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Math: 6÷2(1+2) = ?

 
Anonymous Coward
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01/21/2013 10:43 PM
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Re: Math: 6÷2(1+2) = ?
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
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01/21/2013 10:46 PM
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Re: Math: 6÷2(1+2) = ?
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))))
Anonymous Coward
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01/21/2013 10:49 PM
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Re: Math: 6÷2(1+2) = ?
So in that case it equals........




666
DUCM900

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01/21/2013 10:49 PM
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Re: Math: 6÷2(1+2) = ?
wall of text
Anonymous Coward
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01/21/2013 10:50 PM
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Re: Math: 6÷2(1+2) = ?
MULTIPLICATION BEFORE DIVISION

 Quoting: Anonymous Coward 9839140


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
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01/21/2013 10:51 PM
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Re: Math: 6÷2(1+2) = ?
the input in wolfram alpha is wrong.

the input I saw used a solidus. However, I used a high powered calculator on an electrical engineering website and that also calculated it wrong.
DUCM900

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01/21/2013 10:53 PM
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Re: Math: 6÷2(1+2) = ?
MULTIPLICATION BEFORE DIVISION

 Quoting: Anonymous Coward 9839140


It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.
 Quoting: 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
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01/21/2013 10:54 PM
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Re: Math: 6÷2(1+2) = ?
MULTIPLICATION BEFORE DIVISION

 Quoting: Anonymous Coward 9839140


It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.
 Quoting: Anonymous Coward 31557420


yes BUT just because its n(n) and NOT n*(n)


.
 Quoting: DUCM900


Yea, Caper26 said the same thing but I fail to see how it makes a difference.
Anonymous Coward
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Re: Math: 6÷2(1+2) = ?
MULTIPLICATION BEFORE DIVISION

 Quoting: Anonymous Coward 9839140


It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.
 Quoting: Anonymous Coward 31557420


yes BUT just because its n(n) and NOT n*(n)


.
 Quoting: DUCM900


Yea, Caper26 said the same thing but I fail to see how it makes a difference.
 Quoting: Anonymous Coward 31557420


6÷2(1+2)=1
6÷2*(1+2)=1
DUCM900

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01/21/2013 10:56 PM
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Re: Math: 6÷2(1+2) = ?
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
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Re: Math: 6÷2(1+2) = ?
...


It really shouldn't matter if you do the problem correctly. But yes, here multiplication before division will net you the right answer.
 Quoting: Anonymous Coward 31557420


yes BUT just because its n(n) and NOT n*(n)


.
 Quoting: DUCM900


Yea, Caper26 said the same thing but I fail to see how it makes a difference.
 Quoting: Anonymous Coward 31557420


6÷2(1+2)=1
6÷2*(1+2)=1
 Quoting: Anonymous Coward 31557420


Throwing a multiplication symbol in there doesn't change the obelus into a solidus...
Anonymous Coward
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01/21/2013 10:57 PM
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Re: Math: 6÷2(1+2) = ?
n(n) simply means that the whole stuff is part of it and you need to solve it first.
 Quoting: DUCM900


I was actually unable to verify that the distributive property would require you to distribute before any other multiplication or division is done so I am not sure you are correct there...
DUCM900

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01/21/2013 10:59 PM
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Re: Math: 6÷2(1+2) = ?
shark
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01/21/2013 11:30 PM
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Re: Math: 6÷2(1+2) = ?
18
Mostly Normal

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01/21/2013 11:33 PM
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Re: Math: 6÷2(1+2) = ?
6/2(1+2)=x
6/2=x/(1+2)
3=x/3
9=x
Anonymous Coward
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01/21/2013 11:44 PM
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Re: Math: 6÷2(1+2) = ?
137 pages later, the answer remains 1.
Anonymous Coward
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01/21/2013 11:49 PM
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Re: Math: 6÷2(1+2) = ?
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

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01/22/2013 01:59 AM
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Re: Math: 6÷2(1+2) = ?
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.
 Quoting: Anonymous Coward 944253


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
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01/22/2013 02:12 AM
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Re: Math: 6÷2(1+2) = ?
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.
 Quoting: Anonymous Coward 944253


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
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01/22/2013 02:13 AM
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Re: Math: 6÷2(1+2) = ?
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.
 Quoting: Anonymous Coward 944253


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.
 Quoting: Anonymous Coward 31557420


"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.
Anonymous Coward
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01/22/2013 03:07 AM
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Re: Math: 6÷2(1+2) = ?
obelus and solidus are interchangeable.

Your resistance is futile.

9 is the answer.
Anonymous Coward
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01/22/2013 03:55 AM
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Re: Math: 6÷2(1+2) = ?
1.. i did it in like 3 seconds before i even clicked on the thread.. what is it supposed to be? math for retards?
 Quoting: Anonymous Coward 1157230


Anyone that answers 1 instead of 9 is a retard.
Anonymous Coward
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01/22/2013 04:07 AM
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Re: Math: 6÷2(1+2) = ?
people who answered 9 should go back to school. the final operation is not 3*3=9, it's 3/3=1. that sign with the two dots above and below the dash means division, not multiplying.
 Quoting: Anonymous Coward1368063


I hope other Romanians aren't as stupid as you.6/2= 3 3*(1+2)= 9 Moran.
Anonymous Coward
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01/22/2013 04:10 AM
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Re: Math: 6÷2(1+2) = ?
haven't done maths in over 20 years so might be a bit wrong :)

6÷2(1+2) = ?

2x(1+2)=6

6/6=1

yay
 Quoting: acid


Correct
 Quoting: Anonymous Coward 1078715


idiot, 6/2=3, not 2 3*3=9, Moran.
Anonymous Coward
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01/22/2013 04:22 AM
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Re: Math: 6÷2(1+2) = ?
6/2(1+2)=


6/2(3)=
6/2*3=9

The only way to get 1 is to write it like this

6/(2(1+3))=


^^^^^^^
This would give 1
Anonymous Coward
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01/22/2013 04:22 AM
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Re: Math: 6÷2(1+2) = ?
When it's 6 Divided By 2(1+2).

 Quoting: Syrius


This notation more clearly represents such a problem...

6÷(2(1+2))

[link to www.wolframalpha.com]
 Quoting: Anonymous Coward 1194370


Hilarious. Parenthesis inside of parenthesis?

If you want to be technical, it would like something like this: 6÷(2[1+2])
 Quoting: Syrius


Sure. That works too. No ambiguity.

Have fun.
 Quoting: Anonymous Coward 1194370


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
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01/22/2013 04:28 AM
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Re: Math: 6÷2(1+2) = ?
When it's 6 Divided By 2(1+2).

 Quoting: Syrius


This notation more clearly represents such a problem...

6÷(2(1+2))

[link to www.wolframalpha.com]
 Quoting: Anonymous Coward 1194370


Hilarious. Parenthesis inside of parenthesis?

If you want to be technical, it would look like this: 6÷(2[1+2])
 Quoting: Syrius


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.
 Quoting: Anonymous Coward 1362610


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

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01/22/2013 04:34 AM
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Re: Math: 6÷2(1+2) = ?
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.
 Quoting: Anonymous Coward 944253

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
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01/22/2013 04:35 AM
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Re: Math: 6÷2(1+2) = ?
9
MustangTerry

User ID: 13766129
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01/22/2013 05:02 AM
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Re: Math: 6÷2(1+2) = ?
...


Read 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."
 Quoting: Syrius


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.
 Quoting: Anonymous Coward 300884


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.
 Quoting: Syrius


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.
 Quoting: Anonymous Coward 300884


Typical arrogant yankee know-it-all that knows little.





GLP