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Math: 6÷2(1+2) = ?

 
caper_26

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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


applause2
"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

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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
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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?!!!

[link to vimeo.com (secure)]
 Quoting: Forgotten


This, those are the same thing op.
Anonymous Coward
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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)
AS Addition and Subtraction (left-to-right)

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

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

[link to www.mathsisfun.com]
caper_26

User ID: 32057798
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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

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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.

[link to math.berkeley.edu]

Read that.

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

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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
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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.

[link to math.berkeley.edu]

Read that.

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

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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

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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
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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
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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."
caper_26

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01/21/2013 07:23 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
 Quoting: Anonymous Coward 32715180


No, for laymen, you can write it that way. They are redundant parentheses, for the reason I just stated above.
"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
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01/21/2013 07:25 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
 Quoting: Anonymous Coward 32715180


No, for laymen, you can write it that way. They are redundant parentheses, for the reason I just stated above.
 Quoting: caper_26


Source?
Anonymous Coward
User ID: 32762094
Finland
01/21/2013 07:26 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.

[link to math.berkeley.edu]

Read that.

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


You should read your own links, specifically this part:

it makes no di erence whatsoever in what order the additions or multiplications are carried out.
 Quoting: your own link


6/2(1+2) = 6 x 0.5 x 3 = 9

only a fool argues anything other than 9.
caper_26

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01/21/2013 07:28 PM
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Re: Math: 6÷2(1+2) = ?
It is no proper mathematics to write it that way.
 Quoting: Anonymous Coward 32715180


Wrong. It IS proper. Here is an online algebra question:

{4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ??

I bet you can't solve it correctly


EDITED to fix exponents

Last Edited by caper_26 on 01/21/2013 07:33 PM
"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
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01/21/2013 07:31 PM
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Re: Math: 6÷2(1+2) = ?
You should read your own links, specifically this part:

it makes no di erence whatsoever in what order the additions or multiplications are carried out.
 Quoting: your own link


6/2(1+2) = 6 x 0.5 x 3 = 9

only a fool argues anything other than 9.
 Quoting: Anonymous Coward 32762094


That is really funny. Did you not see that I quoted that exact passage?

Next time you want to re-write it, do it properly:
6 * 2^-1 * (2+1)^-1
Why?
6 ÷ 2n = 6 * (2n)^-1 = 6 * 2^-1 * n^-1; where n = 2+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."
Smith Jefferys

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01/21/2013 07:32 PM
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Re: Math: 6÷2(1+2) = ?
9
Anonymous Coward
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01/21/2013 07:33 PM
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Re: Math: 6÷2(1+2) = ?
It is no proper mathematics to write it that way.
 Quoting: Anonymous Coward 32715180


Wrong. It IS proper. Here is an online algebra question:

{4[2xz&#8308;(2c³v ÷ 2cv²)³ ÷ 2]} ÷ c&#8310;x • v³ = ??

I bet you can't solve it correctly
.
 Quoting: caper_26


Your equation is gibberish.
caper_26

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01/21/2013 07:34 PM
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Re: Math: 6÷2(1+2) = ?
GLP converted some exponents to HTML code. Try this:

{4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ??
"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
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01/21/2013 07:36 PM
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Re: Math: 6÷2(1+2) = ?
You should read your own links, specifically this part:

it makes no di erence whatsoever in what order the additions or multiplications are carried out.
 Quoting: your own link


6/2(1+2) = 6 x 0.5 x 3 = 9

only a fool argues anything other than 9.
 Quoting: Anonymous Coward 32762094


That is really funny. Did you not see that I quoted that exact passage?

Next time you want to re-write it, do it properly:
6 * 2^-1 * (2+1)^-1
Why?
6 ÷ 2n = 6 * (2n)^-1 = 6 * 2^-1 * n^-1; where n = 2+1
 Quoting: caper_26


LMAO. It's a basic math quiz. What's wrong with you?

9 is still the answer.
Anonymous Coward
User ID: 32614604
Australia
01/21/2013 07:36 PM
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Re: Math: 6÷2(1+2) = ?
This is PROOF that infix notation SUCKS!!!

Use REVERSE POLISH NOTATION, and then YOU DON'T NEED PARENTHESES!!!!


"Reverse Polish notation (RPN) is a mathematical notation in which every operator follows all of its operands, in contrast to Polish notation, which puts the operator in the prefix position. It is also known as postfix notation and is parenthesis-free as long as operator arities are fixed."

[link to en.wikipedia.org]

so... who wants to convert the expression to RPN?
Anonymous Coward
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01/21/2013 07:38 PM
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Re: Math: 6÷2(1+2) = ?
GLP converted some exponents to HTML code. Try this:

{4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ??
 Quoting: caper_26


There is only multiplication and exponents in that equation. No addition.

Totally different case study.
caper_26

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01/21/2013 07:38 PM
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Re: Math: 6÷2(1+2) = ?
Source?
 Quoting: Anonymous Coward 32715180


The Identity Law:
a = 1a = (1a)

a ÷ a = 1
a ÷ 1a = 1

therefore a ÷ a = a ÷ 1a = a ÷ (1a) = 1
a/1a = 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
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Germany
01/21/2013 07:39 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
 Quoting: Anonymous Coward 32715180


No, for laymen, you can write it that way. They are redundant parentheses, for the reason I just stated above.
 Quoting: caper_26


Source?
 Quoting: Anonymous Coward 32715180


Still waiting.
caper_26

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01/21/2013 07:39 PM
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Re: Math: 6÷2(1+2) = ?
GLP converted some exponents to HTML code. Try this:

{4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ??
 Quoting: caper_26


There is only multiplication and exponents in that equation. No addition.

Totally different case study.
 Quoting: Anonymous Coward 32715180


Doesnt matter. the addition gets done first anyway. I bet you STILL can't answer it. It should be easier if there is no addition then since there is no ambiguity?
"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
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01/21/2013 07:40 PM
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Re: Math: 6÷2(1+2) = ?
Source?
 Quoting: Anonymous Coward 32715180


The Identity Law:
a = 1a = (1a)

a ÷ a = 1
a ÷ 1a = 1

therefore a ÷ a = a ÷ 1a = a ÷ (1a) = 1
a/1a = a/(1a)
 Quoting: caper_26


We are talking maths here.
caper_26

User ID: 32057798
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01/21/2013 07:43 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
"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

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01/21/2013 07:44 PM
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Re: Math: 6÷2(1+2) = ?
We are talking maths here.
 Quoting: Anonymous Coward 32715180


Thanks for showing up.

applause2
"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
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01/21/2013 07:45 PM
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Re: Math: 6÷2(1+2) = ?
suppose that:

a = 6/2

b = 1+2

would you define the original expression as:

a * b

or

a / b

?

why?





GLP