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# Math: 6÷2(1+2) = ?

Anonymous Coward
User ID: 32057798
01/13/2013 04:33 PM
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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.
Anonymous Coward
User ID: 32057798
01/13/2013 04:34 PM
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Re: Math: 6÷2(1+2) = ?
I challenge anyone who thinks 9, to solve this:
First, the Identity Law says:
a = 1a = 1(a). That is just a reminder.
Here is my question:

1/1a = ??
davvi
Future Dodo bird...

User ID: 3677166
United States
01/13/2013 04:35 PM

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Re: Math: 6÷2(1+2) = ?
PEMDAS, people PEMDAS. the answer is 9

lol
Quoting: davvi

man that is funny right there...
Quoting: Anonymous Coward 32057798

Quoting: davvi

That video is so goddamn wrong it is a sin. He says parentheses and then ignores them... and to make a public video to show how fucking retarded you are.... the irony is almost too much to bear..
Quoting: Anonymous Coward 32057798

it is 9. he did not ignore the parens...

Anonymous Coward
User ID: 31519086
Australia
01/13/2013 04:39 PM
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Re: Math: 6÷2(1+2) = ?
That video is so goddamn wrong it is a sin. He says parentheses and then ignores them... and to make a public video to show how fucking retarded you are.... the irony is almost too much to bear..
Quoting: Anonymous Coward 32057798

Yeah!! He said "you've all seen this problem on facebook", WELL NO I HAVEN"T!!!!!

the maths is okay but
Anonymous Coward
User ID: 32057798
01/13/2013 04:40 PM
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Re: Math: 6÷2(1+2) = ?
"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:

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.

"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
Quoting: Anonymous Coward 32057798
Anonymous Coward
User ID: 32057798
01/13/2013 04:42 PM
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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
01/13/2013 04:42 PM
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Re: Math: 6÷2(1+2) = ?
Quoting: davvi

That reflects your IQ rather well

.
Anonymous Coward
User ID: 1582540
United States
01/13/2013 04:42 PM
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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)

Anonymous Coward
User ID: 27256518
United States
01/13/2013 04:46 PM
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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
01/13/2013 05:13 PM
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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? :

Anonymous Coward
User ID: 19023838
United States
01/13/2013 07:13 PM
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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
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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
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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
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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
01/13/2013 09:03 PM
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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
01/13/2013 09:04 PM
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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
01/13/2013 09:04 PM
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Re: Math: 6÷2(1+2) = ?
What is a/1a ?
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 09:23 PM
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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
United States
01/13/2013 09:30 PM
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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

Anonymous Coward
User ID: 32057798
01/13/2013 09:38 PM
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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
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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
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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
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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
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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
01/13/2013 10:19 PM
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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
01/13/2013 10:20 PM
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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
01/13/2013 10:20 PM
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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
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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
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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
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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?