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 View Poll Results: 6÷2(1+2) = ? 9 94 54.34% 1 77 44.51% 7 2 1.16% Voters: 173. You may not vote on this poll

April 28th, 2011, 03:44 AM   #1 (permalink)
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6÷2(1+2) = ?

Welcome to one of the easiest algebraic equations in the world!... or is it? MUAHAHAHAHA!

Can you solve this pesky little problem while also giving damning evidence that the other 2 can not possibly work?

YOU MUST CHOOSE ONE AND ONLY ONE!

Calculations:

6÷2(1+2) =
6÷2(3) =
3*3 =
9

6÷2(1+2) =
6÷2(3) =
6÷6 =
1

6÷2(1+2) =
6÷2+4 =
3+4 =
7

ADDED: Those calculations are simply thought processes for each possible answer. I am aware that there may or may not be something missing that could help clarify, but I am leaving it up to you to figure it out.

 Last edited by Vihzel; April 28th, 2011 at 05:17 AM.
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April 28th, 2011, 04:05 AM   #2 (permalink)
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LOL . . . the debate continues.

Actually, I once used a similar problem in HP ICT Training. In my case, it was this one: 1 + 2 x 3 = ?

Some said 9, some said 7. Oddly, when I expressed it the following way, time to solve was longer: 1.0 + 2.00 x 3.000 = ___

Since I am a world champion thread hijacker, I'll ask the gathered group to give the next number in this series and explain their guess.

1,1,1,2,1 _____

Bob

PEMDAS!

Nuff Said

If you are bored, try these math problems.

Unsolved Problems -- from Wolfram MathWorld

Bob

 Last edited by Vihzel; April 28th, 2011 at 04:19 AM.
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April 28th, 2011, 04:25 AM   #3 (permalink)
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@Vihzel,
Can I have a voting option: Both "9" and "1"?

April 28th, 2011, 04:38 AM   #4 (permalink)
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If you use the order of operations, Brackets comes before all :P Therefore 9 would be the correct answer
(Either 9 or 1 :P )
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April 28th, 2011, 05:15 AM   #5 (permalink)
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You have to make a decision simply based on the equation given in the title. Imagine as if you had that on a test. Better be careful.

An equivalent problem was posted on a physics forum with two answers essentially at 50/50.

April 28th, 2011, 06:07 AM   #6 (permalink)
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Ahhh!

I like a challenge!

I LOVE Maths even though I suck at it so much!

Hmm the brackets say that is a single unit but on the other hand the division sign shows the whole thing or the entire equation is divided by 6.

So it looks like this:

2(1 + 2)
________

6

So it is 1.

So I think the answer is 1 if we use BODMAS. It should be that I think so at least.

However BODMAS claims that Division comes before multiplication and then multiplication comes after Division in that order / sequence.

But some Mathematicians say that neither Division and Mulitplication comes before the other but I am not too sure why lol.

I think they are both equally important because both basically boil down to Add and Subtract.

Quote:
 Originally Posted by Bob Maxey Since I am a world champion thread hijacker, I'll ask the gathered group to give the next number in this series and explain their guess. 1,1,1,2,1 _____
World champion thread hi-jacker LOL you make me laugh dude!

If we use sequences and series I think the answer is 3

I think this is an "Dual" infinite sequence

That is there are two sequences in this number line.

First Sequence is 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

NOW the second sequence is:

1, 2, 3, 4, 5, etc etc

But I could be totally wrong lol
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April 28th, 2011, 06:33 AM   #7 (permalink)

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You must solve the problem within the brackets as per the order of operations, therefore it must be 9. Don't you guys remember 6th grade math?

April 28th, 2011, 06:55 AM   #8 (permalink)
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Brackets are clear enough. The more interesting part is this:

6
--- * 3 = 9
2

or

6
--- = 1
2*3

Depends how you look at it...

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April 28th, 2011, 07:09 AM   #9 (permalink)
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The parentheses define the breakdown of the function

The parentheses dictate that the product within them should multiplied by the product external to them.

April 28th, 2011, 07:12 AM   #10 (permalink)
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Ahh, wonderful trick question. I haven't seen this since my days as a janitor for the CIA ... ladies rooms only (hey, government jobs have their perks.)

It a basic binary cipher where integers represent 1's and symbols 0's so:

6÷2(1+2) = ?

is

1010101000

Of course, now I have to kill you.
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April 28th, 2011, 08:09 AM   #11 (permalink)
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google says so ... i'm voting "9"

April 28th, 2011, 09:52 AM   #12 (permalink)
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I go with 9 because of BODMAS

Quote:
 6÷2(1+2) = 6÷2(3) = 3*3 = 9
Quote:
 BBrackets firstOOrders (ie Powers and Square Roots, etc.)DMDivision and Multiplication (left-to-right)ASAddition and Subtraction (left-to-right)
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April 28th, 2011, 10:02 AM   #13 (permalink)
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Wolfram Alpha says 9 so I'm going with that.

Quote:
 Originally Posted by Bob Maxey LOL . . . the debate continues. Actually, I once used a similar problem in HP ICT Training. In my case, it was this one: 1 + 2 x 3 = ? Some said 9, some said 7. Oddly, when I expressed it the following way, time to solve was longer: 1.0 + 2.00 x 3.000 = ___ The answer to your question is 8.96. Also, make the responders prove their answer. Since I am a world champion thread hijacker, I'll ask the gathered group to give the next number in this series and explain their guess. 1,1,1,2,1 _____ Bob PEMDAS! Nuff Said If you are bored, try these math problems. Unsolved Problems -- from Wolfram MathWorld Bob
I'm guessing the answer is 3

The sequence is

1,1

1,2

1,3

1,4

1,5

and so on ...
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 Last edited by shawn1224; April 28th, 2011 at 10:06 AM.
April 28th, 2011, 10:23 AM   #14 (permalink)
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Quote:
 Originally Posted by Usta Brackets are clear enough. The more interesting part is this: 6 --- * 3 = 9 2 or 6 --- = 1 2*3 Depends how you look at it...
The problem is more clearly written like this: (6/2) * (1+2), in which the answer is 9.

We were always taught to write using parenthesis/brackets when in question, so as to be clear about our intention, and to circumvent confusion.

In order for it to be 1, people would have to add their own set of parenthesis/brackets, which wouldn't follow the problem, as written. It's not written as: 6/[2*(1+2)], for example.

 Last edited by krouget; April 28th, 2011 at 10:26 AM.
April 28th, 2011, 11:31 AM   #15 (permalink)
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following BODMAS
and the assumption of (), when next to a #, there is an assumption fo () around them.

(6) / (2(1+2)) =
6 / (2(3)) =
6 / 6 =
1 = x

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April 28th, 2011, 12:43 PM   #16 (permalink)
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its 1

In school many years ago they taught us PEMDAS or Please Excuse My Dear Aunt Sally if that helped ppl remember it easier. They still do this today, my kids school anyway.

Parenthese
Exponents
Multiplication
Division
Subtraction

Ahhh I was in so big of a rush I see Bob Maxey aleady bought up PEMDAS. It pays to read threads from the beginning to end and not skip...lol

I see one thing...there are some different schools of thought in here...lol I'm sticking with 1.

Now I'm curious: I see BODMAS could be interpreted division first than multiplication. How can one use both PEMDAS and BODMAS and get the same answer?

And doing some reading I guess I should say they taught us PEMDAS in the U.S.
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April 28th, 2011, 01:25 PM   #17 (permalink)
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theres two right answers, if I remember PEMDAS was actually

P
E
M+D
A+S

and it shouldnt matter what order you use. except with this problem CURSE YOU!

April 28th, 2011, 01:30 PM   #18 (permalink)
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Quote:
 Originally Posted by Bob Maxey LOL . . . the debate continues. Actually, I once used a similar problem in HP ICT Training. In my case, it was this one: 1 + 2 x 3 = ? Some said 9, some said 7. Oddly, when I expressed it the following way, time to solve was longer: 1.0 + 2.00 x 3.000 = ___ The answer to your question is 8.96. Also, make the responders prove their answer. Since I am a world champion thread hijacker, I'll ask the gathered group to give the next number in this series and explain their guess. 1,1,1,2,1 _____ Bob PEMDAS! Nuff Said If you are bored, try these math problems. Unsolved Problems -- from Wolfram MathWorld Bob

as for your problem bobby boy (just felt like it ) im going to guess the answer is 3 although with my answer im inputting my own order

April 28th, 2011, 02:17 PM   #19 (permalink)
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I say 9 as well. With PEMDAS, it's what's inside the parenthesis. As others have said, when the one number is in the parenthesis and the other is outside, it can simply be rewritten with a multiplication symbole.

2(3) = 2 * 3, and once you rewrite it that way, PEMDAS takes over and you divide 6/2 first then multiply by 3.

Also just punched it into my TI-83 and got 9. I trust that thing with my life...well at least when it comes to math.

April 28th, 2011, 02:24 PM   #20 (permalink)
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Quote:
 Originally Posted by Usta Brackets are clear enough. The more interesting part is this: 6 --- * 3 = 9 2 or 6 --- = 1 2*3 Depends how you look at it...
Order of operations (PEMDAS) states that multiplication and division is done left to right in the same step... as is addition and subtraction.. answer is 9.

http://www.purplemath.com/modules/orderops.htm
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April 28th, 2011, 02:26 PM   #21 (permalink)
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Quote:
 Originally Posted by ParishL31 I say 9 as well. With PEMDAS, it's what's inside the parenthesis. As others have said, when the one number is in the parenthesis and the other is outside, it can simply be rewritten with a multiplication symbole. 2(3) = 2 * 3, and once you rewrite it that way, PEMDAS takes over and you divide 6/2 first then multiply by 3. Also just punched it into my TI-83 and got 9. I trust that thing with my life...well at least when it comes to math.
Also hate to burst your bubble but unless you dictate the order of operations into the equation when it is entered into a ti-83/84, the calculator will NOT follow order of operations.

However you are still correct.

April 28th, 2011, 02:30 PM   #22 (permalink)
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it's 1...order of operations.

April 28th, 2011, 02:46 PM   #23 (permalink)
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so.. does the OP even have the right answer?????

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April 28th, 2011, 03:08 PM   #24 (permalink)
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^lol!!

The parentheses is the key. Thats why I think its 1. Now that I think about it, I see how using BODMAS gives the same answer of 1. You work with the parentheses until you cant anymore.

Now I see how dan330 could use BODMAS and still get 1. And 2(3) is 2 times 3, thats what I was taught. Solving that still working with the parentheses makes that 6. Then its 6÷6.

The reason why the other 2 answers wont work is you have to do everything inside the parentheses first then go from there. That cancels the answer being 7 out off the break.

And the only way for the answer to be 9 is if you go out of order.

What do I win?

 Last edited by jroc; April 28th, 2011 at 03:17 PM.
April 28th, 2011, 03:54 PM   #25 (permalink)
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Quote:
 Originally Posted by Stinky Stinky Ahhh! If we use sequences and series I think the answer is 3 I think this is an "Dual" infinite sequence That is there are two sequences in this number line. First Sequence is 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, NOW the second sequence is: 1, 2, 3, 4, 5, etc etc But I could be totally wrong lol
Clue #1:

Do not look at it as a math problem. Think every day life.

April 28th, 2011, 03:58 PM   #26 (permalink)
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Quote:
 Originally Posted by shawn1224 Wolfram Alpha says 9 so I'm going with that. I'm guessing the answer is 3 The sequence is 1,1 1,2 1,3 1,4 1,5 and so on ...
No soup for you!

Clue #2: 1, 1, 2, 1, 3, 1, 4, . . . Next number and why. Do not think of it as a math problem; it is a sequence, so what is the next number and why?

Bob

April 28th, 2011, 04:10 PM   #27 (permalink)
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Rules say the answer is 9, but some older compilers would evaluate that as 1.

Which also happens to be the next number in the sequence, 1,1,1,2,1,... or 1,1,2,1,3,1,4,1,...

Unless there's no rhythm to this riddle.

April 28th, 2011, 04:26 PM   #28 (permalink)
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Quote:
 Originally Posted by EarlyMon Rules say the answer is 9, but some older compilers would evaluate that as 1. Which also happens to be the next number in the sequence, 1,1,1,2,1,... or 1,1,2,1,3,1,4,1,... Unless there's no rhythm to this riddle.
Think not of math, young grasshopper; but those things that interest Mr. Bilbie. Not integer sequences real math folks consider sequences. No Corn Flake numbers, and forget Mr. Fibonacci. You might consider obvious sequences of common events in your daily life.

Stop using Google, too! Dag Nabbit. much of the above stuff is what some call a distraction.

Remember, you cannot just give the numbers arriving next, but explain your answer. Just like in school.

Smiley

Bob

April 28th, 2011, 04:53 PM   #29 (permalink)
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Though people are usually taught that putting a number next to parentheses means multiply, what it actually means is the number is a FUNCTION OF what's in the parentheses... meaning that in the above scenario, two is a function of 1+2, meaning you apply the 2 to what's in the parentheses (1+2, or 3) giving you 6.

Meaning it's 6/6 = 1.

You can't really say it's (6/3) * (1+2), because that's extrapolating parentheses to indicate multiplication, when they really don't-- it's just an easier way of thinking of it (which in this case is inaccurate). That's why using PEMDAS or what have you doesn't work here, because there's no "M".

edit: to be a little more clear, let's say you have the function 6/f(x). Looking at it like that, most of you would probably agree that you can't separate f from x. Well, if f=2 and x=3, you STILL can't separate f from x, even if we've assigned it a constant.

 Last edited by sonofaresiii; April 28th, 2011 at 04:57 PM.
April 28th, 2011, 05:01 PM   #30 (permalink)
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Quote:
 Originally Posted by Bob Maxey No soup for you! Clue #2: 1, 1, 2, 1, 3, 1, 4, . . . Next number and why. Do not think of it as a math problem; it is a sequence, so what is the next number and why? Bob
1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8...etc etc

April 28th, 2011, 05:29 PM   #31 (permalink)
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Quote:
 Originally Posted by czechplastik 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8...etc etc
No crackers or soup for you. Also, tell us what the string represents.

CLUE: Think finite sets.

CLUE: Forget about math, has nothing to do with it. Think number substitution and review Furnelli Rialto's famous 1946 MIT paper on Differential set number mutational differentiational strings within infinite negative number sets.

CLUE: Since I am thinking of a finite set, your string will fail if allowed to continue. So here is part of the sequence: 10 1 11 1 12 1 1 1

God, what a seriously challenged group (Smiley, ducking, smiley)

Bob

April 28th, 2011, 06:01 PM   #32 (permalink)
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Quote:
 Originally Posted by sonofaresiii Though people are usually taught that putting a number next to parentheses means multiply, what it actually means is the number is a FUNCTION OF what's in the parentheses... meaning that in the above scenario, two is a function of 1+2, meaning you apply the 2 to what's in the parentheses (1+2, or 3) giving you 6. Meaning it's 6/6 = 1. You can't really say it's (6/3) * (1+2), because that's extrapolating parentheses to indicate multiplication, when they really don't-- it's just an easier way of thinking of it (which in this case is inaccurate). That's why using PEMDAS or what have you doesn't work here, because there's no "M". edit: to be a little more clear, let's say you have the function 6/f(x). Looking at it like that, most of you would probably agree that you can't separate f from x. Well, if f=2 and x=3, you STILL can't separate f from x, even if we've assigned it a constant.
Disagree.

By saying that f(x)=2*x, you've said that implied parens that didn't exist in the originally malformed expression are in effect. In other words, you've re-expressed the problem as:

6/(2(1+2))

Malformed expressions can only be evaluated on their face.

April 28th, 2011, 06:09 PM   #33 (permalink)
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I hope 1 + 1 still equals 2, or I'll be sad.

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April 28th, 2011, 06:12 PM   #34 (permalink)

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Give a bunch of geeks some numbers....

April 28th, 2011, 06:13 PM   #35 (permalink)
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lol@the last 2 posts...

April 28th, 2011, 06:19 PM   #36 (permalink)
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Quote:
 Originally Posted by Bob Maxey Think not of math, young grasshopper; but those things that interest Mr. Bilbie. Not integer sequences real math folks consider sequences. No Corn Flake numbers, and forget Mr. Fibonacci. You might consider obvious sequences of common events in your daily life. Stop using Google, too! Dag Nabbit. much of the above stuff is what some call a distraction. Remember, you cannot just give the numbers arriving next, but explain your answer. Just like in school. Smiley Bob
I thought not of math, didn't use google, and did explain my answer - rhythm; evidently not so far from your own Mr. Bilbie.

I simply got it wrong.

April 28th, 2011, 06:21 PM   #37 (permalink)
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Quote:
 Originally Posted by 330D Give a bunch of geeks some numbers....
I like Geeks. Not in squads, but individually.

April 28th, 2011, 06:22 PM   #38 (permalink)
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Quote:
 Originally Posted by EarlyMon Disagree. By saying that f(x)=2*x, you've said that implied parens that didn't exist in the originally malformed expression are in effect. In other words, you've re-expressed the problem as: 6/(2(1+2)) Malformed expressions can only be evaluated on their face.
Well I disagree with your disagreement! So there!

edit: to explain myself a little better, no, i'm not saying f(x) = 2*x. In fact, I'm saying that's the problem-- OTHER people are saying that, but it's not true. f(x) is a function, that is f of x (f is a function of x), meaning the variable f is applied to the variable x. In our equation, we would apply 2 to 3, which in effect is multiplying it... but it's not the same as saying f(x) = f*x (though isolated, those equations are redundant). The problem is that USUALLY creating a function simply means multiplying it, so we've been trained to think that 2(3) = 2*3. But it isn't.

 Last edited by sonofaresiii; April 28th, 2011 at 06:26 PM.
April 28th, 2011, 06:22 PM   #39 (permalink)
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Quote:
 Originally Posted by EarlyMon I thought not of math, didn't use google, and did explain my answer - rhythm; evidently not so far from your own Mr. Bilbie. I simply got it wrong.
when should I hand out the answer?

CLUE: Horology, think Horology

April 28th, 2011, 06:30 PM   #40 (permalink)
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I knew this thread would attract a fair amount of attention. I do have the answer... or perhaps I only have the answer that I believe to be true...

What I suspected would happen in this thread has happened on Facebook and on the physics forum where 34 people voted for one number and 36 voted for the other. Very fascinating stuff!

April 28th, 2011, 06:32 PM   #41 (permalink)
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^See...u know what.....

April 28th, 2011, 06:34 PM   #42 (permalink)
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Quote:
 Originally Posted by Vihzel I knew this thread would attract a fair amount of attention. I do have the answer... or perhaps I only have the answer that I believe to be true... What I suspected would happen in this thread has happened on Facebook and on the physics forum where 34 people voted for one number and 36 voted for the other. Very fascinating stuff!
I really, really hope it doesn't turn out I'm pulling this explanation out of my @ss

April 28th, 2011, 06:35 PM   #43 (permalink)
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2+2=5

 The Following User Says Thank You to czechplastik For This Useful Post: breadnatty08 (May 4th, 2011)
April 28th, 2011, 06:37 PM   #44 (permalink)
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I want the last 15 minutes of my life back!

April 28th, 2011, 06:40 PM   #45 (permalink)
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Quote:
 Originally Posted by sonofaresiii I really, really hope it doesn't turn out I'm pulling this explanation out of my @ss

lol!!

April 28th, 2011, 06:43 PM   #46 (permalink)

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Quote:
 Originally Posted by Bob Maxey I like Geeks. Not in squads, but individually.
Me too, would I be here if it were otherwise?

April 28th, 2011, 06:46 PM   #47 (permalink)
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Quote:
 Originally Posted by czechplastik 2+2=5
Wrong

First off, we must follow PEMDAS

Parenthesis
Exponentials
Multiplication
Division
Subtraction

Therefore, we start out with the parenthesis

6÷2(2+1)

(2+1) = 3

6÷2(3)

Then multiplication

2(3) = 6

6÷6

Then division

1

Simple as that lol.

April 28th, 2011, 06:49 PM   #48 (permalink)
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Quote:
 Originally Posted by Bob Maxey Clue #1: Do not look at it as a math problem. Think every day life.
Hahah!

LOL I was wrong!

Yay!

I told you I suck at maths!

Hmm every day life hey?

Not a maths question but has numbers involved, that is a little strange but that is cool by me

So then what...

NO DON'T FRACKING JOKE!!!

I think it's TIME!!!

xD

Hahahaa!

I am going crazy trying to answer this 1

April 28th, 2011, 06:58 PM   #49 (permalink)
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No wait I think I am tripping LOL

Never mind what I said I am going tokig / crazy

April 28th, 2011, 07:00 PM   #50 (permalink)
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1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 1, 2, 2, 2, 3, 2...

the first number denotes the unit's sequential order, the second the "round." It's like a date followed by a year.

edited because I forgot one of the numbers

 Android Forums 6÷2(1+2) = ?