|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Can you tell? 
|
|
|
|
Joined: Jul 2007
Posts: 3,960
Hall of Famer
|
Hall of Famer
Joined: Jul 2007
Posts: 3,960 |
I thought 288 was the only possible answer
President - Fort Collins Browns Backers
|
|
|
|
Joined: Sep 2006
Posts: 2,877
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 2,877 |
"People who drink light 'beer' don't like the taste of beer; they just like to pee a lot."
|
|
|
|
Joined: Sep 2006
Posts: 658
All Pro
|
OP
All Pro
Joined: Sep 2006
Posts: 658 |
Quote:
And I should care, why?
Because you took the time to reply.
Thomas - The Tank Engine
|
|
|
|
Joined: Feb 2007
Posts: 13,358
Legend
|
Legend
Joined: Feb 2007
Posts: 13,358 |
Of all the awful threads in the tailgate lot, this is the one that warranted that comment?
|
|
|
|
Joined: Jul 2007
Posts: 3,960
Hall of Famer
|
Hall of Famer
Joined: Jul 2007
Posts: 3,960 |
Quote:
Of all the awful threads in the tailgate lot, this is the one that warranted that comment?
I literally, "lol"ed
President - Fort Collins Browns Backers
|
|
|
|
Joined: Nov 2006
Posts: 5,521
Hall of Famer
|
Hall of Famer
Joined: Nov 2006
Posts: 5,521 |
Quote:
Can you tell?
Yep! 
I guess what I'm trying to say is this: if you're looking to solve an elementary school arithmetic problem, then yes, use the so-called "left to right rule" (which really isn't a mathematical rule at all, but a predetermined assumption). But if you're solving it with any regard to some sort of practical application, then the situation is going to dictate how you solve the problem. It may be to solve from left to right, as with Excl in terms of programming, or it may be something else, but without knowing those terms, all you can do is make an assumption and go from there. That's all.
|
|
|
|
Joined: Jan 2007
Posts: 1,577
Dawg Talker
|
Dawg Talker
Joined: Jan 2007
Posts: 1,577 |
"If it weren't for my horse, I wouldn't have spent that year in college" GO ROCKETS
|
|
|
|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Quote:
Quote:
Can you tell?
Yep! 
I guess what I'm trying to say is this: if you're looking to solve an elementary school arithmetic problem, then yes, use the so-called "left to right rule" (which really isn't a mathematical rule at all, but a predetermined assumption).
From everything I've heard ... it's a mathematical rule (since, as you said ... everyone from elementary schools to computers use it), but it's the equivilent of a tie-breaker. Do mathematicians always see 2 - 1 + 1 as ambiguous and throw their hands up in the air?
|
|
|
|
Joined: Nov 2006
Posts: 5,521
Hall of Famer
|
Hall of Famer
Joined: Nov 2006
Posts: 5,521 |
Not to get philosophical really, but its not a rule in the sense that math is a naturally existing thing and the nature of math must obey the rule, as opposed to something like language which was created by people where certain things, like subject-verb agreement, are rules that must technically be followed. But I know what you're saying. I'd feel more comfortable calling it a guideline or, like you said, a tiebreaker.
I'm trying to approach it from a practical perspective. If you posed 2 - 1 + 1 as a word problem, like saying "I have two apples, you take away one and he gives me one, how many do I have?" or the alternative, then there'd be no question. If someone simply said "what is two minus one plus one?" I'd have to ask them to clarify what they meant.
I haven't solved a basic arithmetic problem in a vacuum in probably 20 years. I'm just not wired to look at them that way at this point I guess.
|
|
|
|
Joined: Sep 2006
Posts: 1,964
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 1,964 |
I had thought that the use of the shorthand multplication format, 2(9+3), as opposed to 2*(9+3), showed a preference in operation order similar to using parentheses.
My answer would be 2.
|
|
|
|
Joined: Nov 2006
Posts: 5,521
Hall of Famer
|
Hall of Famer
Joined: Nov 2006
Posts: 5,521 |
Quote:
I had thought that the use of the shorthand multplication format, 2(9+3), as opposed to 2*(9+3), showed a preference in operation order similar to using parentheses.
My answer would be 2.
I've thought about that as well, though I didn't bother to look deeply into it.
Oh, and to answer somebody's earlier question, when I put it into my TI-89 (don't have an 85, sorry), the answer it gave me was 288, as I explained it would be.
|
|
|
|
Joined: Sep 2006
Posts: 39,678
Legend
|
Legend
Joined: Sep 2006
Posts: 39,678 |
Quote:
Quote:
4
It is safe to assume you were not a math major.
OK...I admit...that's what I came up with as well.
I avoided Math as much as possible.
I'll admit it....I just am not plugged in that way.
If everybody had like minds, we would never learn. GM Strong
|
|
|
|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Quote:
I had thought that the use of the shorthand multplication format, 2(9+3), as opposed to 2*(9+3), showed a preference in operation order similar to using parentheses.
My answer would be 2.
I think you are thinking of variables in algebra ... where 48 / 2x would give the preference in operation to the 2x, as adding the varaible sort of implies parens, ie: 48 / (2x) ... when you assign a value to x, it becomes 2(12) in short-hand, but by then the order has already been established.
|
|
|
|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Quote:
Not to get philosophical really, but its not a rule in the sense that math is a naturally existing thing and the nature of math must obey the rule, as opposed to something like language which was created by people where certain things, like subject-verb agreement, are rules that must technically be followed.
It's a philosophical debate though! 
I think the problem is that by writing it out in text language that can fit on a message board, it no longer is strictly a math problem, and becomes a language parsing issue where rules like "left-to-right" start to apply.
|
|
|
|
Joined: Nov 2006
Posts: 5,521
Hall of Famer
|
Hall of Famer
Joined: Nov 2006
Posts: 5,521 |
Ha, but I hate philosophy!
|
|
|
|
Joined: Oct 2006
Posts: 9,149
Legend
|
Legend
Joined: Oct 2006
Posts: 9,149 |
The only correct answer is two.
The division sign is the key. The "2" next to the parentheses indicates that the parenthetical result is to be multiplied by 2, hence 24,...then 48 is divided by that result.
Any real math professor would do it that way.
You don't just go "left-to-right" as some have indicated. You break the equation down by what is indicated first.
If the drafter wanted the answer to be 288 it would have to have looked like this (48/2)(9+3). THAT is 288.
|
|
|
|
Joined: Sep 2006
Posts: 2,877
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 2,877 |
Quote:
Of all the awful threads in the tailgate lot, this is the one that warranted that comment?
Yep.
Because it is the biggest waste of time on this entire message board. Without a doubt.
Seriously, who gives a rat's ass about this math problem? Not even the guy who posed it - he's only posted 2 or 3 times in this entire thread and once was to tell me I cared because I replied.
I don't.
"People who drink light 'beer' don't like the taste of beer; they just like to pee a lot."
|
|
|
|
Joined: Jan 2009
Posts: 42,413
Legend
|
Legend
Joined: Jan 2009
Posts: 42,413 |
This link (http://knowyourmeme.com/memes/48293) has a pretty good explanation of why there is confusion.
|
|
|
|
Joined: Nov 2006
Posts: 4,126
Hall of Famer
|
Hall of Famer
Joined: Nov 2006
Posts: 4,126 |
Quote:
The only correct answer is two.
The division sign is the key. The "2" next to the parentheses indicates that the parenthetical result is to be multiplied by 2, hence 24,...then 48 is divided by that result.
Any real math professor would do it that way.
You don't just go "left-to-right" as some have indicated. You break the equation down by what is indicated first.
If the drafter wanted the answer to be 288 it would have to have looked like this (48/2)(9+3). THAT is 288.
Once you do inside the parenthesis you have 48 / 2 * 12. When all you have left is multiplication and division, you work left to right. 24 * 12 = 288.
Multiplciation and division are the same rank in the order of operations. When you have operations of the same rank, you work left to right.
It's supposed to be hard! If it wasn't hard, everyone would do it. The hard... is what makes it great!
|
|
|
|
Joined: Jan 2007
Posts: 2,936
Hall of Famer
|
Hall of Famer
Joined: Jan 2007
Posts: 2,936 |
Quote:
Yep.
Because it is the biggest waste of time on this entire message board. Without a doubt.
Seriously, who gives a rat's ass about this math problem? Not even the guy who posed it - he's only posted 2 or 3 times in this entire thread and once was to tell me I cared because I replied.
I don't.
... and yet, you're still here yappin' about it. 
[color:"white"]"Never argue with a fool, onlookers may not be able to tell the difference."
-- Mark Twain [/color]
|
|
|
|
Joined: Feb 2007
Posts: 402
1st String
|
1st String
Joined: Feb 2007
Posts: 402 |
Quote:
Quote:
The only correct answer is two.
The division sign is the key. The "2" next to the parentheses indicates that the parenthetical result is to be multiplied by 2, hence 24,...then 48 is divided by that result.
Any real math professor would do it that way.
You don't just go "left-to-right" as some have indicated. You break the equation down by what is indicated first.
If the drafter wanted the answer to be 288 it would have to have looked like this (48/2)(9+3). THAT is 288.
Once you do inside the parenthesis you have 48 / 2 * 12. When all you have left is multiplication and division, you work left to right. 24 * 12 = 288.
Multiplciation and division are the same rank in the order of operations. When you have operations of the same rank, you work left to right.
As a Math teacher I would mark 2 wrong and 288 correct. The * between 2 and the ( is implied and after you add 9 + 3 the problem becomes 48÷2(12) or 48÷2*12. You then work your way left to right and get 24*12, then 288.
|
|
|
|
Joined: Sep 2006
Posts: 50,507
Legend
|
Legend
Joined: Sep 2006
Posts: 50,507 |
This is what drives me absolutely crazy about math ......
When I was in college, I had to take some math classes.
I took a test ..... and I was certain that I knew certain formulas and such ..... but I missed a problem that I was sure I had gotten right. The teacher went over the exam with us, and asked if there were any questions. I asked about the problem in question, and we went through my approach step by step.
I got a completely different answer than the right answer ...... yet she determined that my answer was correct as well.
A mathematical problem should have 1 answer given the same components. Otherwise it would be like saying that something is all white .... and all black .... yet somehow both are true.
Micah 6:8; He has shown you, O mortal, what is good. And what does the Lord require of you? To act justly and to love mercy, and to walk humbly with your God.
John 14:19 Jesus said: Because I live, you also will live.
|
|
|
|
Joined: Jul 2007
Posts: 3,960
Hall of Famer
|
Hall of Famer
Joined: Jul 2007
Posts: 3,960 |
So is there a definitive answer to this question?
President - Fort Collins Browns Backers
|
|
|
|
Joined: Sep 2006
Posts: 194
2nd String
|
2nd String
Joined: Sep 2006
Posts: 194 |
After more than my share of calculus, differential equations, physics, and chemistry classes. I would have to agree with all who said 2. I hope school taught me something. Please excuse my dear Aunt Sally!
|
|
|
|
Joined: Sep 2006
Posts: 194
2nd String
|
2nd String
Joined: Sep 2006
Posts: 194 |
But, my calculator DOES say 288 so what do I know.
|
|
|
|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Quote:
So is there a definitive answer to this question?
Yes, like I said before, it depends on you compiler. 
The link cfrs gave explains it well: http://knowyourmeme.com/memes/48293
The most generally accepted answer is 288, using standard order of operations.
Depending on what you were taught though, you might come up with 2 if you though PEMDAS meant Multiplying became before Division ... which is the wrong train of thought. Mult and Division are of the same priority, so you go in order of left-to-right to "break the tie" ... multiplication doesn't always come before division.
If you have heavy background in Algebra, then you might think a number infront of parens means *implied* multiplication ... where 2(12) is the same as 2x, and would therefore hold higher priority than standard mult and div. But according to that site, the general consensus is that 2(12) is 2 * 12 and not 2x (x = 12)
So like I said, it depends on your compiler. 
|
|
|
|
Joined: Sep 2006
Posts: 9,826
Hall of Famer
|
Hall of Famer
Joined: Sep 2006
Posts: 9,826 |
We clearly all agree that the parenthesis are done 1st. which results in 12.
In my humble opinion, because no multiplication sign was placed between the 2 and the (9+3) it is not implied. Inmath you do not imply anything. It is either there or it isn't and in this case it isn't. Therefore the 2 multiplies the 12 as in 2x where x = (9+3) which = 24. Then you have 48 divided by 24 which = 2.
If it was written as 48 division sign (sorry don't know where that symbol is on my keyboard) 2 * (9+3) then the answer would be 288.
Just remember that everything you read on the internet is not necessarily true. anyone have one of those smart calculators where you can plug in the equation and get an answer? I would trust Texas Instruments long before I trusted google.
Am I perfect? No Am I trying to be a better person? Also no
|
|
|
|
Joined: Sep 2006
Posts: 1,210
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 1,210 |
Quote:
Just remember that everything you read on the internet is not necessarily true. anyone have one of those smart calculators where you can plug in the equation and get an answer? I would trust Texas Instruments long before I trusted google.
Found that at the link Excl posted.
This actually is ambiguous, and it depends on whether you view this as 48/[2(9*3)] or 48/2*(9*3).
My interpretation is the former because of the parenthesis and the implied multiplication. 2(9*3) becomes the divisor and 48 is the dividend. That makes the answer 2.
LIbertatem Defendimus!!
2010 Dawgtalkers NCAA Bracket Challenge Champ!!
|
|
|
|
Joined: Sep 2006
Posts: 50,507
Legend
|
Legend
Joined: Sep 2006
Posts: 50,507 |
But ... wouldn't you have to imply a bracket that isn't there for that to be the case? I hate math. 
Micah 6:8; He has shown you, O mortal, what is good. And what does the Lord require of you? To act justly and to love mercy, and to walk humbly with your God.
John 14:19 Jesus said: Because I live, you also will live.
|
|
|
|
Joined: Sep 2006
Posts: 1,210
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 1,210 |
Lol, not really.
The ÷ literally means the exact same thing as the vinculum (fraction bar). And since the 2 is implicitly multiplied to the (9*3), it becomes the denominator to the numerator of 48.
LIbertatem Defendimus!!
2010 Dawgtalkers NCAA Bracket Challenge Champ!!
|
|
|
|
Joined: Sep 2006
Posts: 14,248
Legend
|
Legend
Joined: Sep 2006
Posts: 14,248 |
Quote:
Inmath you do not imply anything ... Therefore the 2 multiplies the 12 as in 2x where x = (9+3) which = 24.
... which is implied multiplication. 
|
|
|
|
Joined: Apr 2007
Posts: 6,445
Hall of Famer
|
Hall of Famer
Joined: Apr 2007
Posts: 6,445 |
I'm surprised that his showed up on dawgtalkers quite honestly.
I always got 288, and while I understand the 2/amiguous arguments, I think all of them are inherently flawed for various reasons.
The TI calculators (the very old TI-85 seemingly being the exception), google, bing, wolfram alpha, and apparently all the common programming languages also give 288.
The TI-85 as I understand was programmed a little differently in that it gave multiplication via juxtaposition of a number against a parentheses precedence over explicit (i.e. using * or /) multplication and division, even though the order of operations doesn't make any such discrepancy.
That's the gist of it anyway.
|
|
|
|
Joined: Apr 2007
Posts: 6,445
Hall of Famer
|
Hall of Famer
Joined: Apr 2007
Posts: 6,445 |
Quote:
Lol, not really.
The ÷ literally means the exact same thing as the vinculum (fraction bar). And since the 2 is implicitly multiplied to the (9*3), it becomes the denominator to the numerator of 48.
False.. the ÷ (obelus) is the same thing as the far more commonly used /, indicating division, and is definitely not the same thing as a vinculum/horizontal fraction bar.
|
|
|
|
Joined: Sep 2006
Posts: 658
All Pro
|
OP
All Pro
Joined: Sep 2006
Posts: 658 |
Quote:
Quote:
Of all the awful threads in the tailgate lot, this is the one that warranted that comment?
Yep.
Because it is the biggest waste of time on this entire message board. Without a doubt.
Seriously, who gives a rat's ass about this math problem? Not even the guy who posed it - he's only posted 2 or 3 times in this entire thread and once was to tell me I cared because I replied.
I don't.
Bad threads die on their own, by starvation. Yet you keep reading and posting, posting and reading. Why are you reading this reply when you don't care?
Also, I don't feel a need to up my post count by repeatedly telling everyone that I believe this is the worst or most epic thread in the history of DT.
Lighten up, Francis.
Thomas - The Tank Engine
|
|
|
|
Joined: Sep 2006
Posts: 5,371
Hall of Famer
|
Hall of Famer
Joined: Sep 2006
Posts: 5,371 |
655 views 75 repIies, I suppose this thread did better than the Friday joke. 
|
|
|
|
Joined: Sep 2006
Posts: 2,877
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 2,877 |
There's no football to talk about so this thread keeps going. That's it, pure and simple.
Frankly, I agree with the link that was put up yesterday. You're trolling for any response you can get.
Save the crap about me posting and posting. This is my 3rd post and 2 of them were to answer questions that were asked of me.
You lighten up, troll-boy.
"People who drink light 'beer' don't like the taste of beer; they just like to pee a lot."
|
|
|
|
Joined: Jul 2007
Posts: 3,960
Hall of Famer
|
Hall of Famer
Joined: Jul 2007
Posts: 3,960 |
Technically, since you are posting in a thread you obviously don't care about, doesn't that make you the troll? 
President - Fort Collins Browns Backers
|
|
|
|
Joined: Sep 2006
Posts: 2,877
Dawg Talker
|
Dawg Talker
Joined: Sep 2006
Posts: 2,877 |
"People who drink light 'beer' don't like the taste of beer; they just like to pee a lot."
|
|
|
|
Joined: Sep 2006
Posts: 658
All Pro
|
OP
All Pro
Joined: Sep 2006
Posts: 658 |
Thank you for your valuable contributions to a light hearted topic that some others may have had a bit of fun with.
Isn't there another punch-bowl where you can drop your magic?
Thomas - The Tank Engine
|
|
|
DawgTalkers.net
Forums DawgTalk Tailgate Forum 48÷2(9+3) = ????
|
|