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%

03.06.2011, 12:42

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Re: 6÷2(1+2) equals what exactly

It's all about juxtaposition multiplication. Those that believe, and those that are wrong. Grudgingly, both 9 and 1 are correct. The kiddys that remember PEMDAS will be happy, but back in the modern world of Computers and equations, it's 1.

03.06.2011, 12:42

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Re: 6÷2(1+2) equals what exactly

I'm going to go with 9.
I think people might be confused with the 2 next to the brackets.
This is of course the equivalent of multiplication sign so I would change simplify it to
6 ÷ 2 x (1+2)
Brackets first: 6 ÷ 2 x 3
Left to right since everthing left is mult/division: 3 x 3
=9
but I'm also no mathemagician so whatever.

03.06.2011, 12:46

Re: 6÷2(1+2) equals what exactly

Quote:

It's all about juxtaposition multiplication. Those that believe, and those that are wrong. Grudgingly, both 9 and 1 are correct. The kiddys that remember PEMDAS will be happy, but back in the modern world of Computers and equations, it's 1.

Did we really need everything that's been discussed in this thread in video format?

If you look at the very end it proves that 6÷2(1+2) = 9 because for it to equal 1 it has to be written 6÷[2(1+2)].

03.06.2011, 12:47

Re: 6÷2(1+2) equals what exactly

Quote:

It's all about juxtaposition multiplication. Those that believe, and those that are wrong. Grudgingly, both 9 and 1 are correct. The kiddys that remember PEMDAS will be happy, but back in the modern world of Computers and equations, it's 1.

lol

There's a word for someone who ignores Google (what do they Yale grad billionaire coders know about maths anyway), ignores Excel (not a lot of important maths has been done on that in the last 20 years), ignores the majority of this thread, the majority of the internet and finds a YOUTUBE video to prove, not that he's right, but that at least he's not definitely wrong.

I don't know what that word is. But I have my suspicions.

03.06.2011, 12:48

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Re: 6÷2(1+2) equals what exactly

Quote:

lol
There's a word for someone who ignores Google (what do they Yale grad billionaire coders know about maths anyway), ignores Excel (not a lot of important maths has been done on that in the last 20 years), ignores the majority of this thread, the majority of the internet and finds a YOUTUBE video to prove, not that he's right, but that at least he's not definitely wrong.
I don't know what that word is. But I have my suspicions.

The answer isn't diluted enough.

03.06.2011, 12:48

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Re: 6÷2(1+2) equals what exactly

Quote:

lol
There's a word for someone who ignores Google (what do they Yale grad billionaire coders know about maths anyway), ignores Excel (not a lot of important maths has been done on that in the last 20 years), ignores the majority of this thread, the majority of the internet and finds a YOUTUBE video to prove, not that he's right, but that at least he's not definitely wrong.
I don't know what that word is. But I have my suspicions.

It depends on how you were taught. Which method.

Both answers are right, it's how you parse the equation that matters.

SO tell me, which part in the video did you disagree with ? Why do you favour one method over the other ?

03.06.2011, 12:49

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Re: 6÷2(1+2) equals what exactly

Quote:

Did we really need everything that's been discussed in this thread in video format?
If you look at the very end it proves that 6÷2(1+2) = 9 because for it to equal 1 it has to be written 6÷[2(1+2)].

03.06.2011, 12:50

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Re: 6÷2(1+2) equals what exactly

Quote:

Did we really need everything that's been discussed in this thread in video format?
If you look at the very end it proves that 6÷2(1+2) = 9 because for it to equal 1 it has to be written 6÷[2(1+2)].

It proves both.

1st WAY:
just forget about the PEMDAS or BODMAS rules,

lets come back to the origin of mathematics which is solving human's problem:

assumption: Have 6 apples, with 2 classes where combination of 2 boys & 1 girl.

So, each of them get how many apple(s)?!

thus, 2 classes , 2 boys & 1 gals = 3 students + 3 Students = total 6 students

Now, only have 6 apples

6 apples for 6 students.

Therefore, 1 student only have 1 apple = 1 (answer)

2nd Way:
6÷2(1+2)

lets assume y =2 so that , 6÷y(1+y) = 6 ÷ (y+y^2)

now replace 2 into y it shows 6 ÷ ( 2 + 2^2) = 6 ÷ (2 + 4)

= 6 ÷ 6

= 1 (answer)

3rd way:
6÷2(1+2)

lets assume (1+2) = a so that, 6÷2a

now = 6/(2a) 2a is slightly different with 2 x a ; please dun tell me that is (6/2)x a !!

lets simplify = 3/a

now replace (1+2) into a = 3 (1+3)

= 3/3 = 1 (answer) if you not agree again! fine lets go for the 4th way

4rth Way

6÷2(1+2) from this equation , we would say it has two group , A = 6 ; B = 2(1+2)

lets 6÷2(1+2) = z so that, A/B = z

A = zB

6 = z[2(1+ 2)]

6 = 6z

z = 6/6 = 1 (answer)

03.06.2011, 12:53

Re: 6÷2(1+2) equals what exactly

Quote:

Why do you favour one method over the other ?

I don't. The world does. Google does. Excel does. All maths text books do. All of them. All over the world. So I'm with them. You can stay with a Youtube video if it makes you happy.

03.06.2011, 12:55

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Re: 6÷2(1+2) equals what exactly

ok. you're all doing it wrong.

start:

6 ÷ 2 x (1+2)

Brackets first: 6 ÷ 2 x 3

then you do a magical re-ordering:

6 x 3 ÷ 2

now you can do either the multiplication first or the division first and everybody is happy!

03.06.2011, 12:57

Re: 6÷2(1+2) equals what exactly

Quote:

just forget about the PEMDAS or BODMAS rules,

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....

03.06.2011, 12:57

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Re: 6÷2(1+2) equals what exactly

Mathematics are far from my strongest point, but I don't get how two answers which are so different can both be correct.
The way I was taught back in the dark ages of 1970s America was to do what's in brackets first, then go back to the left and start with the equation.
I also was taught that math was right or wrong, no grey areas possible. Yet this is a grey area. All of this is making my brain smolder.

03.06.2011, 12:57

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Re: 6÷2(1+2) equals what exactly

Why is this still being discussed and why are people still arguing?

The answer is 9! . There is no other right way, the answer is not also 1. Though I am impressed that some one came up with 4 'proofs' that the answer is 1

03.06.2011, 12:58

Re: 6÷2(1+2) equals what exactly

Quote:

It proves both.

VIDEO

03.06.2011, 12:58

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Re: 6÷2(1+2) equals what exactly

5 pages and counting........

*unsubscribes from thread*

03.06.2011, 12:59

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Re: 6÷2(1+2) equals what exactly

I think I see where you are going wrong...

Quote:

1st WAY:
just forget about the PEMDAS or BODMAS rules,
2nd Way:
lets assume...
3rd way:
lets assume...

(and it isn't about the missing apostrophe...)

03.06.2011, 12:59

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Re: 6÷2(1+2) equals what exactly

Quote:

Mathematics are far from my strongest point, but I don't get how two answers which are so different can both be correct.
The way I was taught back in the dark ages of 1970s America was to do what's in brackets first, then go back to the left and start with the equation.
I also was taught that math was right or wrong, no grey areas possible. Yet this is a grey area. All of this is making my brain smolder.

Exactly, there are two ways of reading/ordering, both are correct, both will yield different answers. Simply because there are two different meanings.

The only people that are correct, are those advocating two answers as permissible. The others are just stubborn

03.06.2011, 13:00

Re: 6÷2(1+2) equals what exactly

Quote:

It proves both. 1st WAY:
just forget about the PEMDAS or BODMAS rules,
lets come back to the origin of mathematics which is solving human's problem:
assumption: Have 6 apples, with 2 classes where combination of 2 boys & 1 girl.
So, each of them get how many apple(s)?!
thus, 2 classes , 2 boys & 1 gals = 3 students + 3 Students = total 6 students
Now, only have 6 apples
6 apples for 6 students.
Therefore, 1 student only have 1 apple = 1 (answer) 2nd Way:
6÷2(1+2)
lets assume y =2 so that , 6÷y(1+y) = 6 ÷ (y+y^2)
now replace 2 into y it shows 6 ÷ ( 2 + 2^2) = 6 ÷ (2 + 4)
= 6 ÷ 6
= 1 (answer) 3rd way:
6÷2(1+2)
lets assume (1+2) = a so that, 6÷2a
now = 6/(2a) 2a is slightly different with 2 x a ; please dun tell me that is (6/2)x a !!
lets simplify = 3/a
now replace (1+2) into a = 3 (1+3)
= 3/3 = 1 (answer) if you not agree again! fine lets go for the 4th way
4rth Way
6÷2(1+2) from this equation , we would say it has two group , A = 6 ; B = 2(1+2)
lets 6÷2(1+2) = z so that, A/B = z
A = zB
6 = z[2(1+ 2)]
6 = 6z
z = 6/6 = 1 (answer)

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.

03.06.2011, 13:01

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Re: 6÷2(1+2) equals what exactly

Quote:

Exactly, there are two ways of reading/ordering, both are correct, both will yield different answers. Simply because there are two different meanings.
The only people that are correct, are those advocating two answers as permissible. The others are just stubborn

Pardon my absolute ignorance then, but why on earth are there two methods of reading/ordering?!

03.06.2011, 13:02

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Re: 6÷2(1+2) equals what exactly

Quote:

The only people that are correct, are those advocating two answers as permissible. The others are just stubborn

Posted by summerrain's evil twin.

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