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6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]

 
Anonymous Coward
User ID: 31025789
Canada
01/22/2013 08:54 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]


Hopefully this will end this debate.

The other OP removed this video from his thread as the answers differed.

This is from a math professor and a very well respected one at that.

***UPDATE***

I received this e-mail from Dr. Stein about 20 minutes ago


Russell,

I just researched this in several places, AND I'M WRONG!!! I'd appreciate it if you posted this answer. Here's a nice explanation.

[link to chilimath.com]

While the acronym PEMDAS is correct, the problem comes with the confusion about how M and D are treated.

I have always thought that it meant that M (multiplication) is to precede D (division). On reading several sources, M and D are treated at the same level of hierarchy, and are to be done left to right.

In other words, 6/2 x 3 really is 9, because M and D are at the same hierarchy level, and so M no longer PRECEDES D, but should be done left to right. The division is encountered first in reading 6/2 x 3, and so is done first.

Jim


***2nd e-mail update***

Hi Russell,

One of the things that I've always believed is that one should admit to one's mistakes. I just made one, and the important thing is to get it right.

Most mathematicians are aware of the possibility of error in such a situation (I'm willing to bet I'm not the only mathematician who would make this mistake). As a result, they will usually parenthesize to avoid potential misinterpretation. For instance, I would write the problem as either

6 / (2(1+2)) if I wanted the answer to be 1

or

(6/2) (1+2) if I wanted the answer to be 9
 Quoting: Person445


I can't believe you wasted this professors time with that question...

Why don't we just email the English lit professor what their thoughts on green eggs and ham are...

And email a top geologist on advice on how to make one of those baking soda volcano models...
 Quoting: Anonymous Coward 31025789


Wow! After being completely convinced over the past 3 hours that the World's greatest idiot had been found, you come along.
 Quoting: Person445


If you think it's 1, do yourself a massive favor, DO NOT do your own taxes...get a pro, or a 16 year old that has a grasp on basic math...otherwise your dumb country ass WILL get audited.
Forgotten

User ID: 29097718
United States
01/22/2013 08:57 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
If you think it's 1, do yourself a massive favor, DO NOT do your own taxes...get a pro, or a 16 year old that has a grasp on basic math...otherwise your dumb country ass WILL get audited.
 Quoting: Anonymous Coward 31025789


Hey Caper...

If you think it's 1, do yourself a massive favor, DO NOT do your own taxes...get a pro, or a 16 year old that has a grasp on basic math...otherwise your dumb country ass WILL get audited.
 Quoting: Anonymous Coward 31025789


That is THE most retarded answer I have ever seen. If you believe that, then no bloody wonder you getting 9 as a response.

"Redundancy Law"

A coefficient of 1 does NOT need to be written. It is ALWAYS implied. a = 1a . Also the Identity Law. You CAN write though, but because of the math LAW stated, it cannot change the outcome of the answer.

Please tell me you see what is wrong with this! I thank you for posting, because I can actually use that as yet ANOTHER way to prove 1 is the answer, as a matter of fact !!

3÷1(1+2)=9 What kind of special math is this??

'1' as a coefficient can be omitted.
that means, according to you:

3÷1(1+2)= 3÷(1+2)
9 = 1

In reality though,
3÷1(1+2)= 3÷(1+2)
1 = 1


Thank you for showing everyone this "proof" and good night. Nothing more to be said here after that one.

applause2
 Quoting: caper_26


I sincerely hope this is the last time you reply.

You are right, the 1 can be omitted. But that just means you remove the ÷, (the item between the 1 and 3), but that still leaves multiplication there. If you drop the "useless" 1, then you drop the item in between. Not the one after. .... at a loss for words.


Last Edited by Forgotten on 01/22/2013 08:58 PM
Forgotten: Reach me at [email protected]
Person445  (OP)

User ID: 11438968
Canada
01/22/2013 08:59 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]


Hopefully this will end this debate.

The other OP removed this video from his thread as the answers differed.

This is from a math professor and a very well respected one at that.

***UPDATE***

I received this e-mail from Dr. Stein about 20 minutes ago


Russell,

I just researched this in several places, AND I'M WRONG!!! I'd appreciate it if you posted this answer. Here's a nice explanation.

[link to chilimath.com]

While the acronym PEMDAS is correct, the problem comes with the confusion about how M and D are treated.

I have always thought that it meant that M (multiplication) is to precede D (division). On reading several sources, M and D are treated at the same level of hierarchy, and are to be done left to right.

In other words, 6/2 x 3 really is 9, because M and D are at the same hierarchy level, and so M no longer PRECEDES D, but should be done left to right. The division is encountered first in reading 6/2 x 3, and so is done first.

Jim


***2nd e-mail update***

Hi Russell,

One of the things that I've always believed is that one should admit to one's mistakes. I just made one, and the important thing is to get it right.

Most mathematicians are aware of the possibility of error in such a situation (I'm willing to bet I'm not the only mathematician who would make this mistake). As a result, they will usually parenthesize to avoid potential misinterpretation. For instance, I would write the problem as either

6 / (2(1+2)) if I wanted the answer to be 1

or

(6/2) (1+2) if I wanted the answer to be 9
 Quoting: Person445


I can't believe you wasted this professors time with that question...

Why don't we just email the English lit professor what their thoughts on green eggs and ham are...

And email a top geologist on advice on how to make one of those baking soda volcano models...
 Quoting: Anonymous Coward 31025789


Wow! After being completely convinced over the past 3 hours that the World's greatest idiot had been found, you come along.
 Quoting: Person445


If you think it's 1, do yourself a massive favor, DO NOT do your own taxes...get a pro, or a 16 year old that has a grasp on basic math...otherwise your dumb country ass WILL get audited.
 Quoting: Anonymous Coward 31025789


Did you listen to the video? I thought the answer was 9 until the professor corrected me, albiet incorrectly.

And we're from the same Country.
Follow me on Twitter: @RussellScott202
DUCM900

User ID: 32829152
Italy
01/22/2013 09:01 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
Did you listen to the video? I thought the answer was 9 until the professor corrected me, albiet incorrectly.

And we're from the same Country.
 Quoting: Person445


NOW please tell me.

Whats for you the correct answer?

1 OR 9


.
Person445  (OP)

User ID: 11438968
Canada
01/22/2013 09:03 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
Did you listen to the video? I thought the answer was 9 until the professor corrected me, albiet incorrectly.

And we're from the same Country.
 Quoting: Person445


NOW please tell me.

Whats for you the correct answer?

1 OR 9


.
 Quoting: DUCM900


Why? So you can spend the next 10 hours calling me a moron for disagreeing with you?

Get a life.

You and Caper are banned. I'm tired of your relentless BS.

Come back in 60 days.
Follow me on Twitter: @RussellScott202
Anubis

User ID: 25735337
Canada
01/22/2013 11:08 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
the answer is 9... irrefutably.
Anonymous Coward
User ID: 18914318
Australia
01/22/2013 11:12 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
[link to www.youtube.com]

Anonymous Coward
User ID: 32635779
Hong Kong
01/23/2013 01:38 AM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
6÷2(1+2)=?
6÷2(3)=?

at this point ppl lose the plot...

see, if the equation had STARTED OUT with 3 being in brackets then it would make sense to divide 6 by 2 first

BUT

the 3 was reached after we did operation inside the brackets, SO THE BRACKETS STILL NEED TO BE DEALT WITH FIRST!

hence:

6÷2(3)=?
6÷(6)=?

i think you can figure out the rest.....
Anubis

User ID: 25735337
Canada
01/23/2013 09:28 AM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
6÷2(1+2)=?
6÷2(3)=?

at this point ppl lose the plot...

see, if the equation had STARTED OUT with 3 being in brackets then it would make sense to divide 6 by 2 first

BUT

the 3 was reached after we did operation inside the brackets, SO THE BRACKETS STILL NEED TO BE DEALT WITH FIRST!

hence:

6÷2(3)=?
6÷(6)=?

i think you can figure out the rest.....
 Quoting: Anonymous Coward 32635779


no, at that point the brackets signify multiplication not precedence
Anonymous Coward
User ID: 32635779
Hong Kong
01/23/2013 11:01 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
exactly youre just illustrating my point, that you would multiply the 3 and 2 before dividing 6 by the product of those two numbers


DUH : - P
Anonymous Coward
User ID: 3159766
United States
01/23/2013 11:11 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
OMG, that is the most simple algebra, wth is wrong with everybody?
Anonymous Coward
User ID: 31841435
United States
01/25/2013 07:01 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
I'd be very interested in how a graduate of Yale University and a tenured professor of Mathematics would answer this incorrectly.
 Quoting: Person445


this
Anonymous Coward
User ID: 35430615
United States
03/06/2013 04:30 PM
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Re: 6÷2(1+2)=? SOLVED by the Professor of Mathematics at California State University [video]
I just researched this in several places, AND I'M WRONG!!!

While the acronym PEMDAS is correct, the problem comes with the confusion about how M and D are treated.

I have always thought that it meant that M (multiplication) is to precede D (division). On reading several sources, M and D are treated at the same level of hierarchy, and are to be done left to right.
 Quoting: Dr. Stein, a very well-respected Professor of Mathematics at California State University


He had to look that up??

He had to consult several sources before he learned what most of us learned in sixth-grade arithmetic class???

That multiplication and division are on the same level in the order of operations???

He didn't know that?????





GLP