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A Simple Math Problem? - Page 23

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darmousseh
Profile Blog Joined May 2010
United States3437 Posts
April 07 2011 22:37 GMT
#441
My math teacher in college warned us when using maple to always include parenthesis and multiplication operators otherwise maple might interpret the expression incorrectly [Hence the 1/2x problem]
Developer for http://mtgfiddle.com
jdseemoreglass
Profile Blog Joined July 2010
United States3773 Posts
April 07 2011 22:37 GMT
#442
I'm gonna vote 2 just to spite all the people telling me the answer is 288 and I'm dumb for not knowing that.

Also...

( ) = Parentheses, [ ] = brackets, l2american

Also, also...

Am I the only one who gets annoyed when 10 people reference a thread (ie. "the body builder thread") and then never actually link to it, so you search for 5 minutes for every variation of "bodybuilder" or even related terms hoping in vain to actually find it?
"If you want this forum to be full of half-baked philosophy discussions between pompous faggots like yourself forever, stay the course captain vanilla" - FakeSteve[TPR], 2006
micronesia
Profile Blog Joined July 2006
United States24780 Posts
April 07 2011 22:37 GMT
#443
On April 08 2011 07:36 Zeke50100 wrote:
I always learned that the P in PEMDAS means inside the parentheses, and nothing beyond that (and a quick google search confirms). I'm glad I'm learning math the right way ^_^

By the way, 1/2x has absolutely no ambiguity. It's definitely x/2; the 1/(2x) is a misconception, and 1/2x should actually never be written as a substitute for it.

It's acceptable to write 1/(2x) with 1 above BOTH the 2 AND the X below the line, but not 1/2x. It literally means "1 divided by 2 times x". The words "the quantity" are so underused in life XD

So all those college professors who write 1/2x to mean 1/(2x) are wrong?

The answer is, technically, yes. But the fact that they all do it means you can't just write it off as not worth considering.
ModeratorThere are animal crackers for people and there are people crackers for animals.
Myles
Profile Blog Joined March 2010
United States5162 Posts
April 07 2011 22:38 GMT
#444
On April 08 2011 07:34 thesideshow wrote:
Show nested quote +
On April 08 2011 07:30 Myles wrote:
On April 08 2011 07:26 Mailing wrote:
On April 08 2011 07:23 koreasilver wrote:
On April 08 2011 07:18 Mailing wrote:
I always learned even up through Uni that

48÷2(12)

It would be WRONG to treat this as 24 x 12

That you should always distribute to 48 / 24 FIRST.

If you do 48÷2(12x), it is incorrect always to go 24(12x), and you must do 48/(24x)

Is this not always the proper approach?

What they're saying is that technically this is wrong because technically 48÷2(12) is no different from 48 ÷ 2 x 12.

But in our mathematics classes it has always been that we would interpret the notation as you have, and that this was just a given. So in conventional use it would be 2, but technically it is 288.


I learned that it is mathematical law(?) that you distribute always after parenthesis

48÷2(9+3) is essentially 48 / (18 + 6), but it is far more simple to do 48÷2(12) first THEN distribute to 48÷24

The other way people have been getting 288 is just mathematically incorrect, regardless of interpretation, from what I learned.... Am I wrong or does everywhere else teach math wrong? o_0


You're distributing wrong. Because it's multiplication or division, you distribute both the 48 and the 2. It would go to (48÷2)*9+(48÷2)*3. If it were 48+2(9+3) then it would go to 48+(18+6)


That's assuming
48 * (9+3)
2

Or you can assume
48
2(9+3)

The more I think about it the more it's just really poor formatting.


I do agree the formatting leaves it a bit ambiguous, but I don't really see a reason to assume the second way when the proper thing to do is read it left to right.
Moderator
Mailing
Profile Joined March 2011
United States3087 Posts
April 07 2011 22:38 GMT
#445
On April 08 2011 07:34 thesideshow wrote:
Show nested quote +
On April 08 2011 07:30 Myles wrote:
On April 08 2011 07:26 Mailing wrote:
On April 08 2011 07:23 koreasilver wrote:
On April 08 2011 07:18 Mailing wrote:
I always learned even up through Uni that

48÷2(12)

It would be WRONG to treat this as 24 x 12

That you should always distribute to 48 / 24 FIRST.

If you do 48÷2(12x), it is incorrect always to go 24(12x), and you must do 48/(24x)

Is this not always the proper approach?

What they're saying is that technically this is wrong because technically 48÷2(12) is no different from 48 ÷ 2 x 12.

But in our mathematics classes it has always been that we would interpret the notation as you have, and that this was just a given. So in conventional use it would be 2, but technically it is 288.


I learned that it is mathematical law(?) that you distribute always after parenthesis

48÷2(9+3) is essentially 48 / (18 + 6), but it is far more simple to do 48÷2(12) first THEN distribute to 48÷24

The other way people have been getting 288 is just mathematically incorrect, regardless of interpretation, from what I learned.... Am I wrong or does everywhere else teach math wrong? o_0


You're distributing wrong. Because it's multiplication or division, you distribute both the 48 and the 2. It would go to (48÷2)*9+(48÷2)*3. If it were 48+2(9+3) then it would go to 48+(18+6)


That's assuming
48 * (9+3)
2

Or you can assume
48
2(9+3)

The more I think about it the more it's just really poor formatting.


Yeah... I have not truly seen the "÷" symbol used in years. That was for extremely low level math like 10÷2 = 5

Once I hit middle school, a problem like "48÷2(9+3)" was always written
48
2(9+3)

I dunno though, interesting thread =|
Are you hurting ESPORTS? Find out today - http://www.teamliquid.net/blogs/viewblog.php?topic_id=232866
GizmoPT
Profile Joined May 2010
Portugal3040 Posts
April 07 2011 22:38 GMT
#446
1/2x is allways 1/(2*x) my univ teacher would beat me to death if i did it other way.. lol
Snipers Promod & Micro Arena Creator in SC2 Arcade - Portuguese Community Admin for SC2, HotS and Overwatch - Ex-Portugal SC2 Team Manager, Ex- Copenhagen Wolves and Grow uP Gaming Manager in SC2. Just Playing games now!
micronesia
Profile Blog Joined July 2006
United States24780 Posts
April 07 2011 22:38 GMT
#447
On April 08 2011 07:37 jdseemoreglass wrote:
I'm gonna vote 2 just to spite all the people telling me the answer is 288 and I'm dumb for not knowing that.

Also...

( ) = Parentheses, [ ] = brackets, l2american

Also, also...

Am I the only one who gets annoyed when 10 people reference a thread (ie. "the body builder thread") and then never actually link to it, so you search for 5 minutes for every variation of "bodybuilder" or even related terms hoping in vain to actually find it?

That's not their fault... the url was removed from the OP since it did not relate to the aspects of the original thread that were going to allow it to remain open. Maybe pm someone who said they read it for the url :p
ModeratorThere are animal crackers for people and there are people crackers for animals.
Black Gun
Profile Blog Joined July 2009
Germany4482 Posts
April 07 2011 22:39 GMT
#448
i dont see the point in discussing why certain people choose interpretation A and certain others choose interpretation B in a problem that undoubtedly is stated with ambiguous notation....


voted 288, with university background. i also voted for 1/2x = 1/(2x), but once again, the notation is faulty so i have to guess what is meant. from my experience, the majority of people who write 1/2x mean that one, but in fact in most encounters with this kind of sloppy notation, i can easily deduce what they meant form the context.
"What am I supposed to do against this?" - "Lose!" :-]
Clonze
Profile Joined October 2009
Canada281 Posts
Last Edited: 2011-04-07 22:43:07
April 07 2011 22:40 GMT
#449
LOL. Why are people arguing over this?
48÷2(9+3)=
a)......48 ............... b) ..... 48
------------------ = 2 ......... --------------- (12) = 288
........2(9+3) .................... 2
b) is correct because when it says 48÷2, it cannot include the multiplication of 2 and (9+3) unless they are in brackets like this: (2(9+3)) or unless its 48 over everything like in option a).
b) is the correct answer! It makes me laugh that people are arguing that it's a).
Putting zenio on your fantasy team is almost as bad as putting him on your actual team. -Alex Smith
Ruyguy
Profile Blog Joined January 2011
Canada988 Posts
April 07 2011 22:42 GMT
#450
lets just ask day9 I heard he was good at math.
munchmunch
Profile Joined October 2010
Canada789 Posts
April 07 2011 22:42 GMT
#451
On April 08 2011 07:37 AdunToridas wrote:
A problem which made me go absolutely crazy is this:

[image loading]

Solve for x.


Oh man, the bane of my existence for a week a very long time ago. Thank goodness I now know about the Lagrange inversion formula (and the Lambert W function).
GizmoPT
Profile Joined May 2010
Portugal3040 Posts
April 07 2011 22:42 GMT
#452
On April 08 2011 07:40 Clonze wrote:
LOL. Why are people arguing over this?
48÷2(9+3)=
a) 48 b) 48
------------------ = 2 --------------- (12) = 288
2(9+3) 2
b) is correct because when it says 48÷2, it cannot include the multiplication of 2 and (9+3) unless they are in brackets like this: (2(9+3)) or unless its 48 over everything like in option a).
b) is the correct answer! It makes me laugh that people are arguing that it's a).


by that way you should say it should be (48÷2)*(9+3)
Snipers Promod & Micro Arena Creator in SC2 Arcade - Portuguese Community Admin for SC2, HotS and Overwatch - Ex-Portugal SC2 Team Manager, Ex- Copenhagen Wolves and Grow uP Gaming Manager in SC2. Just Playing games now!
StallingHard
Profile Joined February 2011
144 Posts
April 07 2011 22:43 GMT
#453
On April 08 2011 07:40 Clonze wrote:
LOL. Why are people arguing over this?
48÷2(9+3)=
a)......48 ............... b) ..... 48
------------------ = 2 --------------- (12) = 288
2(9+3) ............................. 2
b) is correct because when it says 48÷2, it cannot include the multiplication of 2 and (9+3) unless they are in brackets like this: (2(9+3)) or unless its 48 over everything like in option a).
b) is the correct answer! It makes me laugh that people are arguing that it's a).


It makes me laugh that you come in without considering other arguments, such as poor formating and general usage by those within the academic community.
Blisse
Profile Blog Joined July 2010
Canada3710 Posts
Last Edited: 2011-04-07 22:46:06
April 07 2011 22:43 GMT
#454
Commutative Law. Someone find the proof. Hurry...

Also, { are braces! My teachers always call it squiggly brackets (wtflol).
There is no one like you in the universe.
micronesia
Profile Blog Joined July 2006
United States24780 Posts
April 07 2011 22:43 GMT
#455
On April 08 2011 07:40 Clonze wrote:
LOL. Why are people arguing over this?
48÷2(9+3)=
a)......48 ............... b) ..... 48
------------------ = 2 --------------- (12) = 288
2(9+3) ............................. 2
b) is correct because when it says 48÷2, it cannot include the multiplication of 2 and (9+3) unless they are in brackets like this: (2(9+3)) or unless its 48 over everything like in option a).
b) is the correct answer! It makes me laugh that people are arguing that it's a).

It makes me laugh that you haven't read the thread enough to realize that there are legitimate reasons why people feel like the question can be considered ambiguous. Yes, we know the correct answer according to strict rules of order of operations that we learn in grade school is 288. That's not what people are discussing. Think before you post.
ModeratorThere are animal crackers for people and there are people crackers for animals.
de1irium
Profile Blog Joined August 2010
United States121 Posts
April 07 2011 22:44 GMT
#456
http://xkcd.com/169/
Clonze
Profile Joined October 2009
Canada281 Posts
April 07 2011 22:45 GMT
#457
On April 08 2011 07:43 StallingHard wrote:
Show nested quote +
On April 08 2011 07:40 Clonze wrote:
LOL. Why are people arguing over this?
48÷2(9+3)=
a)......48 ............... b) ..... 48
------------------ = 2 --------------- (12) = 288
2(9+3) ............................. 2
b) is correct because when it says 48÷2, it cannot include the multiplication of 2 and (9+3) unless they are in brackets like this: (2(9+3)) or unless its 48 over everything like in option a).
b) is the correct answer! It makes me laugh that people are arguing that it's a).


It makes me laugh that you come in without considering other arguments, such as poor formating and general usage by those within the academic community.

i'm not a forum expert, nor a math expert which is why it's funny^_^
Putting zenio on your fantasy team is almost as bad as putting him on your actual team. -Alex Smith
Zeke50100
Profile Blog Joined February 2010
United States2220 Posts
Last Edited: 2011-04-07 22:48:42
April 07 2011 22:45 GMT
#458
On April 08 2011 07:37 micronesia wrote:
Show nested quote +
On April 08 2011 07:36 Zeke50100 wrote:
I always learned that the P in PEMDAS means inside the parentheses, and nothing beyond that (and a quick google search confirms). I'm glad I'm learning math the right way ^_^

By the way, 1/2x has absolutely no ambiguity. It's definitely x/2; the 1/(2x) is a misconception, and 1/2x should actually never be written as a substitute for it.

It's acceptable to write 1/(2x) with 1 above BOTH the 2 AND the X below the line, but not 1/2x. It literally means "1 divided by 2 times x". The words "the quantity" are so underused in life XD

So all those college professors who write 1/2x to mean 1/(2x) are wrong?

The answer is, technically, yes. But the fact that they all do it means you can't just write it off as not worth considering.


Most of the ones I know actually have a larger, more enveloping line that includes both the 2 and the X underneath the length of the line when using a diagonal.

Normally, you WOULD be able to tell if they mean 1/2x or 1/(2x), because of the work involved in solving the problem as a whole. If you just look at it in an isolated situation, you should pretty much always assume it's 1/2x.

The only reason people get confused in the first place is because calculators and computers generally display everything in a single line and do not support true fraction notation often. In general, what you calculator tells you is correct, and if you think it's something different, you screwed up your parentheses

Basically, there is a right and a wrong when it comes to proper mathematical form, and any perceived ambiguity is a result of generations of laziness and/or misconceptions. Context is the first thing you should look at, though, because that will give you a definite answer to what the person really means (really, don't be sloppy when writing math on computers, and don't use the same notation for things that shouldn't share the notation when hand-writing things )
FrozenPanDA
Profile Joined August 2009
Canada17 Posts
April 07 2011 22:46 GMT
#459
TL makes no sense. 72% say 1/(2*x) and the rest say (1/2)*x
let 48 = 1
(9+3) = x
1/(2*x) which is interpreted by 72% of TL...
and most of you are saying it is 288?
If you do it the way apparently 72% of TL does it. you end up with 2.
If you do it the way 28% of TL does it, you end up with 288.

It is honestly how you interpret it. This is only an 'amazing' question because it does not give enough information, if it were (48)/(2(9+3)) it would be simple. Obviously OP left those out to see the responses, the polls, and how the internet behaves..
RoyalCheese
Profile Joined May 2010
Czech Republic745 Posts
April 07 2011 22:47 GMT
#460
On April 08 2011 07:44 de1irium wrote:
http://xkcd.com/169/

Love you. Sincierly, RoyalCheese
Kennigit: "Chill was once able to retire really young, but decided to donate his entire salary TO SUPPORT ESPORTS"
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