Math Equation

[Arcane]

[quote name='The Jester' timestamp='1304060755' post='507349']
basic rules of math as I learned them

you alway go from inside to outside an work yourself out
so first you do the bracket
since you have a 3 in the bracket you multiply first, then divide...

only 1 is correct and ANY math teacher should tell you this
[/quote]

you divide first then multiply. any math teacher who understands the correct order of operations should tell you this.

in fact, just do a google of: order of operations left to right rule Edited April 29, 2011 by Arcane

[The Jester]

this is how you do it

6:2(1+2)=

6:(2+4)=

6:6=1

first you solve the bracket, you cant do shit if its there
but to lose it, you need to multiply all that is in the bracket Edited April 29, 2011 by The Jester

[Arcane]

Edit time limit expired: The 3 doesn't reside in the bracket. The bracket states that the addition portion of the formula need be accomplished first. After it's resolved, you are left with 6÷2(3). However you are misinterpreting the forumla to read as such: 6 ÷ (2 x 3). It is actually read as 6 ÷ 2 x 3. The parentheses is exclusively for the 1 + 2. For those who think they're calculating something with 3 because it's in the parentheses, then I can separate it for you and let you calculate it by itself. Here you go:

(3)

Go ahead...I'll wait.


(3) = 3. Plain old 3. There's no other calculation to be made.

In fact, just do a google of: order of operations left to right rule

[Arcane]

[quote name='The Jester' timestamp='1304069155' post='507363']
this is how you do it

6:2(1+2)=

6:(2+4)=

6:6=1

first you solve the bracket, you cant do shit if its there
but to lose it, you need to multiply all that is in the bracket
[/quote]

The only thing left in the bracket is the 3. You do not distribute the 2 into the term within the parentheses. In fact, it's not even considered distributing. It's a simple multiplication, which means you perform the multiplication and division in the order as read from left to right.

[Arcane]

[quote name='The Jester' timestamp='1304069155' post='507363']
this is how you do it

6:2(1+2)=

6:(2+4)=

6:6=1

first you solve the bracket, you cant do shit if its there
but to lose it, you need to multiply all that is in the bracket
[/quote]
To solve the bracket first, you add. you do not distribute the 2 into the bracket. Strictly do to the fact that you have a term and operation preceding the 2 and the order of operations explicitly states to solve the formulas IN the brackets first. Now, as you said, you solve the bracket

(1 + 2) = 3

Then you are left with 6 ÷ 2 x 3. Solve left to right. Edited April 29, 2011 by Arcane

[The Jester]

found this neat little answer on yahoo

This does NOT equal 9... This is not algebra it is simple order of operations. Making this problem 6/2 is completely incorrect and not allowed because it is a coefficient to the (2+1). So you would do 2+1=3 then take 2*3 equalling 6, then 6/6=1

I promise this is right.
[b]Source(s):[/b]
MULTIPLE math majors and teachers

try yahoo answer and dont trust google calculator... Edited April 29, 2011 by The Jester

[Arcane]

And I just found out that this particular formula is given to elementary school students to see if they under the concept of order of operations. haha!

[The Jester]

oh and these 2 also

okay.. clearly i know how to use PEMDAS because i used it.. to get 1 BITCHESSSS! those of you who answered 9 either dont know how to use PEMDAS or are too stupid to do the problem yourselves so you put it in some kind of calculator (news flash: CALCULATORS DONT HAVE BRAINS!)... you HAVE to DISTRIBUTE the 2 BEFORE you DIVIDE!!! let me dumb it down for you a bit...

here is said problem 6/2(1+2) which can also be written as:
6
-------- you CANNOT separate the 2 from the equation in the parenthesis!!!!
2(1+2)

now do the math..
6 6 6
---------- = ----- = ---- = 1
2(1+2) 2(3) 6

easy peasy.. and if youre feeling ambitious:

6 (1+2) 6 3 6
--- x --------- = ----- x --- = (cross multiply) = --- = 1
2 1 2 1 6

and for people who are more traditional:

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

dont like that? how about this:

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

thats 5 (for those of you who clearly dont know how to count) different ways to solve one problem and get the CORRECT answer. if you STILL dont believe.. i suggest some good old fashioned Jesus Christ to bless your poor soul!
[b]Source(s):[/b]
Elementary Math



This is how it makes sense to me...please correct me if I'm wrong


6 ÷ 2(2+1)=
If 2 = y
6÷y(y+1)=
6÷[(yxy) + (yx1)]=
6÷[y²+y]=
Replace y = 2
6÷(2²+2)=
6÷(4+2)=
6÷6=1
[b]Source(s):[/b]
Nothing really, just kind of...thought about it...alot

[Arcane]

[quote name='The Jester' timestamp='1304070457' post='507368']
found this neat little answer on yahoo

This does NOT equal 9... This is not algebra it is simple order of operations. Making this problem 6/2 is completely incorrect and not allowed because it is a coefficient to the (2+1). So you would do 2+1=3 then take 2*3 equalling 6, then 6/6=1

I promise this is right.
[b]Source(s):[/b]
MULTIPLE math majors and teachers

try yahoo answer and dont trust google calculator...
[/quote]
Funny thing, I found this on yahoo too:

[quote]I'm sorry, but I grew up with PEMDAS!
Please Excuse My Dear Aunt Sally
Parentheses, Exponents, Multipication AND Division, Addition AND Subtraction (They are interchangeable)

If you take this into account;
6/2(1+2)

Parentheses: 1+2 = 3
Exponents: Obvious there are none.
Multipication AND Division: 6 DIVIDED by 2 = 3
Now all you are left with is 3(3).
3 TIMES 3 is 9!

Tada! Not that hard.
[b]Source(s):[/b]
Common sense.
[/quote]

[quote]
Mnemonics are often used to help students remember the rules, but the rules taught by the use of acronyms can be misleading. In the United States the acronym PEMDAS is common. It stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. If PEMDAS is followed without remembering to do multiplication and division at the same time and done instead with multplication then division students will get wrong answers. For example: 6÷2(1+2)=9 not 1. In other English speaking countries, Parentheses may be called Brackets, or symbols of inclusion and Exponentiation may be called either Indices, Powers or Orders, and since multiplication and division are of equal precedence, M and D are often interchanged, leading to such acronyms as BEDMAS, BIMDAS, BODMAS, BOMDAS, BERDMAS, PERDMAS, PEMDAS, and BPODMAS.
These mnemonics may be misleading, especially if the user is not aware that multiplication and division are of equal precedence, as are addition and subtraction. Using any of the above rules in the order "addition first, subtraction afterward" would also give the wrong answer.

The correct answer is 9, which is best understood by thinking of the problem as the sum of positive ten, negative three, and positive two.[/quote]

and my favorite:

[quote]
Multiplication and division are the same priority, so you do whichever one comes first first, which is division in this case. The answer is obviously 9.
[b]Source(s):[/b]
5th grade math[/quote]

Don't trust yahoo answers, trust appropriately applied math concepts.

[Arcane]

also, if you're familiar with a bit more basic math...just read my previous post that eliminated the debate for "PEDMAS". Convert the division symbol to multiplication and solve.


If you noticed, everyone that got 1 performed a calculation out of step. They either distributed the 2 (thinking it was an algebraic equation, although had any of those terms turned into a variable...1 would be an answer.) or multiplied first (thinking PEDMAS was a literal order). Edited April 29, 2011 by Arcane

[The Jester]

maybe I simply dont like something called PEMDAS

dont know and dont care anymore, I always did my brackets first and all that stood next to them...

and I hope I wont need this tipe of math for the next 15 years until my kid has to learn math...then ill care

[vendetta_revived]

Okay. Here's how one would right this equation on paper.

[img]http://img339.imageshack.us/img339/7149/unledct.png[/img]

Simple enough now?

[The Jester]

just thought about that on the bus
but Arcane will now reply that only 2 should be belov the line so...

[Zildjian]

i said 9 yesterday when this first got brought up and got blasted. im okay with that, because I lawl at those who do not know their pemdas...

[vendetta_revived]

but 2 is already below the line. :-s

[Arcane]

[quote name='vendetta_revived' timestamp='1304079002' post='507382']
Okay. Here's how one would right this equation on paper.

[img]http://img339.imageshack.us/img339/7149/unledct.png[/img]

Simple enough now?
[/quote]
[quote name='The Jester' timestamp='1304081568' post='507387']
just thought about that on the bus
but Arcane will now reply that only 2 should be belov the line so...
[/quote]


Nope. Because the syntax in which you wrote solves differently than the syntax the forumla was originally presented. You're telling the person to solve via a different method, which would result in a different answer. Edited April 29, 2011 by Arcane

[Arcane]

damn edit time limit.

You essentially wrote 6÷(2(1+2)), which is different than 6÷2(1+2).

[vendetta_revived]

I don't think ways of writing a single equation would affect it's outcome in any manner. "÷" and "/" are both signs of division. So you can write it as 6/2(1+2), and that would be written like the picture on paper.

[Arcane]

I think this explains it best and actually expounds mathematical concepts quite well:

[quote]
I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today.
The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it.
6÷2(3)
(6) ÷(2)(3)
6÷2*3,
or even converting the division to multiplication by a reciprocal (a legal math move)
(6)(1 (over) 2)(3)
are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or
3*3= 9

Just because something is implied rather than written does not give it any special rank in the order of operations.

The problem in it's simplest form, with nothing implied would look like this:
(1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1))
From here, nothing is implied, This again, works out to 9.

If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar.

HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem.

Once and for all, the answer is 9.

Hopefully some of my students see this so I can stop answering this question.

End of debate... hopefully.
[b]Source(s):[/b]
Doctorate, 9 years teaching experience.[/quote]
[url="http://answers.yahoo.com/question/index?qid=20110427155042AACb7d8"]http://answers.yahoo...27155042AACb7d8[/url]


I wonder if I can get Chris to post his mindfuck picture. Edited April 29, 2011 by Arcane

[Arcane]

[quote name='vendetta_revived' timestamp='1304096342' post='507459']
[u][b]I don't think ways of writing a single equation would affect it's outcome in any manner. [/b][/u]"÷" and "/" are both signs of division. So you can write it as 6/2(1+2), and that would be written like the picture on paper.

[/quote]

Think again!

[rhineholt]

[quote name='Arcane' timestamp='1304095761' post='507456']
damn edit time limit.

You essentially wrote 6÷(2(1+2)), which is different than 6÷2(1+2).
[/quote]

lmfao, sorry jay for what i started.
I still have yet to find a teacher to write this all down.

[vendetta_revived]

[img]http://i1197.photobucket.com/albums/aa435/outkastmami305/GIFS/tumblr_lfar88vLju1qzh5j8o1_500.jpg[/img]

[dizzbizz]

In the order of operations, when it says parentheses, it means solve whats IN them. So (2+1) is 3 and then multiply the 2 outside of the parentheses to the 3 to equal 6 then 6 divided by 6 is one.

[Arcane]

Uhhh, nope. Read the process of the order of operations again.

[Arcane]

[quote name='rhineholt' timestamp='1304110210' post='507516']
[quote name='Arcane' timestamp='1304095761' post='507456']
damn edit time limit.

You essentially wrote 6÷(2(1+2)), which is different than 6÷2(1+2).
[/quote]

lmfao, sorry jay for what i started.
I still have yet to find a teacher to write this all down.
[/quote]