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Math: 6÷2(1+2) = ?

 
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

User ID: 32057798
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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

User ID: 15628045
United Kingdom
01/21/2013 07:32 PM

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Re: Math: 6÷2(1+2) = ?
9
Anonymous Coward
User ID: 32715180
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[2xz⁴(2c³v ÷ 2cv²)³ ÷ 2]} ÷ c⁶x • v³ = ??

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


Your equation is gibberish.
caper_26

User ID: 32057798
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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
User ID: 32762094
Finland
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
User ID: 32715180
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

User ID: 32057798
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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
User ID: 32715180
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

User ID: 32057798
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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
User ID: 32715180
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

User ID: 32057798
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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
User ID: 32614604
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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?
Anonymous Coward
User ID: 32762094
Finland
01/21/2013 07:47 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
 Quoting: caper_26


Don't try something so hard for you, when can't even get the first one right. Come back to those when you are little older.
caper_26

User ID: 32057798
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01/21/2013 07:47 PM
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Re: Math: 6÷2(1+2) = ?
ng with you?

9 is still the answer.
 Quoting: Anonymous Coward 32762094


An you still get an F. Easy.
"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
01/21/2013 07:47 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
 Quoting: caper_26


Where is your source, that you don't need parantheses. Still waiting?
caper_26

User ID: 32057798
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01/21/2013 07:49 PM
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Re: Math: 6÷2(1+2) = ?
So easy an equation that none of you will embarrass yourselves by answering it.
"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 07:50 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
 Quoting: caper_26


Where is your source, that you don't need parantheses. Still waiting?
 Quoting: Anonymous Coward 32715180


I gave you the source: Identity Law:

Solve a ÷ 1a ? or 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."
caper_26

User ID: 32057798
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01/21/2013 07:52 PM
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Re: Math: 6÷2(1+2) = ?
And here is an algebra lesson that you so desperately need.

[link to cstl.syr.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."
Anonymous Coward
User ID: 32715180
01/21/2013 07:52 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
 Quoting: caper_26


Where is your source, that you don't need parantheses. Still waiting?
 Quoting: Anonymous Coward 32715180


I gave you the source: Identity Law:

Solve a ÷ 1a ? or a / 1a = ?
 Quoting: caper_26


So you're argung that 2(1+2) is equal to (2x(1+2)) because of the identity law?
Anonymous Coward
User ID: 32762094
Finland
01/21/2013 07:54 PM
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Re: Math: 6÷2(1+2) = ?
ng with you?

9 is still the answer.
 Quoting: Anonymous Coward 32762094


An you still get an F. Easy.
 Quoting: caper_26


You can't dispute that 9 is the answer, because it is.
caper_26

User ID: 32057798
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01/21/2013 07:55 PM
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Re: Math: 6÷2(1+2) = ?
Here is one with addition:

12x² y ÷ 4x + (6x – x)²
 Quoting: caper_26


Where is your source, that you don't need parantheses. Still waiting?
 Quoting: Anonymous Coward 32715180


I gave you the source: Identity Law:

Solve a ÷ 1a ? or a / 1a = ?
 Quoting: caper_26


So you're argung that 2(1+2) is equal to (2x(1+2)) because of the identity law?
 Quoting: Anonymous Coward 32715180


Identity Law proves a ÷ 1a = 1. This means a ÷ (1a) = 1, and not a squared
a ÷ 2a = 1/2
6 ÷ 2a = 3/a. Let a = (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."
Anonymous Coward
User ID: 32715180
01/21/2013 07:57 PM
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Re: Math: 6÷2(1+2) = ?
...


Where is your source, that you don't need parantheses. Still waiting?
 Quoting: Anonymous Coward 32715180


I gave you the source: Identity Law:

Solve a ÷ 1a ? or a / 1a = ?
 Quoting: caper_26


So you're argung that 2(1+2) is equal to (2x(1+2)) because of the identity law?
 Quoting: Anonymous Coward 32715180


Identity Law proves a ÷ 1a = 1. This means a ÷ (1a) = 1, and not a squared
a ÷ 2a = 1/2
6 ÷ 2a = 3/a. Let a = (2+1)
 Quoting: caper_26


The logic is not hard to understand, but I have never seen it written that way. It is not proper written math imo.
caper_26

User ID: 32057798
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01/21/2013 07:58 PM
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Re: Math: 6÷2(1+2) = ?
I see the idiots are out tonight. "it is 9, because it is". You are a retarded troll... troll on.
Here is what you DON'T know:
(6/2) must be in parentheses to multiply something also in ( ).
6 ÷ 2n = 3/n
(6/2) must be in ( ) to distribute. In this equation, is is not, so we distribute the 2.

Here is your lesson, once again. Go learn, or remain ignorant: [link to cstl.syr.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."

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