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InvisibleSlashOZ
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A quick math related question for yalls
    #14382823 - 05/01/11 02:02 PM (12 years, 8 months ago)

What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???


--------------------
"Life sucks but in this really beautiful way" - Axl Rose
"Life's a bitch and then you die that's why we get high cuz you never know when you're gonna go." - NAS
"When people don't know what you're about they put you down and shut you out" - Black Sabbath
"An eye for an eye makes the whole world blind" - Gandhi
"Look up at me I am God, look down on me and I am evil, look at me I am you." - Charles Manson.
"Don't question my reality." - Me (as far as I know)


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InvisibleMad_Larkin

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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382834 - 05/01/11 02:04 PM (12 years, 8 months ago)

42


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OfflineCoaster
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382841 - 05/01/11 02:06 PM (12 years, 8 months ago)

Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



According to the order of operations we have to take the sum of 1 and 2 first resulting in 3
then we take the product of 2 and 3 resulting in 6
then we take the quotient of 6 and 6 resulting in one
x=1
:coaster:


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Offlinechobumms
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382843 - 05/01/11 02:06 PM (12 years, 8 months ago)

Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???




6÷2(1+2)=x

6/2(3)

6/6

1=x

x=1


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Coaster]
    #14382848 - 05/01/11 02:07 PM (12 years, 8 months ago)

Quote:

Coaster said:
Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



According to the order of operations we have to take the sum of 1 and 2 first resulting in 3
then we take the product of 2 and 3 resulting in 6
then we take the quotient of 6 and 6 resulting in one
x=1
:coaster:



another way we can do this is distribute the 2 into the sum of 1 and 2 resulting in the sum of 2 and 4 which is 6
then we take the quotient of 6 and 6 again resulting in 1


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Coaster]
    #14382858 - 05/01/11 02:08 PM (12 years, 8 months ago)

Quote:

Coaster said:
Quote:

Coaster said:
Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



According to the order of operations we have to take the sum of 1 and 2 first resulting in 3
then we take the product of 2 and 3 resulting in 6
then we take the quotient of 6 and 6 resulting in one
x=1
:coaster:



another way we can do this is distribute the 2 into the sum of 1 and 2 resulting in the sum of 2 and 4 which is 6
then we take the quotient of 6 and 6 again resulting in 1



An alternative way to do this is to take 6 and divide it by 2(1+2) resulting in the rational expression 6/[2(1+2)]
which is the same as 6/2 times 1/(1+2)
and we all know that 6/2 is 3
so its really 3 times 1/(1+2) which is 3/(1+2) or just 1
:coasterheart:


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InvisibleSlashOZ
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Re: A quick math related question for yalls [Re: Coaster]
    #14382859 - 05/01/11 02:09 PM (12 years, 8 months ago)

Yeah i thought this was a pretty straightforward question as well. A lot of people seem to get the answer as 9.

here is a response from facebook as to how to solve this equation. (prepare for stupidity)

Christopher Johnson: You don't really even have to add the numbers in parentheses first. Another fun way to do this math problem is using distribution: first you do the division: 6÷2 = 3. Then you distribute multiplication by 3 to each of the terms inside the parentheses: 3(1+2) = 3(1) + 3(2) = 3 + 6 = 9.


--------------------
"Life sucks but in this really beautiful way" - Axl Rose
"Life's a bitch and then you die that's why we get high cuz you never know when you're gonna go." - NAS
"When people don't know what you're about they put you down and shut you out" - Black Sabbath
"An eye for an eye makes the whole world blind" - Gandhi
"Look up at me I am God, look down on me and I am evil, look at me I am you." - Charles Manson.
"Don't question my reality." - Me (as far as I know)


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OfflineCoaster
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382867 - 05/01/11 02:10 PM (12 years, 8 months ago)

Yeah order of operations is a common deficiency in many people.


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OfflineTri High
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Re: A quick math related question for yalls [Re: Coaster]
    #14382878 - 05/01/11 02:12 PM (12 years, 8 months ago)

Please Excuse My Dear Aunt Sally


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Tri High]
    #14382882 - 05/01/11 02:13 PM (12 years, 8 months ago)

fuck that sally tried to rape me I'm pressing charges


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OfflineTri High
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Re: A quick math related question for yalls [Re: Coaster]
    #14382888 - 05/01/11 02:14 PM (12 years, 8 months ago)

Parenthesis Exponents Multiplication Division Addition Subtraction


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Tri High]
    #14382894 - 05/01/11 02:17 PM (12 years, 8 months ago)

:congrats:


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: Coaster]
    #14382895 - 05/01/11 02:17 PM (12 years, 8 months ago)

Quote:

Coaster said:
Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



According to the order of operations we have to take the sum of 1 and 2 first resulting in 3
then we take the product of 2 and 3 resulting in 6
then we take the quotient of 6 and 6 resulting in one
x=1
:coaster:




I agree you would take the sum of 1 and 2 first because they're within parentheses, but after that multiplication and division are of the same rank so I would proceed from left to right:

6÷2(3) = 6÷2x3 = 3x3 = 9

Interestingly enough, some calculators appear to put implicit multiplication at a higher rank than explicit multiplication:

Quote:

Implied multiplication has a higher priority than explicit multiplication to allow users to enter expressions, in the same manner as they would be written. For example, the TI-80, TI-81, TI-82, and TI-85 evaluate 1/2X as 1/(2*X), while other products may evaluate the same expression as 1/2*X from left to right. Without this feature, it would be necessary to group 2X in parentheses, something that is typically not done when writing the expression on paper.

This order of precedence was changed for the TI-83 family, TI-84 Plus family, TI-89 family, TI-92 Plus, Voyage™ 200 and the TI-Nspire™ Handheld in TI-84 Plus Mode. Implied and explicit multiplication is given the same priority.



http://epsstore.ti.com/OA_HTML/csksxvm.jsp?nSetId=103110

But given that the TI-89 and Voyage™ 200 are the most advanced calculators out of this group, I'll stand by my decision to treat implicit multiplication and division as being of the same rank.


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OfflineHorsewithnoname
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Re: A quick math related question for yalls [Re: Coaster]
    #14382902 - 05/01/11 02:18 PM (12 years, 8 months ago)

If (1+2) is dividing the 6 then x=1, if it is multiplying it then x=9.


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InvisibleSlashOZ
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Re: A quick math related question for yalls [Re: Coaster]
    #14382907 - 05/01/11 02:19 PM (12 years, 8 months ago)

http://answers.yahoo.com/question/index?qid=20110428210248AA7we0U



even yahoo answers biffs it hardcore on this question.


--------------------
"Life sucks but in this really beautiful way" - Axl Rose
"Life's a bitch and then you die that's why we get high cuz you never know when you're gonna go." - NAS
"When people don't know what you're about they put you down and shut you out" - Black Sabbath
"An eye for an eye makes the whole world blind" - Gandhi
"Look up at me I am God, look down on me and I am evil, look at me I am you." - Charles Manson.
"Don't question my reality." - Me (as far as I know)


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382921 - 05/01/11 02:21 PM (12 years, 8 months ago)

Pretty sure Yahoo Answers is correct; see above.


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OfflinePreparationH
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382923 - 05/01/11 02:22 PM (12 years, 8 months ago)

I say 9


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OfflineNatorade
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Re: A quick math related question for yalls [Re: deCypher]
    #14382933 - 05/01/11 02:24 PM (12 years, 8 months ago)

its 9

you divide the 6 and 2 before multiplying the 2 and (1+2)


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Invisible4HO-DMT
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382934 - 05/01/11 02:24 PM (12 years, 8 months ago)

Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



The real questions is which way is the form of the equation:

Formula: 0

or

Formula: 1


The form of the equation will dictate the answer.


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OfflineCoaster
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Re: A quick math related question for yalls [Re: 4HO-DMT]
    #14382947 - 05/01/11 02:28 PM (12 years, 8 months ago)

Quote:

physicist said:
Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???



The real questions is which way is the form of the equation:

Formula: 0

or

Formula: 1


The form of the equation will dictate the answer.



if it was the second form Formula: 1 then the problem would have been written (6÷2)(1+2)=x


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: Coaster]
    #14382961 - 05/01/11 02:30 PM (12 years, 8 months ago)

If it was the first then it'd be written 6÷(2(1x2)).  :shrug:


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Invisible4HO-DMT
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Re: A quick math related question for yalls [Re: Coaster]
    #14382965 - 05/01/11 02:31 PM (12 years, 8 months ago)

I agree that it the proper way to write it out, but I thought I would clarify.


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InvisibleSlashOZ
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Re: A quick math related question for yalls [Re: deCypher]
    #14382972 - 05/01/11 02:32 PM (12 years, 8 months ago)

Why not just use the distributive property in step one to take care of the parenthesis DeCypher?

2(1+2) is a pretty clear algebraic term, nothing tricky just distribute.

which would give us 2*1+2*2=6

6/6=1

x=1


--------------------
"Life sucks but in this really beautiful way" - Axl Rose
"Life's a bitch and then you die that's why we get high cuz you never know when you're gonna go." - NAS
"When people don't know what you're about they put you down and shut you out" - Black Sabbath
"An eye for an eye makes the whole world blind" - Gandhi
"Look up at me I am God, look down on me and I am evil, look at me I am you." - Charles Manson.
"Don't question my reality." - Me (as far as I know)


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OfflineCoaster
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Re: A quick math related question for yalls [Re: 4HO-DMT]
    #14382977 - 05/01/11 02:33 PM (12 years, 8 months ago)

6÷2(1+2)=1
6÷(2(1+2))=1
(6÷2)(1+2)=9
6/2 (1+2)=9

:coaster:


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OfflineFungal-one
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14382982 - 05/01/11 02:34 PM (12 years, 8 months ago)

Quote:

SlashOZ said:
What is the answer to...

6÷2(1+2)=x

Some people say x=9
Some people say x=1

what says the pub, if they care to do math on a sunday???




I'm a complete ruhtard and I know that x=9, there.

I didn't read any of the replies, though. Perhaps I am wrong but just don't know it because I'm so obtuse and thick headed.


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Fungal-one]
    #14383005 - 05/01/11 02:38 PM (12 years, 8 months ago)

at least you realize your flaws


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: SlashOZ]
    #14383016 - 05/01/11 02:39 PM (12 years, 8 months ago)

Quote:

SlashOZ said:
Why not just use the distributive property in step one to take care of the parenthesis DeCypher?

2(1+2) is a pretty clear algebraic term, nothing tricky just distribute.

which would give us 2*1+2*2=6

6/6=1

x=1




If you want to use the distributive property then why would you ignore the 6?  We have 6÷2(1+2), and distributing the 6÷2 gets us (6÷2)1 + (6÷2)2 = (3)1 + (3)2 = 9.  Multiplication and division have the same priority, so when we have an expression composed of multiple things being multiplied and divided we have to start from the left and move to the right.

Quote:

Coaster said:
6÷2(1+2)=1
6÷(2(1+2))=1
(6÷2)(1+2)=9
6/2 (1+2)=9

:coaster:




Huh?

6÷2(1+2) is identical to 6/2(1+2); both of these expressions equal 9.


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OfflineFungal-one
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Re: A quick math related question for yalls [Re: Coaster]
    #14383019 - 05/01/11 02:39 PM (12 years, 8 months ago)

:feelsbadman:


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OfflineNVW 3CVdS
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Re: A quick math related question for yalls [Re: 4HO-DMT]
    #14383022 - 05/01/11 02:40 PM (12 years, 8 months ago)

It's all about how it's parsed.  A TI-X calc will give 9 (i'm almost positive).  This is because an equation with only division and multiplication is parsed from left to right, and / is the operator used for division.  Division is really just multiplication by a fraction. PEMDAS order of ops will give you 1.  I'm a stats class away from a BA in math (have been for a year). The answer is 1. But, the form does seem sort of ambiguous.


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OfflineCoaster
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Re: A quick math related question for yalls [Re: NVW 3CVdS]
    #14383029 - 05/01/11 02:41 PM (12 years, 8 months ago)

Quote:

NVW 3CVdS said:
It's all about how it's parsed.  A TI-X calc will give 9 (i'm almost positive).  This is because an equation with only division and multiplication is parsed from left to right, and / is the operator used for division.  Division is really just multiplication by a fraction. PEMDAS order of ops will give you 1.  I'm a stats class away from a BA in math (have been for a year). The answer is 1. But, the form does seem sort of ambiguous.



decypher already addressed that issue


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OfflineNVW 3CVdS
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Re: A quick math related question for yalls [Re: NVW 3CVdS]
    #14383036 - 05/01/11 02:43 PM (12 years, 8 months ago)

Quote:

If you want to use the distributive property then why would you ignore the 6?  We have 6÷2(1+2), and distributing the 6÷2 gets us (6÷2)1 + (6÷2)2 = (3)1 + (3)2 = 9.  Multiplication and division have the same priority, so when we have an expression composed of multiple things being multiplied and divided we have to start from the left and move to the right.




I can't tell if the author means (6/2)(1+2) or 6/(2*(1+2))


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Edited by NVW 3CVdS (05/01/11 02:46 PM)


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: NVW 3CVdS]
    #14383039 - 05/01/11 02:43 PM (12 years, 8 months ago)

Quote:

NVW 3CVdS said:
PEMDAS order of ops will give you 1.




Order of operations tells you that multiplication has the same priority of division, so when both are present one proceeds from left to right.  PEMDAS is thus technically wrong if one takes it literally; it should be PE(M,D)(A,S) where the order of multiplication & division and addition & subtraction can be reversed depending on which is leftmost in the equation.

For example:

1x3x9÷9 = ((1x3)x9)÷9
1÷3x9÷3 = ((1÷3)x9)÷3


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Edited by deCypher (05/01/11 02:49 PM)


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OfflineCoaster
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Re: A quick math related question for yalls [Re: deCypher]
    #14383049 - 05/01/11 02:45 PM (12 years, 8 months ago)

Quote:

deCypher said:
Quote:

Coaster said:
6÷2(1+2)=1
6÷(2(1+2))=1
(6÷2)(1+2)=9
6/2 (1+2)=9

:coaster:




Huh?

6÷2(1+2) is identical to 6/2(1+2); both of these expressions equal 9.



6÷2(1+2) in English is six divided by the product of 2, and the sum of 1 and 2

6/2(1+2) in English is the product of, the quotient of 6 and 2, and the sum of 1 and 2


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: Coaster]
    #14383053 - 05/01/11 02:46 PM (12 years, 8 months ago)

Eh, I agree that spelled out in words you are correct but ÷ and / are synonymous symbols AFAIK.  :confused:


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OfflineNVW 3CVdS
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Re: A quick math related question for yalls [Re: deCypher]
    #14383057 - 05/01/11 02:48 PM (12 years, 8 months ago)

In any case one should use as many parenthesis as necessary to avoid these problems. lol


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OfflineCoaster
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Re: A quick math related question for yalls [Re: deCypher]
    #14383059 - 05/01/11 02:49 PM (12 years, 8 months ago)

Quote:

deCypher said:
Eh, I agree that spelled out in words you are correct but ÷ and / are synonymous symbols AFAIK.  :confused:



yes / and ÷ are equivalent operations

HOWEVER

6÷2(1+2) is not identical to 6/2(1+2)

because 6÷2(1+2) states that (1+2) is clearly being multiplied by the 2

6/2(1+2)implies that its 6/2 times (1+2)/1 since there are no parenthesis indicating that (1+2) is on the denominator


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: NVW 3CVdS]
    #14383064 - 05/01/11 02:50 PM (12 years, 8 months ago)

Quote:

NVW 3CVdS said:
In any case one should use as many parenthesis as necessary to avoid these problems. lol




:yesnod:


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Coaster]
    #14383068 - 05/01/11 02:50 PM (12 years, 8 months ago)

you see when you write out rational expression (fractions) on one horizontal line using a slash / instead of a horizontal bar you MUST include parenthesis.


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InvisibledeCypher
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Re: A quick math related question for yalls [Re: Coaster]
    #14383075 - 05/01/11 02:52 PM (12 years, 8 months ago)

Quote:

Coaster said:
yes / and ÷ are equivalent operations

HOWEVER

6÷2(1+2) is not identical to 6/2(1+2)

because 6÷2(1+2) states that (1+2) is clearly being multiplied by the 2

6/2(1+2)implies that its 6/2 times (1+2)/1 since there are no parenthesis indicating that (1+2) is on the denominator




I don't think so... if they're equivalent operations then substituting one symbol for the other shouldn't change the meaning of the expression.  In both cases it's unclear whether or not we're supposed to take 6/2 first, and THEN multiply by the parentheses, or multiply 2 by the parentheses and then take 6 divided by all that.  Technically speaking though, in the absence of clarification we would proceed from left to right in both expressions and divide 6 by 2 first, then multiply by the 3.

Quote:

Coaster said:
you see when you write out rational expression (fractions) on one horizontal line using a slash / instead of a horizontal bar you MUST include parenthesis.




If that's true then the same rule would have to apply to fractions that use the ÷ symbol.  :shrug:


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OfflineNVW 3CVdS
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Re: A quick math related question for yalls [Re: NVW 3CVdS]
    #14383079 - 05/01/11 02:53 PM (12 years, 8 months ago)

Sometimes when i'm programming I find myself using parenthesis when not even necessary to make sure what I want is clear.


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OfflineFungal-one
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Re: A quick math related question for yalls [Re: Coaster]
    #14383098 - 05/01/11 02:57 PM (12 years, 8 months ago)

Quote:

Coaster said:
you see when you write out rational expression (fractions) on one horizontal line using a slash / instead of a horizontal bar you MUST include parenthesis.



What would you know about rational expressions?

:maximumtrolling:


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OfflineCoaster
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Re: A quick math related question for yalls [Re: Fungal-one]
    #14383103 - 05/01/11 02:58 PM (12 years, 8 months ago)

Quote:

Fungal-one said:
Quote:

Coaster said:
you see when you write out rational expression (fractions) on one horizontal line using a slash / instead of a horizontal bar you MUST include parenthesis.



What would you know about rational expressions?

:maximumtrolling:



Everything. :teacher:


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InvisibleSlashOZ
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Re: A quick math related question for yalls [Re: Coaster] * 1
    #14383133 - 05/01/11 03:06 PM (12 years, 8 months ago)

So the true correct answer is....

1. Rewrite the equation with more parenthesis asshole!
2. Solve the easy equation from there.


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