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View Poll Results: 6÷2(1+2) equals what?
1 45 47.37%
7 1 1.05%
9 47 49.47%
No idea 2 2.11%
Voters: 95. You may not vote on this poll

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  #101  
Old 03.06.2011, 13:02
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Re: 6÷2(1+2) equals what exactly

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I didn't read all that. But go and look at the video you posted at the very end. For it to equal 1 you need additional brackets.
No it doesn't state that.
  #102  
Old 03.06.2011, 13:02
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Re: 6÷2(1+2) equals what exactly

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Pardon my absolute ignorance then, but why on earth are there two methods of reading/ordering?!
actually, there are many more ways than 2. just that only one of them is right
  #103  
Old 03.06.2011, 13:03
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Re: 6÷2(1+2) equals what exactly

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No it doesn't state that.
Well then the video is wrong too.

Edit: But the video didn't actually have any speech. So if it is written at the end with extra brackets....what else can one go on?


Seriously you're trolling now right?
  #104  
Old 03.06.2011, 13:04
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Re: 6÷2(1+2) equals what exactly

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Pardon my absolute ignorance then, but why on earth are there two methods of reading/ordering?!
Interpretation. Two different methods are taught around the world, maybe three.
  #105  
Old 03.06.2011, 13:05
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Re: 6÷2(1+2) equals what exactly

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yeah...let's all just forget about them. Except that the whole world uses them. People that solve the equations, and people that author the equations. But you forget about them.

I hope you're just trolling, because if you're being serious....
He has a proof on Youtube and all you have is just some conspiracy theories.
  #106  
Old 03.06.2011, 13:05
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Re: 6÷2(1+2) equals what exactly

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But do you do multiplication or division first?

I think it can be either 1 or 9 depending on how you were taught order of operations
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Interpretation. Two different methods are taught around the world, maybe three.
Why are we on page 5?
  #107  
Old 03.06.2011, 13:06
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Re: 6÷2(1+2) equals what exactly

It's 9. Didn't read the whole thread but here's why:

Addition and subtraction are done together, in the order they occur left-to-right. Not "all the additions first, and then all the subtractions" or vice versa. Roughly speaking the reason we do it this way (i.e. the reason the convention of doing it this way makes sense) is that addition and subtraction are 'opposite' operations, and you want them to cancel each other out. e.g. you want 6-2+2 to be the same thing as 6+2-2. The only way to guarantee that is to do both addition and subtraction in the order you find them.

Multiplication and division, same thing. Multiplying by two and dividing by two are 'opposites', so if you take a number and do both of those operations to it - in whichever order - you expect to get the same number you started with. In other words, you want 6*2/2 to be the same thing as 6/2*2, and the only way that can happen is to take them in order, rather than all multiplications first or all divisions first.

HTH
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  #108  
Old 03.06.2011, 13:09
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Re: 6÷2(1+2) equals what exactly

Open your minds folks. These rules you grew up with, enforced upon you as kiddies, are clouding your vision. The question was designed to confuse because it has been written incorrectly, in a form not acceptable to Mathematicians or Computer coders. It is a fairy optical illusion for the reader.

"So, the question is whether a/bc means (a/b)c or a/(bc). And the answer is, DON'T WRITE a/bc, because it will only cause confusion. Some people/software/whatever will make one interpretation, some will make the other, neither one has been endorsed by the Dalai Lama or any other great leader. Put in enough parentheses to make your writing foolproof."


Also,

http://mathforum.org/library/drmath/view/57021.html
  #109  
Old 03.06.2011, 13:10
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Re: 6÷2(1+2) equals what exactly

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No it doesn't state that.
Yes it does. The default option for 2(1+3) is 2x4, i.e. 2x(1+3).

You are looking for complication when there isn't any. If you want to do [2(1+3)], then you should write it - funnily enough - [2(1+3)].

Otherwise, it is known as what is called a "trick question". If that is the case, then it was written as a trick because the writer of the trick wanted to show how clever they are with regards to juxtaposition multiplications, and wanted to fool everyone into thinking that it was 2(1+3) and not [2(1+3)].

QED.
  #110  
Old 03.06.2011, 13:11
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Re: 6÷2(1+2) equals what exactly

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Yes it does. The default option for 2(1+3) is 2x4, i.e. 2x(1+3).

You are looking for complication when there isn't any. If you want to do [2(1+3)], then you should write it - funnily enough - [2(1+3)].

Otherwise, it is known as what is called a "trick question". If that is the case, then it was written as a trick because the writer of the trick wanted to show how clever they are with regards to juxtaposition multiplications, and wanted to fool everyone into thinking that it was 2(1+3) and not [2(1+3)].

QED.

That's exactly what I just said before you.
  #111  
Old 03.06.2011, 13:12
porsch1909
 
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Re: 6÷2(1+2) equals what exactly

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That's exactly what I just said before you.
So when 6÷2(1+2) is written 6÷2(1+2) you accept that the answer is 9 and when 6÷2(1+2) is written 6÷(2(1+2)) the answer is 1?
  #112  
Old 03.06.2011, 13:12
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Re: 6÷2(1+2) equals what exactly

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That's exactly what I just said before you.
Yes, but I was writing as you were - so we agree then. The answer is 9.
  #113  
Old 03.06.2011, 13:13
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Re: 6÷2(1+2) equals what exactly

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Open your minds folks. These rules you grew up with, enforced upon you as kiddies, are clouding your vision.
Yes, you can give them the red pill now.
  #114  
Old 03.06.2011, 13:14
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Re: 6÷2(1+2) equals what exactly

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So when 6÷2(1+2) is written 6÷2(1+2) you accept that the answer is 9 and when 6÷2(1+2) is written 6÷(2(1+2)) the answer is 1?
No. I am saying tell the person to write the question correctly and then answer it.
  #115  
Old 03.06.2011, 13:15
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Re: 6÷2(1+2) equals what exactly

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Yes, but I was writing as you were - so we agree then. The answer is 9.
Possibly.
  #116  
Old 03.06.2011, 13:15
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Re: 6÷2(1+2) equals what exactly

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No. I am saying tell the person to write the question correctly and then answer it.
So if you were given in an exam the question 6÷2(1+2), what would you write?

You have to give a single digit answer and can't write a story talking about juxtaposing stuff.

WHAT WOULD YOU WRITE UTH?!
  #117  
Old 03.06.2011, 13:18
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Re: 6÷2(1+2) equals what exactly

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BODMAS
Brackets first
Orders (ie Powers and Square Roots, etc.)
Division and Multiplication (left-to-right)
Addition and Subtraction (left-to-right)

=9 (also the answer Excel gives )

Divisions and multiplications rank equally, so you go left to right in order of appearance.
Whatever he said. Where is that thank you button? I havent heard BODMAS for at least 17 years!
  #118  
Old 03.06.2011, 13:18
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Re: 6÷2(1+2) equals what exactly

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So if you were given in an exam the question 6÷2(1+2), what would you write?

You have to give a single digit answer and can't write a story talking about juxtaposing stuff.

WHAT WOULD YOU WRITE UTH?!
If I was the examiner, I would write it correctly, and mark accordingly to the method taught that year.
If I was a pupil of that examiner, I would give the answer as taught.

The way I was taught, the answer is 1
The way you were taught, the answer is 9

The question is moot, as the question would be worded correctly, not as you have written it.
  #119  
Old 03.06.2011, 13:22
porsch1909
 
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Re: 6÷2(1+2) equals what exactly

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That would depend on what you want the answer to be !
Don't you mind what I want the answer to be UTH. What would you write? Would you just leave it blank in protest?
  #120  
Old 03.06.2011, 13:22
economisto
 
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Re: 6÷2(1+2) equals what exactly

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It's 9. Didn't read the whole thread but here's why:

Addition and subtraction are done together, in the order they occur left-to-right. Not "all the additions first, and then all the subtractions" or vice versa. Roughly speaking the reason we do it this way (i.e. the reason the convention of doing it this way makes sense) is that addition and subtraction are 'opposite' operations, and you want them to cancel each other out. e.g. you want 6-2+2 to be the same thing as 6+2-2. The only way to guarantee that is to do both addition and subtraction in the order you find them.

Multiplication and division, same thing. Multiplying by two and dividing by two are 'opposites', so if you take a number and do both of those operations to it - in whichever order - you expect to get the same number you started with. In other words, you want 6*2/2 to be the same thing as 6/2*2, and the only way that can happen is to take them in order, rather than all multiplications first or all divisions first.

HTH
I don't believe you. Please tell me what, if any, qualifications you have in "Maths". Some sort of high school diploma perhaps?
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