that it can be interpreted in the way I postulated. Run back to your technology and assume the position, sir. Your ego is done. Intellectual superiors do resort to name calling when fools don't have the good sense of shutting up about things beyond their understanding. Smart people are just human too you know... At the end of the day, you've been kindly corrected over and over in this thread by a lot of knowledgeable people, but you refuse to listen to any of them, because you believe you know best. That's a case of Ego gone horribly wrong. But I will leave this thread now and leave you to your delusions. Typical arrogant yankee know-it-all that knows little. |