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Old 04-12-2011, 02:47 AM   #1
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48÷2(9+3) =

Found this little math problem floating innocently around the interwebs, so I thought I'd post it here and see what happens.



"They should rename the team to the Washington Government Sucks. Put Obama on the helmet. Line the entire walls of the stadium with the actual text of the ACA.
Fix their home team score on the board to the debt clock, they can win every game 17,000,000,000,000 to 24. Losing team gets taxed by the IRS 100%, then droned."
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Old 04-12-2011, 03:19 AM   #2
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2. You don't scare me with your question that threatens to make me look like a fool if it turns out to be some weird trick question. I can't see the trick and I have no shame so ha.


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Old 04-12-2011, 03:23 AM   #3
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288. The 2 isn't part of the parentheses, so there's no reason to multiply it first.


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Old 04-12-2011, 03:31 AM   #4
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And so it begins...


MUHAHAHAHA!


"They should rename the team to the Washington Government Sucks. Put Obama on the helmet. Line the entire walls of the stadium with the actual text of the ACA.
Fix their home team score on the board to the debt clock, they can win every game 17,000,000,000,000 to 24. Losing team gets taxed by the IRS 100%, then droned."
-Toker
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Old 04-12-2011, 03:44 AM   #5
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It's 288. You do math from left to right, not at random.


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Old 04-12-2011, 03:48 AM   #6
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I agree with liverandbacon. It's 2.
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Old 04-12-2011, 03:53 AM   #7
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it's 288. A less ambiguous way to write it would be

Code:
48
- (9+3)
2

there's a reason mathematicians avoid the '÷' symbol

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Old 04-12-2011, 05:10 AM   #8
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48÷2(9+3) = 288
48÷(2(9+3)) = 2


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Old 04-12-2011, 05:32 AM   #9
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288? must be some new kind of math.

(48÷2)(9+3)=288
48÷2(9+3)=48÷2(12)= 48÷24=2


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Old 04-12-2011, 05:46 AM   #10
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Quote:
Originally Posted by acdcfanbill View Post
it's 288. A less ambiguous way to write it would be

Code:
48
- (9+3)
2

there's a reason mathematicians avoid the '÷' symbol
This is exactly what I got and how I got it. I can't be 100% certain that I'm right, though. I haven't had a math class in 20 years.


"They should rename the team to the Washington Government Sucks. Put Obama on the helmet. Line the entire walls of the stadium with the actual text of the ACA.
Fix their home team score on the board to the debt clock, they can win every game 17,000,000,000,000 to 24. Losing team gets taxed by the IRS 100%, then droned."
-Toker
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Old 04-12-2011, 05:59 AM   #11
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288. Do not doubt the Wolfram.


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Old 04-12-2011, 06:40 AM   #12
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AH! AHH!! AAAAAAAAHHHHH!!!!!!!!!!!!! MATH! *runs away*

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Old 04-12-2011, 10:52 AM   #13
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AH! AHH!! AAAAAAAAHHHHH!!!!!!!!!!!!! MATH! *runs away*
Indeed.

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Old 04-12-2011, 10:55 AM   #14
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Just because someone fails at math doesn't necessarily mean they fail at English too.

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Old 04-12-2011, 11:11 AM   #15
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Quote:
Originally Posted by Lynk Former View Post
Just because someone fails at math doesn't necessarily mean they fail at English too.
Exactly, just had my exams a couple of weeks ago, and i had studied math like a maniac for the last month, and just barely passed, while, without studying English at all I scored an E (which is the second best grade here) at it.


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Old 04-12-2011, 11:42 AM   #16
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One one hand, it's been about 12 years since I've learned much new math, and 10 since having to use it regularly. So my memory could be faulty. I thought one generally prioritized multiplication over division, unless it was clearly laid out using better notation than '÷', which no one uses in serious maths work.

On the other hand:
Quote:
Originally Posted by Working Class Hero View Post
I agree with liverandbacon. It's 2.
I consider WCH and I agreeing on something to be conclusive proof that it must be true.

I looked around to see if the question had been posed in other places. On some bodybuilding forum, the thread got to 84 pages long in 7 hours, before getting locked. 2760 people voted in the poll, and it was pretty evenly split between 2 and 288. I guess it shouldn't be surprising that a bunch of dudes who spend all day calculating body fat %, measuring out supplements, and calculating weights would get so excited about math. Still, I find the idea of some hulking monster with 23 inch biceps and 6% body fat hunched over a computer arguing about math hilarious.

Quote:
Originally Posted by Drunkside View Post
Exactly, just had my exams a couple of weeks ago, and i had studied math like a maniac for the last month, and just barely passed, while, without studying English at all I scored an E (which is the second best grade here) at it.
How does one study for English, other than occasionally doing the work they're assigned during the year?

edit: no idea how this double post happened. I'm reporting it, and I hope that scoundrel liverandbacon gets the banning he deserves.


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Last edited by mimartin; 04-12-2011 at 11:52 AM.
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Old 04-12-2011, 11:50 AM   #17
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This is the only Math I know...


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Old 04-12-2011, 11:53 AM   #18
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= 2.

Can't break up the 2(9+3). 48 / 2(9+3) = 48 / 18+6 = 48/24


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Old 04-12-2011, 11:55 AM   #19
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Quote:
Originally Posted by Liverandbacon View Post
How does one study for English, other than occasionally doing the work they're assigned during the year?
Memorising poems for recital, answers to questions from the textbook, the important parts of the essays that they are likely to ask you, lists of synonyms/anyonyms/etc and spellings of difficult words, how else?


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Old 04-12-2011, 11:56 AM   #20
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Rule 1: First perform any calculations inside parentheses.
Rule 2: Next perform all multiplications and divisions, working from left to right.
Rule 3: Lastly, perform all additions and subtractions, working from left to right.

288

48/2(9+3)= 48/2*12=24*12=288

Last edited by mimartin; 04-12-2011 at 12:10 PM.
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Old 04-12-2011, 12:05 PM   #21
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Just because someone fails at math doesn't necessarily mean they fail at English too.


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Old 04-12-2011, 12:47 PM   #22
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Nice to know even the math threads are arguing over this. EvilQ just being EvilQ...


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Old 04-12-2011, 01:12 PM   #23
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2. We don't do Math from left to right, we do it by the Order of Operations from left to right. The O of O decrees that we add the 9 and the 3 within the parenthesis, multiply the result (12) by the 2, and then do the division.

Parenthesis/Brackets
Expontents
Multiplication
Division
Addition
Subtraction


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Old 04-12-2011, 01:37 PM   #24
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Ehehe, someone's been Anon.


It's 288.
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Old 04-12-2011, 02:10 PM   #25
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Quote:
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It's 288.
The Rhett has spoken. All hail the Rhett!

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Old 04-12-2011, 02:12 PM   #26
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Quote:
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No...


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Old 04-12-2011, 02:44 PM   #27
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Old 04-12-2011, 03:05 PM   #28
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Quote:
Originally Posted by TKA-001 View Post
2. We don't do Math from left to right, we do it by the Order of Operations from left to right. The O of O decrees that we add the 9 and the 3 within the parenthesis, multiply the result (12) by the 2, and then do the division.

Parenthesis/Brackets
Expontents
Multiplication
Division
Addition
Subtraction
nope, multiplication and division have the same precedence, you perform them from left to right. it's a common misconception that multiplication takes precedence over division and addition over subtraction, but they don't.

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Old 04-12-2011, 04:29 PM   #29
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Didn't you guys do it all by hand?

Show your work!

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Old 04-12-2011, 06:22 PM   #30
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288.
Microsoft Excel agrees. Enter this in a cell:
Code:
=SUM(48/2*(9+3))

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Old 04-12-2011, 06:33 PM   #31
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Old 04-12-2011, 07:58 PM   #32
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As I recall, doing it left to right is just a convenience of most westerner's reading and writing left to right, with the one exception being DIVISION, and only then because it is generally expected to be written the way it would be said aloud. The order of operations was always paramount in how a math problem was solved. Multiplication has no precedence over division in the order of operations - they are at the same level of abstraction.

Others have sufficiently covered how to do the problem. Especially mim and TKA-001.

The answer is 288. Not really much opinion about it, as Lynk's Wolfram shows us.

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Old 04-12-2011, 08:51 PM   #33
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Quote:
Originally Posted by Qui-Gon Glenn View Post
Others have sufficiently covered how to do the problem. Especially mim and TKA-001.
Quote:
Originally Posted by mimartin View Post
288
Quote:
Originally Posted by TKA-001 View Post
2
Now I'm really confused.




Quote:
Originally Posted by mimartin View Post
The answer is 288. Not really much opinion about it, as Lynk's the mighty Sabre's Wolfram shows us.
Fixed

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Old 04-12-2011, 09:17 PM   #34
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Old 04-12-2011, 09:34 PM   #35
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Old 04-12-2011, 09:48 PM   #36
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Old 04-12-2011, 10:58 PM   #37
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Similiar problem....
http://www.purplemath.com/modules/orderops2.htm

Quote:
Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.
16 ÷ 2[8 – 3(4 – 2)] + 1
= 16 ÷ 2[8 – 3(2)] + 1
= 16 ÷ 2[8 – 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2],rather than with the "16 divided by". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:

Note that different software will process this differently; even different models of Texas Instruments graphing calculators will process this differently. In cases of ambiguity, be very careful of your parentheses, and make your meaning clear. The general consensus among math people is that "multiplication by juxtaposition" (that is, multiplying by just putting things next to each other, rather than using the "×" sign) indicates that the juxtaposed values must be multiplied together before processing other operations. But not all software is programmed this way, and sometimes teachers view things differently.
So, looks like the answer to the OP is either 2 or 288.....depending on your teacher.


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Old 04-12-2011, 11:57 PM   #38
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But, that's wrong.
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Old 04-13-2011, 12:02 AM   #39
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sounds like a programing error.
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Old 04-13-2011, 12:07 AM   #40
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Quote:
Originally Posted by Boba Rhett View Post
But, that's wrong.
Based on what interpretation? That's the only one I've seen* where the O of O is addressed in that fashion (ie. w/ regard to 2() vs 2 * () ). I'd just tend to go with the intrerpretation of sloppy or ambiguous notation.

*mind you, it was by no means an exhaustive search (several O of O sites via googling). If you've got something more definitive, by all means share it. I don't have a dog in this race.


Now, I want you to remember that no bastard ever won a war by dying for his country. He won it by making the other poor, dumb bastard die for his country.---Patton

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