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# Math: 6÷2(1+2) = ?

Anonymous Coward
User ID: 32057798
01/13/2013 10:32 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

Distribution is the reverse of factoring. When the fuck did you ever see 6÷2 factored from a number??
Anonymous Coward
User ID: 32057798
01/13/2013 10:33 PM
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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
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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? :

Quoting: Anonymous Coward 32057798

Totally

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
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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

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?
Anonymous Coward
User ID: 27256518
United States
01/13/2013 10:38 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.
Quoting: Only One 32069745

Back woods Patois
Anonymous Coward
User ID: 32137123
United States
01/13/2013 10:41 PM
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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"
Quoting: Anonymous Coward 32057798

So if I do it that way...

6÷2(1+2)

6 / 2 (3)

6 / 6

= 1

I think the real answer is a formula written in a shitty way when it causes a confusion resulting in more than 1 answer.
huh
User ID: 31653585
Chile
01/13/2013 10:47 PM
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Re: Math: 6÷2(1+2) = ?
7.5?
Anonymous Coward
User ID: 31519086
Australia
01/13/2013 10:50 PM
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Re: Math: 6÷2(1+2) = ?
5 plus-or-minus 4?

GO AHEAD AND TRY TO SAY THAT iS WRONG!!! I DARE YOU!!!1
sTTsTTT

User ID: 4852102
United States
01/13/2013 10:51 PM

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Re: Math: 6÷2(1+2) = ?
Six
Divided by
Two times One plus Two

One plus Two equals Three
Two times Three equals Six

Six divided by Six equals One

I only learned through basic Arithmetic in HomeEc. So, please be patient while I slice the Pi...or Pie...or...Heck y'all want it a la mode?
Apocalypse: All shall be revealed. And all shall be revealed.
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All Human Beings are Human. Not all Humans are Human Beings.
*******
Anonymous Coward
User ID: 32057798
01/13/2013 10:51 PM
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Re: Math: 6÷2(1+2) = ?
Totally

Its unreal how surely the 9 folks believe they are correct.
Telling indeed.
Quoting: Anonymous Coward 27256518

Well, that is the way of the internet these days. Everyone is right, but only because they say it, not because they proved anything, or said anything intellectual backed up by accepted practices.
Anonymous Coward
User ID: 32137123
United States
01/13/2013 10:52 PM
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Re: Math: 6÷2(1+2) = ?
5 plus-or-minus 4?

GO AHEAD AND TRY TO SAY THAT iS WRONG!!! I DARE YOU!!!1
Quoting: Anonymous Coward 31519086

5 + 4 = 9
5 - 4 = 1

hehe :P
Anonymous Coward
User ID: 32057798
01/13/2013 10:53 PM
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Re: Math: 6÷2(1+2) = ?
So if I do it that way...

6÷2(1+2)

6 / 2 (3)

6 / 6

= 1

I think the real answer is a formula written in a shitty way when it causes a confusion resulting in more than 1 answer.
Quoting: Anonymous Coward 32137123

Yes, that is right. You did it as per all the math references out there. You are 1 out of 1000 that actually learned something.
Anonymous Coward
User ID: 32057798
01/13/2013 10:55 PM
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Re: Math: 6÷2(1+2) = ?
What is 6 divided by 2 groups of 2+1 ?
Anonymous Coward
User ID: 32137123
United States
01/13/2013 10:55 PM
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Re: Math: 6÷2(1+2) = ?

Totally

Its unreal how surely the 9 folks believe they are correct.
Telling indeed.
Quoting: Anonymous Coward 27256518

The 9 folks like me believe they are correct because they were taught that when there is a number before parenthesis it means to multiply.

In the real world people don't do that. When they want you to multiply they write out the times symbol.

I don't know what they taught you in Canada or Australia, but in America you do the math in parenthesis first, then the rest following order of operations.
WD

User ID: 12904180
United States
01/13/2013 10:56 PM
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Re: Math: 6÷2(1+2) = ?
9

Order of Operations

It seems that each student interpreted the problem differently, resulting in two different answers. Student 1 performed the operation of addition first, then multiplication; whereas student 2 performed multiplication first, then addition. When performing arithmetic operations there can be only one correct answer. We need a set of rules in order to avoid this kind of confusion. Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation.

Rule 1: First perform any calculations inside parentheses.
Rule 2: Next perform all multiplications and divisions, working from left to right.
Rule 3: Lastly, perform all additions and subtractions, working from left to right
.

The above problem was solved correctly by Student 2 since she followed Rules 2 and 3. Let's look at some examples of solving arithmetic expressions using these rules.

-------------------------------------------------------------​-------------------
Anonymous Coward
User ID: 31756875
United States
01/13/2013 10:56 PM
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Re: Math: 6÷2(1+2) = ?
6/2 =3

1+2=3

3x3=9
Quoting: acid

This is what I get. The parentheses make that operation separate from the other.
WD

User ID: 12904180
United States
01/13/2013 10:57 PM
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Re: Math: 6÷2(1+2) = ?

Totally

Its unreal how surely the 9 folks believe they are correct.
Telling indeed.
Quoting: Anonymous Coward 27256518

The 9 folks like me believe they are correct because they were taught that when there is a number before parenthesis it means to multiply.

In the real world people don't do that. When they want you to multiply they write out the times symbol.

I don't know what they taught you in Canada or Australia, but in America you do the math in parenthesis first, then the rest following order of operations.
Quoting: Anonymous Coward 32057798

Anonymous Coward
User ID: 20566260
United States
01/13/2013 10:59 PM
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Re: Math: 6÷2(1+2) = ?
Why is this thread still around lol

Dear Aunt Sally isnt hard to follow

6/2(1+2)
6/2*3
3*3 = 9

Done.

:stewart1:
Anonymous Coward
User ID: 31335546
Australia
01/14/2013 03:49 AM
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Re: Math: 6÷2(1+2) = ?

Totally

Its unreal how surely the 9 folks believe they are correct.
Telling indeed.
Quoting: Anonymous Coward 27256518

The 9 folks like me believe they are correct because they were taught that when there is a number before parenthesis it means to multiply.

In the real world people don't do that. When they want you to multiply they write out the times symbol.

I don't know what they taught you in Canada or Australia, but in America you do the math in parenthesis first, then the rest following order of operations.
Quoting: Anonymous Coward 32057798

15 ÷ 3 × 4 is not 15 ÷ 12
Anonymous Coward
User ID: 31519086
Australia
01/14/2013 04:10 AM
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Re: Math: 6÷2(1+2) = ?
15 ÷ 3 × 4 is not 15 ÷ 12
Quoting: Anonymous Coward 31335546

"math won't work if you can't be sure of the answer, or if the exact same problem can calculate to two or more different answers."

Oh really? What is the answer to this equation?

x = square_root(9)
Anonymous Coward
User ID: 32057798
01/14/2013 06:00 AM
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Re: Math: 6÷2(1+2) = ?
It seems that each student interpreted the problem differently, resulting in two different answers. Student 1 performed the operation of addition first, then multiplication; whereas student 2 performed multiplication first, then addition. When performing arithmetic operations there can be only one correct answer. We need a set of rules in order to avoid this kind of confusion. Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation.

Rule 1: First perform any calculations inside parentheses.
Rule 2: Next perform all multiplications and divisions, working from left to right.
Rule 3: Lastly, perform all additions and subtractions, working from left to right
.

The above problem was solved correctly by Student 2 since she followed Rules 2 and 3. Let's look at some examples of solving arithmetic expressions using these rules.

-------------------------------------------------------------​-------------------
Quoting: WD

"Inside Parentheses" is what they first teach elementary school children. You learn how to really handle parentheses when you get older, by Distribution:

"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 BEFORE "pedmas" AND use with numbers, possible used to REMOVE parentheses too. [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.
Anonymous Coward
User ID: 32057798
01/14/2013 06:02 AM
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Re: Math: 6÷2(1+2) = ?
Why is this thread still around lol

Dear Aunt Sally isnt hard to follow

6/2(1+2)
6/2*3
3*3 = 9

Done.

:stewart1:
Quoting: J&V

The thread won't die because people like you still don't understand how to do math, and we are trying to help you understand Distributing and Factoring. We are not trying to be "right" but rather point you in the right direction so you can see for yourself.
Anonymous Coward
User ID: 31519086
Australia
01/14/2013 06:04 AM
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Re: Math: 6÷2(1+2) = ?
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.
Quoting: Anonymous Coward 32057798

is the factor multiplying the parentheses 6÷2 ?
Anonymous Coward
User ID: 32057798
01/14/2013 06:05 AM
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Re: Math: 6÷2(1+2) = ?
15 ÷ 3 × 4 is not 15 ÷ 12
Quoting: Anonymous Coward 31335546

Of course it isn't...

Ref: Purplemath
Anonymous Coward
User ID: 32057798
01/14/2013 06:06 AM
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Re: Math: 6÷2(1+2) = ?
I am curious as to how any of you would handle:

z ÷ a(a+b)

Simplify the above equation.
Anonymous Coward
User ID: 32175357
Australia
01/14/2013 06:09 AM
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Re: Math: 6÷2(1+2) = ?
I have a degree in mathematics.
Anonymous Coward
User ID: 32057798
01/14/2013 06:14 AM
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Re: Math: 6÷2(1+2) = ?
Here is the proof, without changing the equation, to show how the original equation was formed:

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

If you try it 9, you will have to insert parentheses or a times symbol somewhere along the lines, and end up with an illegal proof.
Anonymous Coward
User ID: 32057798
01/14/2013 06:14 AM
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Re: Math: 6÷2(1+2) = ?
I have a degree in mathematics.
Quoting: Anonymous Coward 32175357

I have a degree in Engineering. So what?
Anonymous Coward
User ID: 32057798
01/14/2013 06:17 AM
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Re: Math: 6÷2(1+2) = ?
is the factor multiplying the parentheses 6÷2 ?
Quoting: Anonymous Coward 31519086

No. It would HAVE to be in parentheses to do so. Every book or online references will show you that.
Anonymous Coward
User ID: 31519086
Australia
01/14/2013 06:38 AM
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Re: Math: 6÷2(1+2) = ?
I have a degree in mathematics.
Quoting: Anonymous Coward 32175357

I have a degree in Engineering. So what?
Quoting: Anonymous Coward 32057798

so if you had an engineering problem, who would you listen to, the engineer or the mathematician?