Godlike Productions - Discussion Forum
Users Online Now: 1,071 (Who's On?)Visitors Today: 59,753
Pageviews Today: 98,830Threads Today: 53Posts Today: 771
01:31 AM


Rate this Thread

Absolute BS Crap Reasonable Nice Amazing
 

Math: 6÷2(1+2) = ?

 
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 04:40 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
[link to en.wikibooks.org]
"We use the distributive property to help us find a way around the order of operations while still being sure that we keep the value of the expression."

Distribute to REMOVE parentheses [link to www.algebra.com]

Get Rid of parentheses with Distribution:
[link to www.helpalgebra.com]

If there is some factor multiplying the parentheses, then the only way to get rid of the parentheses is to multiply using the distributive law.
[link to www.jamesbrennan.org]

"When simplifying expressions with parentheses, you will be applying the Distributive Property." [link to www.purplemath.com]

The Distributive Property in ALgebra:
The Distributive Property is handy to help you get rid of parentheses.
a(b + c) = ab + ac
[link to math.about.com]
 Quoting: Anonymous Coward 32057798
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 04:42 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
it is 9. he did not ignore the parens...

 Quoting: davvi


Yeah he did. He didn't eliminate them. He solved it like an elementary school kid...
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 04:42 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
:havea: canucklehead.
 Quoting: davvi


That reflects your IQ rather well

.
Anonymous Coward
User ID: 1582540
United States
01/13/2013 04:42 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
This is how you are supposed to do it, with an explanation of WHY...

Distribute 2 into the parentheses. Why? because it is a factor of the original terms INSIDE them, and cannot be ripped apart. I will show you why:
6 = 4+2 = 2(2+1) = 2(3) The 2 is a common factor of 4 & 2.
No matter which way you view it, the value 6 MUST maintain its value. Just as you cannot take the 4 from (4+2) and divide it into a number with the "+ 2". I cannot take the 2 from 2(2+1) and divide it into another number without the (2+1).
You ARE allowed to distribute before division, or any other operator, since you are allowed to simplify any equation first. There are MANY references which state "Remove parentheses by distribution" Try Googling that as a search term.
6÷2(2+1) = 6÷(4+2) = 1
Now, some people have argued that you don't NEED to distribute the 2; you just add the 2+1, and end up with 2(3). Then they go on the say that this is the same as 2*(3). WRONG! You STILL have parentheses and STILL need to distribute that 2 inside them, for the reasons discussed about factoring above. Therefore you have this:
6÷2(3) and must distribute like this:
6÷2(3+0) = 6÷[2(3) + 2(0)] = 6÷6 = 1
These people who get 9 try and rip the 2 away from the parentheses by inserting a times symbol like this:
6÷2*(3), and then do the division of 6÷2 first. I explained the illegalities of doing this, since the 2 is a factor of the 2+1.
Lastly, 6÷2 is NOT (6/2), as in (6/2)(2+1). This is totally incorrect, since it lacks that parentheses in the original equation. Check any online or written text. Leading fractions as a coefficient ALWAYS have ( ) around them.
 Quoting: Anonymous Coward 32057798


Sweet...

6
------- = 1
2*(1+2)


banana2
Anonymous Coward
User ID: 27256518
United States
01/13/2013 04:46 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
consider the division symbol 0/0

We are dealing with a fraction

Something
_________

Something



6/2(3)

6
________

2(3)




6
________

6


6/6

1



The solution to this problem is within the symbol. Is the symbol.

Something
_________

Something

=1




Without a shadow of a doubt, the answer is 1. There is no way around it.
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 05:13 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
consider the division symbol 0/0

We are dealing with a fraction

Something
_________

Something



6/2(3)

6
________

2(3)




6
________

6


6/6

1



The solution to this problem is within the symbol. Is the symbol.

Something
_________

Something

=1




Without a shadow of a doubt, the answer is 1. There is no way around it.
 Quoting: Anonymous Coward 27256518


You mean like this? :

[link to www.freeimagehosting.net]
Anonymous Coward
User ID: 19023838
United States
01/13/2013 07:13 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
I have to give it to the people who didn't put 1. You argued so well but the distribution property is something that I agree with...that's how I got 1.

What level of math did u, brainiacs, take?

I took linear algebra, which is systems of equations.
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 07:17 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
I have to give it to the people who didn't put 1. You argued so well but the distribution property is something that I agree with...that's how I got 1.
 Quoting: Anonymous Coward 19023838


what is 6 ÷ 2 * 3?
Anonymous Coward
User ID: 19023838
United States
01/13/2013 07:24 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
You don't have any parentheses...therefore, the answer is 9. But, that's not the original question.
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 07:28 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
You don't have any parentheses...therefore, the answer is 9. But, that's not the original question.
 Quoting: Anonymous Coward 19023838


what is 6 ÷ 2 * (3)?
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 09:03 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
What level of math did u, brainiacs, take?

I took linear algebra, which is systems of equations.
 Quoting: Anonymous Coward 19023838


Engineering.
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 09:04 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
You don't have any parentheses...therefore, the answer is 9. But, that's not the original question.
 Quoting: Anonymous Coward 19023838


what is 6 ÷ 2 * (3)?
 Quoting: Anonymous Coward 31519086


That would be 9
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 09:04 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
What is a/1a ?
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 09:23 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
clapon

User ID: 32150039
Switzerland
01/13/2013 09:30 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
Eleventeen?
 Quoting: Anonymous Coward 1284566


george seriously
funny thing happened the other day...

disclaimer. all statements are to be construed as questions.end

oh yeah ... your fired...end
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 09:38 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property. Therefore, the parentheses are not required and the initial equation is written 6 ÷ 2(2+1).
Leading fractions absolutely require parentheses as in the example (1/2)n below.

Also proven with common notation, ie,:
1/2n = 1/(2n)
0.5n = (1/2)n or simply n/2
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 09:43 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property.
 Quoting: Anonymous Coward 32057798


(6 ÷ 2) * (1+2) uses the Distributive Property as well.
Only One
User ID: 32069745
United States
01/13/2013 09:44 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
Okay - the division symbol could be a fraction bar - but it is not in this case. The fraction bar acts like a set of parenthesis.....so, if the division here is like the fraction bar, then you should have used an set of parenthesis - but you did not. This defaults to PEMDAS and the answer is 9.
Only One
User ID: 32069745
United States
01/13/2013 09:45 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
Okay - the division symbol could be a fraction bar - but it is not in this case. The fraction bar acts like a set of parenthesis.....so, if the division here is like the fraction bar, then you should have used a set of parenthesis - but you did not. This defaults to PEMDAS and the answer is 9.
Anonymous Coward
User ID: 32137123
United States
01/13/2013 09:49 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 10:19 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property.
 Quoting: Anonymous Coward 32057798


(6 ÷ 2) * (1+2) uses the Distributive Property as well.
 Quoting: Anonymous Coward 31519086


Sure does, only if the original equation had parentheses around the (6÷2) then you would be all set.
FAIL.
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 10:20 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.
 Quoting: Anonymous Coward 32137123


that is why you get 9. You only know basic math.
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 10:20 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.
 Quoting: Anonymous Coward 32137123


that is why you get 9. You only know basic math.
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 10:21 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property.
 Quoting: Anonymous Coward 32057798


(6 ÷ 2) * (1+2) uses the Distributive Property as well.
 Quoting: Anonymous Coward 31519086


Sure does, only if the original equation had parentheses around the (6÷2) then you would be all set.
FAIL.
 Quoting: Anonymous Coward 32057798


so the only reason you do the multiplication before the division is because the 6÷2 doesn't have parentheses around it?
Anonymous Coward
User ID: 32137123
United States
01/13/2013 10:22 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.
 Quoting: Anonymous Coward 32137123


that is why you get 9. You only know basic math.
 Quoting: Anonymous Coward 32057798


So what is your take on it? You can't just create new rules. 1+1 is 2 which is also basic math.
Anonymous Coward
User ID: 32137123
United States
01/13/2013 10:28 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.
 Quoting: Anonymous Coward 32137123


that is why you get 9. You only know basic math.
 Quoting: Anonymous Coward 32057798


So what is your take on it? You can't just create new rules. 1+1 is 2 which is also basic math.
 Quoting: Anonymous Coward 32137123


Well, I'm waiting. What is the advanced, magical math that solves the equation?
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 10:32 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property.
 Quoting: Anonymous Coward 32057798


(6 ÷ 2) * (1+2) uses the Distributive Property as well.
 Quoting: Anonymous Coward 31519086


Distribution is the reverse of factoring. When the fuck did you ever see 6÷2 factored from a number??
Anonymous Coward
User ID: 32057798
Canada
01/13/2013 10:33 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
Well, I'm waiting. What is the advanced, magical math that solves the equation?
 Quoting: Anonymous Coward 32137123


Simple property. Google "Eliminating Parentheses by distributive Property"
Anonymous Coward
User ID: 27256518
United States
01/13/2013 10:36 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
consider the division symbol 0/0

We are dealing with a fraction

Something
_________

Something



6/2(3)

6
________

2(3)




6
________

6


6/6

1



The solution to this problem is within the symbol. Is the symbol.

Something
_________

Something

=1




Without a shadow of a doubt, the answer is 1. There is no way around it.
 Quoting: Anonymous Coward 27256518


You mean like this? :

[link to www.freeimagehosting.net]
 Quoting: Anonymous Coward 32057798


Totally

The answer is 1.

Its unreal how surely the 9 folks believe they are correct.
Telling indeed.
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 10:36 PM
Report Abusive Post
Report Copyright Violation
Re: Math: 6÷2(1+2) = ?
what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????
 Quoting: Anonymous Coward 31519086


It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property.
 Quoting: Anonymous Coward 32057798


(6 ÷ 2) * (1+2) uses the Distributive Property as well.
 Quoting: Anonymous Coward 31519086


Distribution is the reverse of factoring. When the fuck did you ever see 6÷2 factored from a number??
 Quoting: Anonymous Coward 32057798

errr what? didn't you previously reply "Sure does, only if the original equation had parentheses around the (6÷2) then you would be all set."

did you change your mind? does (6 ÷ 2) * (1+2) use the Distributive Property or not?





GLP