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# Math: 6÷2(1+2) = ?

DUCM900

User ID: 32721565
Italy
01/21/2013 11:46 AM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Anubis

User ID: 4949345
01/21/2013 11:48 AM

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Re: Math: 6÷2(1+2) = ?
i get 9 but thats just in my head.

6÷2(1+2)
= 6/2(3) <- at this stage the parenthesis represent multiplication, not order of ops
= 3(3)
= 9

Last Edited by Deplorable Anubis on 01/21/2013 11:51 AM
Forgotten

User ID: 29097718
United States
01/21/2013 11:49 AM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

Yes they do. There is no difference on those too.

See the scientific calculator symbols.

I posted a video and did everything you asked me too.

I have proven my part.

Last Edited by Forgotten on 01/21/2013 11:51 AM
DUCM900

User ID: 32721565
Italy
01/21/2013 11:51 AM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

And + real scientific calculators solve equations with x

Stop to use such a toys to do the stuff.

.
Forgotten

User ID: 29097718
United States
01/21/2013 11:52 AM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

And + real scientific calculators solve equations with x

Stop to use such a toys to do the stuff.

.
Quoting: DUCM900

I have shown scientific calculator doing the problem and many other websites and programs doing the problem.

All getting 9.

Have you shown anything showing an answer of 1?

Everyone of these websites I typed the equation EXACTLY as the OP had it. Using ÷ not /,x or adding anything after the first 2.

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9

Last Edited by Forgotten on 01/21/2013 11:55 AM
DUCM900

User ID: 32721565
Italy
01/21/2013 11:58 AM
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Re: Math: 6÷2(1+2) = ?
Again?

:jckwsy:
Forgotten

User ID: 29097718
United States
01/21/2013 12:01 PM
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Re: Math: 6÷2(1+2) = ?
No rebuttal? No more arguments? Just pictures.

Why are all these tools giving the wrong answer?

Occams Razor. Is it more likely every single thing used comes up with 9 and is wrong?

Or more likely the answer is 9, and these tools/programs are correct. And that human error is leading to the answer of 1?

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9

Last Edited by Forgotten on 01/21/2013 12:03 PM
DUCM900

User ID: 32721565
Italy
01/21/2013 12:05 PM
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Re: Math: 6÷2(1+2) = ?
So who is the tard here? TELL ME

.
Forgotten

User ID: 29097718
United States
01/21/2013 12:06 PM
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Re: Math: 6÷2(1+2) = ?
So who is the tard here? TELL ME

.
Quoting: DUCM900

Witty, concise, and well spoken. I would say we both are, as much time as we are spending on this.

=)
Anonymous Coward
User ID: 32715180
Germany
01/21/2013 12:06 PM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

What's the difference?
Forgotten

User ID: 29097718
United States
01/21/2013 12:07 PM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

What's the difference?
Quoting: Anonymous Coward 32715180

There isnt one.

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9

Last Edited by Forgotten on 01/21/2013 12:10 PM
Anonymous Coward
User ID: 32715180
Germany
01/21/2013 12:17 PM
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Re: Math: 6÷2(1+2) = ?
Are you serious? Scientific calculators knows the difference between a typed n*(x) and n(x)

.
Quoting: DUCM900

What's the difference?
Quoting: Anonymous Coward 32715180

There isnt one.

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9
Quoting: Forgotten

According to my calculator there is. According to the rules of math, there is not. I go with the rules of math.
Ice

User ID: 24661192
United States
01/21/2013 02:30 PM

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Re: Math: 6÷2(1+2) = ?
6÷2(1+2) = 1

6/2(1+2) = 9

End.
Quoting: Syrius

Not correct:

6÷2(1+2) = 1

6/2(1+2) = 1

6/2*(1+2) = 9

6÷2*(1+2) = 9

.
Quoting: DUCM900

A given

#(

Number to left

Multiply

1 + 3(3-2) = ?

1 + 3 (1) = ?

4 • 1 = 4
Yahshua said you must BE born again not that you must DO something
Ice

User ID: 24512433
United States
01/21/2013 02:39 PM

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Re: Math: 6÷2(1+2) = ?
Multiplication

3 ways

9 * =

9 x =

9(x)=
Yahshua said you must BE born again not that you must DO something
Anubis

User ID: 4949345
01/21/2013 02:42 PM

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Re: Math: 6÷2(1+2) = ?
133 pages for a simple equation.
its still 9. i cant see how anyone can argue that.
Forgotten

User ID: 29097718
United States
01/21/2013 06:03 PM
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Re: Math: 6÷2(1+2) = ?
Multiplication

3 ways

9 * =

9 x =

9(x)=
Quoting: Ice

Yep.

Video Below on Scientific calculator.

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9
Anonymous Coward
User ID: 31557420
United States
01/21/2013 06:17 PM
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Re: Math: 6÷2(1+2) = ?
133 pages for a simple equation.
its still 9. i cant see how anyone can argue that.
Quoting: Anubis

I used to think like you. The answer is 1. Caper_26 can explain it well. I hope he just starts a thread and gives the several proofs.

The main issue here, is that working from left to right is not part of the order of operations. Problems do not have to be worked left to right, because it shouldn't matter.

And given that the obelus is really a grouping symbol, creating a dividend and a divisor. You always work a dividend and a divisor separately. And you can prove that with the identity property a/1a=1
Anonymous Coward
User ID: 31557420
United States
01/21/2013 06:21 PM
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Re: Math: 6÷2(1+2) = ?
Dear Forgotten,

Please stop posting the exact same reply over and over and over.

We get it, you believe everything you find on the internet.

Thank you
Quoting: Syrius

LOL, can you tell everyone else to stop posting the same thing too?

Surely the OP doesnt believe the answer is 9. What say you OP?>

9 or 1?
Quoting: Forgotten

6÷2(1+2) = 1

6/2(1+2) = 9

End.
Quoting: Syrius

They both equal 1. From what I have learned researching this, the obelus and slash are equivalent.
caper_26

User ID: 32057798
01/21/2013 06:30 PM
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Re: Math: 6÷2(1+2) = ?
Dear Forgotten,

Please stop posting the exact same reply over and over and over.

We get it, you believe everything you find on the internet.

Thank you
Quoting: Syrius

"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."
Anubis

User ID: 4949345
01/21/2013 06:32 PM

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Re: Math: 6÷2(1+2) = ?
Dear Forgotten,

Please stop posting the exact same reply over and over and over.

We get it, you believe everything you find on the internet.

Thank you
Quoting: Syrius

LOL, can you tell everyone else to stop posting the same thing too?

Surely the OP doesnt believe the answer is 9. What say you OP?>

9 or 1?
Quoting: Forgotten

6÷2(1+2) = 1

6/2(1+2) = 9

End.
Quoting: Syrius

They both equal 1. From what I have learned researching this, the obelus and slash are equivalent.
Quoting: Anonymous Coward 31557420

i still get 9

6÷2(1+2)
= 6/2(3) <- at this stage the parenthesis represent multiplication, not order of ops
= 3(3)
= 9

tell me what you think im doing wrong?
Anonymous Coward
User ID: 32547856
United States
01/21/2013 06:34 PM
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Re: Math: 6÷2(1+2) = ?
Dear Forgotten,

Please stop posting the exact same reply over and over and over.

We get it, you believe everything you find on the internet.

Thank you
Quoting: Syrius

LOL, can you tell everyone else to stop posting the same thing too?

Surely the OP doesnt believe the answer is 9. What say you OP?>

9 or 1?
Quoting: Forgotten

6÷2(1+2) = 1

6/2(1+2) = 9

End.
Quoting: Syrius

Those are the same thing. 6/2 = 6÷2

Cant believe the original poster didnt even know the answer to his own question. WTF?!!!

Quoting: Forgotten

This, those are the same thing op.
Anonymous Coward
User ID: 32614604
Australia
01/21/2013 06:38 PM
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Re: Math: 6÷2(1+2) = ?
The main issue here, is that working from left to right is not part of the order of operations. Problems do not have to be worked left to right, because it shouldn't matter.
Quoting: Anonymous Coward 31557420

Going left to right is part of the order of operations.

P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)

Divide and Multiply rank equally (and go left to right).

Add and Subtract rank equally (and go left to right)

caper_26

User ID: 32057798
01/21/2013 06:42 PM
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Re: Math: 6÷2(1+2) = ?
You do multiplication and division left to right:
6 divided by the quantity 2n
6 ÷ 2n , where n = 2+1
6 ÷ 2n = 3/n; n = 2+1
3/n = 3/(2+1) = 1

OR:

6 ÷ 2(2+1) = 6 ÷ (2(2)+2(1)) = 6 ÷(4+2) = 1

6 ÷ 2(2+1) = 1
6 ÷ (2+1)2 = 1

(6 ÷ 2)(2+1) = [(6÷2)(2) + (6÷2)1)] = [6 + 3] = 9
6(2+1) ÷ 2 = 9

WHY ???
Derive the equations showing all steps. Do not introduce unnecessary ( ) or *
6 ÷ 6 = 1
6 ÷ (4+2) = 1; Factor out the GCF (Greatest common factor of 2)
6 ÷ 2(2+1) = 1

Now for 9:
3 * 3 = 9
3 * (2+1) = 9
6/2 * (2+1) = 9

OR:
6 + 3 = 9
(6/2)2 + (6/2)1 = 9
(6/2)(2+1) = 9

Fractions as coefficients that use '/' , such as (6/2)n, must use parentheses. Otherwise, it is 6/2n which is 6/(2n).
"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."
caper_26

User ID: 32057798
01/21/2013 06:47 PM
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Re: Math: 6÷2(1+2) = ?
Going left to right is part of the order of operations.
Quoting: Anonymous Coward 32614604

Technically no, but it gives young students a sense of order. Adding and multiplying is associative, so it doesn't matter what order you them in. Subtracting and division are the same as adding and multiplying. It is knowing things like this, as well as other details of maths, that allow you to see that this equation is solved as 1.

It is important to note that this stipulation about \from left to right"is entirely extraneous, because the associative laws of addition and multiplication ensure that it makes no di erence whatsoever in what order the additions or multiplications are carried out.
Quoting: Brekeley.edu

"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."
caper_26

User ID: 32057798
01/21/2013 06:48 PM
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Re: Math: 6÷2(1+2) = ?
There isnt one.

6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9
Quoting: Forgotten

BZZZZZZZZZZZZZZZZZ ! WRONG! That is why you get 9. There IS a difference.

Solve a ÷ 1a
"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."
Anonymous Coward
User ID: 32614604
Australia
01/21/2013 07:00 PM
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Re: Math: 6÷2(1+2) = ?
Going left to right is part of the order of operations.
Quoting: Anonymous Coward 32614604

Technically no, but it gives young students a sense of order. Adding and multiplying is associative, so it doesn't matter what order you them in. Subtracting and division are the same as adding and multiplying. It is knowing things like this, as well as other details of maths, that allow you to see that this equation is solved as 1.

It is important to note that this stipulation about \from left to right"is entirely extraneous, because the associative laws of addition and multiplication ensure that it makes no di erence whatsoever in what order the additions or multiplications are carried out.
Quoting: Brekeley.edu

Quoting: caper_26

if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"?
DUCM900

User ID: 32755121
Italy
01/21/2013 07:04 PM
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Re: Math: 6÷2(1+2) = ?
if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"?
Quoting: Anonymous Coward 32614604

Maybe they just use google and wikipedia? I know, thats the new generation... >>>>> [link to www.godlikeproductions.com]

.

Last Edited by IWASTHERE on 01/21/2013 07:07 PM
caper_26

User ID: 32057798
01/21/2013 07:19 PM
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Re: Math: 6÷2(1+2) = ?
A pair, is 2. A pair of anything, is 2 of them. Yes, it can be evaluated as 2 * x, but the value must remain so the meaning is different.
Situation: You have apples to divide among people. You have 6 apples. A family (f) is 2 adults and 1 child, so f = 2+1

6 apples divided by a pair of families (where there are 3 in a family). f is a family of 3, so f = 3
6 ÷ 2f = 6 ÷ 2(3) = 1
6 ÷ 2(2+1) = 1
"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."
Anonymous Coward
User ID: 32715180
Germany
01/21/2013 07:22 PM
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Re: Math: 6÷2(1+2) = ?
6 ÷ 2(2+1) = 1
Quoting: caper_26

It is no proper mathematics to write it that way.

This would be the right way:

6 ÷ (2(2+1)) = 1
caper_26

User ID: 32057798
01/21/2013 07:23 PM
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Re: Math: 6÷2(1+2) = ?
if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"?
Quoting: Anonymous Coward 32614604

It isn't the order of operations that is the problem. It is people not realizing that (2+1) is in the denominator.
6 ÷ 2(2+1) is

6
2(2+1)

for the reason: a ÷ 1a = 1 = a/1a = a/(1a)

they are redundant ( ) so they can be left out, since we don't want to clutter maths with unnecessary ( )
"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it."