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A Simple Math Problem? - Page 21

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munchmunch
Profile Joined October 2010
Canada789 Posts
Last Edited: 2011-04-07 22:27:25
April 07 2011 22:26 GMT
#401
On April 08 2011 07:25 YokaY wrote:
Show nested quote +
On April 08 2011 07:21 RoyalCheese wrote:
I made a couple of experiments in the Maple (math software we use) and there are some interesting results. Perheps there should have been a 24 option in the pool :D



Your math program just doesn't accept any part of the problem if theres no operator.


Nope, it's actually something else, see my post above. You can actually write 2(3+5) in maple,
and it will always evaluate to 2. Replace 3+5 with any expression, and 2 will still be returned.
GizmoPT
Profile Joined May 2010
Portugal3040 Posts
April 07 2011 22:26 GMT
#402
On April 08 2011 07:24 koreasilver wrote:
Show nested quote +
On April 08 2011 07:23 GizmoPT wrote:
i quit this troll thread -.- 2(1+1)/2 is how much ? ^^

lol you failed with the troll because the 2 in the front and the 2 in the back cancel out each other.


i know lololol that was the joke... :\
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!
Twistacles
Profile Blog Joined June 2010
Canada1327 Posts
April 07 2011 22:26 GMT
#403
For the x...aren't both right? I mean, depending on how it's written on paper, it can either be .5X or
1
---
2x

no?
"If you don't give a shit which gum you buy, get stride" - Tyler
RoyalCheese
Profile Joined May 2010
Czech Republic745 Posts
April 07 2011 22:26 GMT
#404
On April 08 2011 07:24 munchmunch wrote:
Show nested quote +
On April 08 2011 07:21 RoyalCheese wrote:
I made a couple of experiments in the Maple (math software we use) and there are some interesting results. Perheps there should have been a 24 option in the pool :D
http://dl.dropbox.com/u/198399/tl_math_problem.png[image loading]



Woah, what fucked up version of maple is that???

Ok, I just did some experiments, and I realized what is going on there. Maple should really be giving an error, but it is actually evaluating 48 / 2 to 24, and then treating 24 as a function. You see, 24 is the function that returns 24 on all arguments. Weird...


yeah i think so. It probably means that the original problem wasn't correctly formulated
Kennigit: "Chill was once able to retire really young, but decided to donate his entire salary TO SUPPORT ESPORTS"
Mailing
Profile Joined March 2011
United States3087 Posts
April 07 2011 22:26 GMT
#405
On April 08 2011 07:23 koreasilver wrote:
Show nested quote +
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
Are you hurting ESPORTS? Find out today - http://www.teamliquid.net/blogs/viewblog.php?topic_id=232866
Retgery
Profile Joined August 2010
Canada1229 Posts
Last Edited: 2011-04-07 22:30:32
April 07 2011 22:27 GMT
#406
I am not aware of any difference between / and the other division sign... they both mean the same thing to me. Can anyone point me to a reference that says otherwise?

When multiplying fractions the basic rule comes to something like this;
a/b * c/d = ac/bd
Some people see this question as 48/2 (a fraction) multiplied by (9+3)/1 which in turn = 48(9+3)/2, which equals 288
Others see it as 48 ÷ 2(9+3) (not a fraction) and use BEDMAS or PEDMAS to solve the question which = 2
I saw the second scenario before the first because my calculator has both the "/" and the "÷" symbols. (Should I post a picture of my calculator with both answers?)
Fall down 7 times, stand up 8.
Raiznhell
Profile Joined January 2010
Canada786 Posts
April 07 2011 22:27 GMT
#407
Well now that I got what it means I think the way a lot of people are trying to explain that it's 288 is way overcomplicated I mean it's simple BEDMAS you just have to remember that you solve the equation from Left to Right when dealing with say Multiplying and Dividing and say Adding and Subtracting.

48/2(9+3) obviously you do Brackets first so:

48/2(12) which is basically 48÷2x12.

Now Solving the Equation from LEFT to RIGHT it goes 48÷2 first which is 24 so:

24x12 which equals 288.

Yeah I feel kinda noobish for mistaking it for 2 off just looking at it but I think it's a very easy mistake for anyone to make especially if you haven't been around math in awhile.
Cake or Death?
micronesia
Profile Blog Joined July 2006
United States24780 Posts
April 07 2011 22:28 GMT
#408
On April 08 2011 07:26 Twistacles wrote:
For the x...aren't both right? I mean, depending on how it's written on paper, it can either be .5X or
1
---
2x

no?

Technically 1/2x means 1 divided by 2, and then everything times x. In practice, people usually mean 1/(2x). Both are not technically correct. Either one could be intended if you see it written that way, but usually the latter. Thus, it is effectively ambiguous even though it is technically correct.
ModeratorThere are animal crackers for people and there are people crackers for animals.
darmousseh
Profile Blog Joined May 2010
United States3437 Posts
April 07 2011 22:28 GMT
#409
On April 08 2011 07:24 munchmunch wrote:
Show nested quote +
On April 08 2011 07:21 RoyalCheese wrote:
I made a couple of experiments in the Maple (math software we use) and there are some interesting results. Perheps there should have been a 24 option in the pool :D
http://dl.dropbox.com/u/198399/tl_math_problem.png[image loading]



Woah, what fucked up version of maple is that???

Ok, I just did some experiments, and I realized what is going on there. Maple should really be giving an error, but it is actually evaluating 48 / 2 to 24, and then treating 24 as a function. You see, 24 is the function that returns 24 on all arguments. Weird...



Maple assumes that if you don't write the operator, then you want to multiply those parameters.

In maple
24/12*(9+3) means (24/12)*(9+3)
24/12(9+3) means (24)/(12*(9+3))

it's this way because humans mistakingly write 1/(2x) as 1/2x. Maple assumes that all humans make this mistake and thus interprets it this way.
Developer for http://mtgfiddle.com
mprs
Profile Joined April 2010
Canada2933 Posts
April 07 2011 22:28 GMT
#410
On April 08 2011 07:21 RoyalCheese wrote:
I made a couple of experiments in the Maple (math software we use) and there are some interesting results. Perheps there should have been a 24 option in the pool :D


+ Show Spoiler +
http://dl.dropbox.com/u/198399/tl_math_problem.png


Darn you, I was just about to point this out

<3 Maple

As a math minor, I am somewhat in a position to comment. Once you get past high school maths (and to a sense, first year university), calculations become less and less frequent. Furthermore, most of the people at my University adopted the semantics (maybe the wrong word) of the first few professors we had. As such, as long as it is clear and unambiguous, then it should be fine. Like the OP says, does 1/2x become (1/2)*x or 1/(2*x). In this case, I would certainly say 1/(2x) because thats what the conventions (omg this is the word i was looking for!) that I've used for like 6 years. If this was 1/2*12, I would refer back to my grade school math classes and say the other way.

Either way, it really is a matter of convention. Furthermore, the way the question is posed in the OP is incorrect and very ambiguous. A great illustration as to why brackets are our friends!
We talkin about PRACTICE
Deja Thoris
Profile Blog Joined November 2010
South Africa646 Posts
April 07 2011 22:28 GMT
#411
Semantics for maths. Back when I was young we would have hung the OP for being a witch! In all seriousness I interpreted the notation differently too and got 2.
Pufftrees
Profile Joined March 2009
2449 Posts
April 07 2011 22:28 GMT
#412
I love watching people fumble over math, does that make me a bad person?


Lol how are there 21 pages "debating" and explaining? It's MATH, that was done a lonngggg time ago for us.
Chance favors the prepared mind.
GizmoPT
Profile Joined May 2010
Portugal3040 Posts
April 07 2011 22:28 GMT
#413
On April 08 2011 07:27 Retgery wrote:
Show nested quote +
I am not aware of any difference between / and the other division sign... they both mean the same thing to me. Can anyone point me to a reference that says otherwise?

When multiplying fractions the basic rule comes to something like this;
a/b * c/d = ac/bd
Some people see this question as 48/2 (a fraction) multiplied by (9+3) which in turn = 48(9+3)/2, which equals 288
Others see it as 48 ÷ 2(9+3) (not a fraction) and use BEDMAS or PEDMAS to solve the question which = 2
I saw the second scenario before the first because my calculator has both the "/" and the "÷" symbols. (Should I post a picture of my calculator with both answers?)


i love u
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!
koreasilver
Profile Blog Joined June 2008
9109 Posts
April 07 2011 22:28 GMT
#414
On April 08 2011 07:26 GizmoPT wrote:
Show nested quote +
On April 08 2011 07:24 koreasilver wrote:
On April 08 2011 07:23 GizmoPT wrote:
i quit this troll thread -.- 2(1+1)/2 is how much ? ^^

lol you failed with the troll because the 2 in the front and the 2 in the back cancel out each other.


i know lololol that was the joke... :\

I realized and edited in my realization too late.



I'll just excuse myself.
snow2.0
Profile Joined September 2010
Germany2073 Posts
Last Edited: 2011-04-07 22:29:49
April 07 2011 22:29 GMT
#415
actually its the vector ( 24, 12 ) written without paranthesis or comma.

srsly, math without formatting isn't math. do it proper or dont do it.
Anyone answering the question in a serious setting is taking a gamble with the questioneer being lazy while typing this out.
FiWiFaKi
Profile Blog Joined February 2009
Canada9859 Posts
April 07 2011 22:29 GMT
#416
On April 08 2011 07:26 Mailing wrote:
Show nested quote +
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


Brackets
Exponents
Division
Multiply
Add
Substract

You wont get it wrong if you do it like that....
In life, the journey is more satisfying than the destination. || .::Entrepreneurship::. Living a few years of your life like most people won't, so that you can spend the rest of your life like most people can't || Mechanical Engineering & Economics Major
micronesia
Profile Blog Joined July 2006
United States24780 Posts
April 07 2011 22:30 GMT
#417
On April 08 2011 07:28 Pufftrees wrote:
I love watching people fumble over math, does that make me a bad person?


Lol how are there 21 pages "debating" and explaining? It's MATH, that was done a lonngggg time ago for us.

Maybe because most of it is not spent discussing which answer is correct? Well a lot of it is, and that's mostly because people don't read the darn thread, but a lot of it is spent discussing other things that you seem to have missed.
ModeratorThere are animal crackers for people and there are people crackers for animals.
Torte de Lini
Profile Blog Joined September 2010
Germany38463 Posts
April 07 2011 22:30 GMT
#418
(48÷2)(9+3))

Here you go, this should help solve issues. Do what's on the inside first (9+3) then (48/2) then multiply.
https://twitter.com/#!/TorteDeLini (@TorteDeLini)
emythrel
Profile Blog Joined August 2010
United Kingdom2599 Posts
April 07 2011 22:30 GMT
#419
Man, thats weird..... the / sign and the proper divide sign make me calculate differently naturally. Can't believe i got caught out by that lol..... that physics degree didn't help me today!
When there is nothing left to lose but your dignity, it is already gone.
Myles
Profile Blog Joined March 2010
United States5162 Posts
April 07 2011 22:30 GMT
#420
On April 08 2011 07:26 Mailing wrote:
Show nested quote +
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)
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