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# Math: 6÷2(1+2) = ?

JamesVII

User ID: 1718960
United States
03/05/2013 05:48 PM
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Re: Math: 6÷2(1+2) = ?
9.

With distributive property properly applied.

6÷2*1+6÷2*2= still equals 9.

With basic pemdas application.

step one "P"
(1+2) = 3.

step two. From left to right solve any multiplication or division equations. Again from Left to Right.

so 6÷2*3 = 9 (Still)

Notice how the distributive property is not needed to reach the same absolute answer of 9, but even when applied you still get 9.

So 9. thank you basic arithmetic and algebra. =]
Quoting: Zinthaniel

If you substitute the plus sign with a multiply, in the parenthesis, what do you get then? Parenthesis are there to determine order.
Quoting: JamesVII

With the distributive property used even with pemdas used in conjunction you still get 9.

6÷2(1+2)
1: "P"

1+2=3 you can choose to leave the 3 in the parentheses if you so choose, but this is not necessary because the parentheses are not relevant at this point. But if you do then you have this.

6÷2(3) Now to distribute, if we must, but why?

anyways at this point since only 3 remains in the parentheses we get this

6÷2*3.

guess what it still equals 9.
Quoting: Zinthaniel

Ok, maybe it's cause of my public education, but I'm going to try to explain what I've learned, and I know it's probably somewhere in the last hundred pages or so, but can you please explain the following:

6/2(1a+2a)= ?
when a=1

(6)/2(1a+2a)=?
when a=1

6/2(1a+2a)=?
when a=2

(6)/2(1a+2a)=?
when a=2

Under your theory, these should all be the same, yes?
JamesVII

User ID: 1718960
United States
03/05/2013 05:50 PM
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Re: Math: 6÷2(1+2) = ?
If you substitute the plus sign with a multiply, in the parenthesis, what do you get then? Parenthesis are there to determine order.
Quoting: JamesVII

6
Quoting: Anonymous Coward 3343897

Then what is this:
(6)/2(1*2)
thought so. thanks.
Quoting: JamesVII

The parentheses around the six alone means nothing. All you did is parenthesize a whole number that is already at it's simplest form.

1*2 = 2

now we have 6/2*2= 6
Quoting: Zinthaniel

SO, is there any difference between this:
6/2(1+2)

and this?
6/(2+(1+2))
Zinthaniel

User ID: 35630633
United States
03/05/2013 05:54 PM
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Re: Math: 6÷2(1+2) = ?
9.

With distributive property properly applied.

6÷2*1+6÷2*2= still equals 9.

With basic pemdas application.

step one "P"
(1+2) = 3.

step two. From left to right solve any multiplication or division equations. Again from Left to Right.

so 6÷2*3 = 9 (Still)

Notice how the distributive property is not needed to reach the same absolute answer of 9, but even when applied you still get 9.

So 9. thank you basic arithmetic and algebra. =]
Quoting: Zinthaniel

If you substitute the plus sign with a multiply, in the parenthesis, what do you get then? Parenthesis are there to determine order.
Quoting: JamesVII

With the distributive property used even with pemdas used in conjunction you still get 9.

6÷2(1+2)
1: "P"

1+2=3 you can choose to leave the 3 in the parentheses if you so choose, but this is not necessary because the parentheses are not relevant at this point. But if you do then you have this.

6÷2(3) Now to distribute, if we must, but why?

anyways at this point since only 3 remains in the parentheses we get this

6÷2*3.

guess what it still equals 9.
Quoting: Zinthaniel

Ok, maybe it's cause of my public education, but I'm going to try to explain what I've learned, and I know it's probably somewhere in the last hundred pages or so, but can you please explain the following:

6/2(1a+2a)= ?
when a=1

(6)/2(1a+2a)=?
when a=1

6/2(1a+2a)=?
when a=2

(6)/2(1a+2a)=?
when a=2

Under your theory, these should all be the same, yes?
Quoting: JamesVII

Ok.

well If I know the variables value then there is no need for the variable to be in there because I can simply replace it with it's value. So your equations look like this.

6/2(1*1+2*1) At this point Pemdas is applied at the answer is discover through simple arithmetic.

Without knowledge of the values of your variable then the distributive property is applied.

so:
6/2(1a+2a) Well one the parentheses can be simplified to 3a squared. Then you can do 6/2*3a squared or 3*3a squared.
You know there's to many buttons in the world, and they're just begging to be pushed.
Zinthaniel

User ID: 35630633
United States
03/05/2013 05:56 PM
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Re: Math: 6÷2(1+2) = ?
...

6
Quoting: Anonymous Coward 3343897

Then what is this:
(6)/2(1*2)
thought so. thanks.
Quoting: JamesVII

The parentheses around the six alone means nothing. All you did is parenthesize a whole number that is already at it's simplest form.

1*2 = 2

now we have 6/2*2= 6
Quoting: Zinthaniel

SO, is there any difference between this:
6/2(1+2)

and this?
6/(2+(1+2))
Quoting: JamesVII

Yes there is. Parentheses do in fact denote the order in which the equation is solved. The inner most parentheses comes first. so in this case it is.

1+2 = 3*2 = 6 and then 6/6 = 1
You know there's to many buttons in the world, and they're just begging to be pushed.
SnakeAirlines

User ID: 35561930
United States
03/05/2013 05:57 PM
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Re: Math: 6÷2(1+2) = ?
Here is how to rewrite the problem properly when the obelus is used. Notice how they don't change 2x into 2 * x and then use only the 2 for the divisor??

The 9ers somewhat understand the order of operations, but it is the algebra that is killing them in the end
Quoting: caper_26

Yup.
"Hold my cat while I bring in my tomato plant. That chemtrail looks like an earthquake chemtrail"

deanoZXT-07/20/2014 07:48 PM
Zinthaniel

User ID: 35630633
United States
03/05/2013 05:58 PM
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Re: Math: 6÷2(1+2) = ?
Here is how to rewrite the problem properly when the obelus is used. Notice how they don't change 2x into 2 * x and then use only the 2 for the divisor??

The 9ers somewhat understand the order of operations, but it is the algebra that is killing them in the end
Quoting: caper_26

Yup.
Quoting: SnakeAirlines

Nope and nope again.
You know there's to many buttons in the world, and they're just begging to be pushed.
SnakeAirlines

User ID: 35561930
United States
03/05/2013 06:01 PM
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Re: Math: 6÷2(1+2) = ?
Here is how to rewrite the problem properly when the obelus is used. Notice how they don't change 2x into 2 * x and then use only the 2 for the divisor??

The 9ers somewhat understand the order of operations, but it is the algebra that is killing them in the end
Quoting: caper_26

Yup.
Quoting: SnakeAirlines

Nope and nope again.
Quoting: Zinthaniel

Keep trying...

It may sink in one day...
"Hold my cat while I bring in my tomato plant. That chemtrail looks like an earthquake chemtrail"

deanoZXT-07/20/2014 07:48 PM
Zinthaniel

User ID: 35630633
United States
03/05/2013 06:09 PM
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Re: Math: 6÷2(1+2) = ?
Here is how to rewrite the problem properly when the obelus is used. Notice how they don't change 2x into 2 * x and then use only the 2 for the divisor??

The 9ers somewhat understand the order of operations, but it is the algebra that is killing them in the end
Quoting: caper_26

Yup.
Quoting: SnakeAirlines

Nope and nope again.
Quoting: Zinthaniel

Keep trying...

It may sink in one day...
Quoting: SnakeAirlines

=] Try what? You're buddy is referencing the distributive property? yes I can see that.

He is now asserting that the use of the distributive property demands that the answer be 1. But that is incorrect.

In a common binomial or polynomial equation the distributive property is most commonly used because it's usually the only time is makes since to even bother with it.

so we have an equation that looks like this.

4x(3xy-7)

No as I'm sure we all know when we parse the units we are not going to isolate the x and distribute it by it's self. It's get distributed along with it's buddy 4. So we end up with this.

12x squared*y - 28x =

This same distributive property application is applied to division as well.

So we have:

6÷2(1+2)

if you are going to use the distributive property, which is not necessary, it looks like this.

6÷2*1+6÷2*2=9

The answer is still and will always be 9. =]

You're friend is half right when enforcing this tedious and not required rule on this basic arithmetic equation, only he forgets the 6÷2 are unit together so they have to be distributed together.
You know there's to many buttons in the world, and they're just begging to be pushed.
JamesVII

User ID: 1718960
United States
03/05/2013 06:11 PM
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Re: Math: 6÷2(1+2) = ?
...

Then what is this:
(6)/2(1*2)
thought so. thanks.
Quoting: JamesVII

The parentheses around the six alone means nothing. All you did is parenthesize a whole number that is already at it's simplest form.

1*2 = 2

now we have 6/2*2= 6
Quoting: Zinthaniel

SO, is there any difference between this:
6/2(1+2)

and this?
6/(2+(1+2))
Quoting: JamesVII

Yes there is. Parentheses do in fact denote the order in which the equation is solved. The inner most parentheses comes first. so in this case it is.

1+2 = 3*2 = 6 and then 6/6 = 1
Quoting: Zinthaniel

See, I was taught, and succeeded in algebra (their method anyway), that anything adjacent to the parenthesis equation is performed first, before the others, regardless of left to right. I don't think it has anything to do with our English form of the left to right interpretation, however I got a business degree that is absolutely worthless, so what do I know.. hehe.
Anonymous Coward
User ID: 18545317
United States
03/05/2013 06:14 PM
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Re: Math: 6÷2(1+2) = ?
The common problem people are overlooking is brackets, or lack of brackets.

6 divided by [2(1+2)] = 1

6 divided by 2 times (1+2) = 9

So since the problem, lacks or doesn't specify brackets, the answer is 9.
Zinthaniel

User ID: 35630633
United States
03/05/2013 06:16 PM
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Re: Math: 6÷2(1+2) = ?
...

The parentheses around the six alone means nothing. All you did is parenthesize a whole number that is already at it's simplest form.

1*2 = 2

now we have 6/2*2= 6
Quoting: Zinthaniel

SO, is there any difference between this:
6/2(1+2)

and this?
6/(2+(1+2))
Quoting: JamesVII

Yes there is. Parentheses do in fact denote the order in which the equation is solved. The inner most parentheses comes first. so in this case it is.

1+2 = 3*2 = 6 and then 6/6 = 1
Quoting: Zinthaniel

See, I was taught, and succeeded in algebra (their method anyway), that anything adjacent to the parenthesis equation is performed first, before the others, regardless of left to right. I don't think it has anything to do with our English form of the left to right interpretation, however I got a business degree that is absolutely worthless, so what do I know.. hehe.
Quoting: JamesVII

Well technically you could do it that way, but the problem is you are isolating the 2 when, in fact, the 6÷2 is a whole unite that needs to be distributed.

Technically distributive property can be used in basic arithmetic but there is not point since you are dealing with whole numbers at their simplest form and can be solved with out the use of that property.

So yes you are right, but you are applying it wrong.

6÷2 is what is directly adjacent to the parentheses and therefore is what needs to be distributed and therefore making you way of being taught still valid.
You know there's to many buttons in the world, and they're just begging to be pushed.
JamesVII

User ID: 1718960
United States
03/05/2013 06:16 PM
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Re: Math: 6÷2(1+2) = ?
...

Yup.
Quoting: SnakeAirlines

Nope and nope again.
Quoting: Zinthaniel

Keep trying...

It may sink in one day...
Quoting: SnakeAirlines

=] Try what? You're buddy is referencing the distributive property? yes I can see that.

He is now asserting that the use of the distributive property demands that the answer be 1. But that is incorrect.

In a common binomial or polynomial equation the distributive property is most commonly used because it's usually the only time is makes since to even bother with it.

so we have an equation that looks like this.

4x(3xy-7)

No as I'm sure we all know when we parse the units we are not going to isolate the x and distribute it by it's self. It's get distributed along with it's buddy 4. So we end up with this.

12x squared*y - 28x =

This same distributive property application is applied to division as well.

So we have:

6÷2(1+2)

if you are going to use the distributive property, which is not necessary, it looks like this.

6÷2*1+6÷2*2=9

The answer is still and will always be 9. =]

You're friend is half right when enforcing this tedious and not required rule on this basic arithmetic equation, only he forgets the 6÷2 are unit together so they have to be distributed together.
Quoting: Zinthaniel

I don't think this is correct man. Why are you carrying the 6 into the equation that should be left for only the 2? Damn, I came here to see the article about the unnecessary drones flying over us, and I've now wasted 20 mins debating a plus b equals c. gotta love glp.
peaceewar

User ID: 21025060
United States
03/05/2013 06:18 PM
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Re: Math: 6÷2(1+2) = ?
7
Anonymous Coward
User ID: 35630633
United States
03/05/2013 07:51 PM
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Re: Math: 6÷2(1+2) = ?
...

Nope and nope again.
Quoting: Zinthaniel

Keep trying...

It may sink in one day...
Quoting: SnakeAirlines

=] Try what? You're buddy is referencing the distributive property? yes I can see that.

He is now asserting that the use of the distributive property demands that the answer be 1. But that is incorrect.

In a common binomial or polynomial equation the distributive property is most commonly used because it's usually the only time is makes since to even bother with it.

so we have an equation that looks like this.

4x(3xy-7)

No as I'm sure we all know when we parse the units we are not going to isolate the x and distribute it by it's self. It's get distributed along with it's buddy 4. So we end up with this.

12x squared*y - 28x =

This same distributive property application is applied to division as well.

So we have:

6÷2(1+2)

if you are going to use the distributive property, which is not necessary, it looks like this.

6÷2*1+6÷2*2=9

The answer is still and will always be 9. =]

You're friend is half right when enforcing this tedious and not required rule on this basic arithmetic equation, only he forgets the 6÷2 are unit together so they have to be distributed together.
Quoting: Zinthaniel

I don't think this is correct man. Why are you carrying the 6 into the equation that should be left for only the 2? Damn, I came here to see the article about the unnecessary drones flying over us, and I've now wasted 20 mins debating a plus b equals c. gotta love glp.
Quoting: JamesVII

You don't leave the six out. You are isolating the 2, but that's not possible.

For instance when using the distributive property when it would be most useful would be in polynomial and binomial equations. They have variables.

4x(x+xy)

as we all know 4x= 4*x
but you don't isolate the x and then distribute it by it's self like this:

4(x squared + x squared*y)
you always keep the 4 and the x together.

this also applies to division.
so 4/x(x+xy) = 4/x squared + 4/x squared *y)

that is how it has always been done. Check any distributive property article explaining it function and application.

you can not isolate the 2.
the 2 in this instants it equivalent to and is acting as the x in any binomial or polynomial equation. In which the x is never separated when distributed unless it is explicitly alone.

Don't believe me check his links:
Here is how to rewrite the problem properly when the obelus is used. Notice how they don't change 2x into 2 * x and then use only the 2 for the divisor??

The 9ers somewhat understand the order of operations, but it is the algebra that is killing them in the end
Quoting: caper_26

Notice the x is not be distributed alone, it's not being isolated in the way everyone seems to be isolating the 2 in this instance, it's numerical partner is coming along for the ride.
Why would this rule suddenly be dropped in this equation? The 6 has to be distributed along with the 2. So the when done correctly it looks like such:

6÷2*1+6÷2*2=9
SnakeAirlines

User ID: 35561930
United States
03/06/2013 05:24 AM
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Re: Math: 6÷2(1+2) = ?
...

Yup.
Quoting: SnakeAirlines

Nope and nope again.
Quoting: Zinthaniel

Keep trying...

It may sink in one day...
Quoting: SnakeAirlines

=] Try what? You're buddy is referencing the distributive property? yes I can see that.

He is now asserting that the use of the distributive property demands that the answer be 1. But that is incorrect.

In a common binomial or polynomial equation the distributive property is most commonly used because it's usually the only time is makes since to even bother with it.

so we have an equation that looks like this.

4x(3xy-7)

No as I'm sure we all know when we parse the units we are not going to isolate the x and distribute it by it's self. It's get distributed along with it's buddy 4. So we end up with this.

12x squared*y - 28x =

This same distributive property application is applied to division as well.

So we have:

6÷2(1+2)

if you are going to use the distributive property, which is not necessary, it looks like this.

6÷2*1+6÷2*2=9

The answer is still and will always be 9. =]

You're friend is half right when enforcing this tedious and not required rule on this basic arithmetic equation, only he forgets the 6÷2 are unit together so they have to be distributed together.
Quoting: Zinthaniel

I did say to keep trying...

"Hold my cat while I bring in my tomato plant. That chemtrail looks like an earthquake chemtrail"

deanoZXT-07/20/2014 07:48 PM
Anonymous Coward
User ID: 7736082
United States
03/13/2013 10:05 AM
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Re: Math: 6÷2(1+2) = ?
caper_26

User ID: 32057798
04/24/2013 10:31 PM
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Re: Math: 6÷2(1+2) = ?
6 + 3 = 9
(6÷2)2 + (6÷2)1 = 9
(6÷2)(2+1) = 9

---------------
6 ÷ 6 = 1
6 ÷ (4+2) = 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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Australia
04/24/2013 10:37 PM
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Re: Math: 6÷2(1+2) = ?
Coelho

User ID: 37552930
Brazil
04/24/2013 10:48 PM

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Re: Math: 6÷2(1+2) = ?
33

I know no rule that states a number and another between parenthesis should be multiplied or added.
Anonymous Coward
User ID: 32057798
06/10/2013 09:30 PM
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Re: Math: 6÷2(1+2) = ?
33

I know no rule that states a number and another between parenthesis should be multiplied or added.
Quoting: Coelho

a(b+c) = (ab + ac)
If c = 0, we have:

a(b + 0) = (ab + 0) = (ab)

Called distributive property along with the addition identity.
Anonymous Coward
User ID: 31263808
United States
06/11/2013 01:44 AM
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Re: Math: 6÷2(1+2) = ?
9.

With distributive property properly applied.

6÷2*1+6÷2*2= still equals 9.

With basic pemdas application.

step one "P"
(1+2) = 3.

step two. From left to right solve any multiplication or division equations. Again from Left to Right.

so 6÷2*3 = 9 (Still)

Notice how the distributive property is not needed to reach the same absolute answer of 9, but even when applied you still get 9.

So 9. thank you basic arithmetic and algebra. =]
Quoting: Zinthaniel

If you substitute the plus sign with a multiply, in the parenthesis, what do you get then? Parenthesis are there to determine order.
Quoting: JamesVII

With the distributive property used even with pemdas used in conjunction you still get 9.

6÷2(1+2)
1: "P"

1+2=3 you can choose to leave the 3 in the parentheses if you so choose, but this is not necessary because the parentheses are not relevant at this point. But if you do then you have this.

6÷2(3) Now to distribute, if we must, but why?

anyways at this point since only 3 remains in the parentheses we get this

6÷2*3.

guess what it still equals 9.
Quoting: Zinthaniel

Ok, maybe it's cause of my public education, but I'm going to try to explain what I've learned, and I know it's probably somewhere in the last hundred pages or so, but can you please explain the following:

6/2(1a+2a)= ?
when a=1

(6)/2(1a+2a)=?
when a=1

6/2(1a+2a)=?
when a=2

(6)/2(1a+2a)=?
when a=2

Under your theory, these should all be the same, yes?
Quoting: JamesVII

The division symbol is not to be construed as necessitating a numerator/denominator relationship.

The parenthesis and order of operations supersedes everything else.

So, 9.
Anonymous Coward
User ID: 1034800
United States
06/11/2013 02:10 AM
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Re: Math: 6÷2(1+2) = ?

parenthesis first and then it goes from left to right

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

First:
Today, parentheses or brackets are used to explicitly denote precedence by grouping parts of an expression that should be evaluated first.
Then:
The order of operations used throughout mathematics, science, technology and many computer programming languages is expressed here:[2]
exponents and roots
multiplication and division
This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first.

Mnemonics (like PEDMAS) may be misleading ...especially if the user is not aware that multiplication and division are of equal precedence, as are addition and subtraction.
Anonymous Coward
User ID: 39030376
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06/11/2013 05:20 AM
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Re: Math: 6÷2(1+2) = ?

Arithmetic Order of Operations:

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.
Possum

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06/11/2013 05:23 AM
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Re: Math: 6÷2(1+2) = ?
This thread is still going!?*^)\$ WOW :o
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Anonymous Coward
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04/28/2014 06:06 AM
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Re: Math: 6÷2(1+2) = ?
the important thing is that you tried! not if you get the right answer!!!!1
Numb Nutz
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04/28/2014 07:19 AM
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Re: Math: 6÷2(1+2) = ?
6/2= 3
(1+2) multiply brackets X first calculation

3 X 3 =9

You always always work left to right on math problems.
This1000xThis
User ID: 57391721
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04/28/2014 07:58 AM
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Re: Math: 6÷2(1+2) = ?
Parenthesis - (1+2) = 3
Exponents - None
Multiply - 2(3) = 6
Division - 6÷6 = 1
Subtraction - Equation is already done

OP even mentioned 1 in bold in the original post.
GOVT SHILL

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04/28/2014 08:08 AM
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Re: Math: 6÷2(1+2) = ?
9 you friggin herpderps

3(3)=9

Yes, its that simple.

wow
Anonymous Coward
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04/28/2014 08:10 AM
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Re: Math: 6÷2(1+2) = ?
Anonymous Coward
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Poland
04/28/2014 08:11 AM
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