Math: 6÷2(1+2) = ?

The answer is 1.

You sure did. Not writing them in your next step is not eliminating them.
Student to teacher: "The math property I used in solving this equation was to just not write stuff from the previous step"

Teacher: "Fail"

Anyone who can read, please enlighten yourself with the above.
Here is the link: [link to www.hoyletutoring.com]

It is not just what is inside parentheses (which is what kids first learn)...

As in the above:
6÷2(1+2) = 6 ÷ [2(2) + 2(1)] = 6 ÷ (4 + 2) = 1

You point to a guy who has a BA in music to prove your point NICE [link to www.hoyletutoring.com]

Anyway in Canada they now teach the BIDMAS Systems not PEDMAS to elementary school kids as the PEDMAS is flawed as per the above example

The Answerr is 9

You get 9 because you know elementary school maths.

I was never taught any mnemonic. I was taught order of operations, factoring, algebra, calculus, etc...

How about these refs then?:

"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."
[link to en.wikibooks.org]

Distribute BEFORE "pedmas" AND use with numbers, possible used to REMOVE parentheses too. [link to www.algebra.com]

Get Rid of parentheses with Distribution:
[link to www.helpalgebra.com]

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.
[link to www.jamesbrennan.org]

These guys got it right, they use "Parentheses" in the order of operations to require Distributive Property.
Ref: Purplemath
[link to www.purplemath.com]

There is nothing left to do with (3)

You cant just make something up.

The correct answer is 9. Multiplication and division take precedent over addition and subtraction. HOWEVER, multiplication and division are of equal precedence, as are addition and subtraction.

To show the work it would be:
Parenthesis first (1+2)=3
So now we have 6 divided by 2 times 3
Since division and multiplication are of equal precidence work left to right:
6 divided by 2=3
Now we are left with 3*3=9.

The confusion seems to be with how we are taught at a very young age. We are all taught things like PEMDAS, BEDMAS or BIDMAS and we forget that multiplication and division are equal as are subtraction and addition.

To me its 1


[]

Irrespective of who is right or wrong just the fact the education system is so flawed we can't even agree on the answer to a simple elementary school (Primary school for UK / Aus folks) question tells me we have a serious problem in our society.

oh and the answer is 9

Sure there is. (3) is equivalent to 3 is it not? So you can eliminate the parentheses, and change (3) to 3.

Exactly!!!

So 3(3) = 9!

Did no one read the references? The 9's start ignoring references, yet keep pleading 9, with nothing to back it up...

LOL excel say = 9

put this in a cell of the worksheet:

=6/2*(1+2)

[link to answers.yahoo.com]

Multiple people with PHD's in Mathematics say 9. I get your music teach said 1 but hey I pay my kids music teacher $20 an hour and the folks with the PHD in math get $200 an hour

Just saying

oh and the answer is 9

you get 1 if you set this:


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

That isn't the question though. I bet excel won't even accept 6÷2(1+2)
Do you know why? Because no one taught excel how to use the distributive property.

Which people? Do they ALL say 9 ? No one with a PhD say it is 1? I have math book references that are written by 2 guys with PhDs in mathematics, and they say 1/2n = 1/(2n). In that case then, 6/2a where a = 2+1 = 1.

You get 9 if and ONLY if you set this:

(6÷2)(1+2)

Back in the Stone Age, when all we had to cypher were fingers, toes, twigs & pebbles (too young for rocks & sticks), the Cave Elder sketched it out thus:

||||||
===
| || . | ||

and

|||||| / | || . | ||

Never did teach us any of the magic words Pedmas, Bidmas, Ladymas... Although there was a fireside story about a Chief SoCaToA or some such...

The brackets were removed when you solved the equation in parentheses

so it was 6÷2*3

but you have to now solve left to right

And PEMDAS IS WRONG

and algebra and distributive property are not relavent here because we are not doing algebra

OK so lets do it your way

6÷2(1+2)= ?

is not the same as

6
-----
(2+4)

You are confusing fractions with division

It is 9 you fucking retards!

6÷2(1+2) = n

6÷2(3) = n

6÷6 = n

1 = n


Where is my cookie, damn it?

11teen

That is so fucking wrong it is frustrating. Certain math rules apply to numbers, and some to variables, but not both !??! LOLOLOLOLOLOLOLOL!!! You have just been banished from this thread !!

how about this?

[link to www.wolframalpha.com]

[link to www.wolframalpha.com]

the plus signs got mangled up somehow, so change in the orange box where it says "(1 2)" to "(1 + 2)".

32057798 is a dumbfuck and will never even try to understand this so all I can say is

The answer is 9

Find anyone with a PHD in Math and Science who says the answer is 1.

Background:

We need to understand parentheses, order of operations, simplifying equations, and factoring before attempting the problem:

What is factoring? It is removing a common factor from a SET OF TERMS. For example:
4+2, a common factor is 2.
Let's factor the 2 from (4+2), then we have 2(2+1). The 2 is STILL PART of the 2 terms inside the parentheses. You cannot use it with an operator without the rest.

Now, order of operations state Parentheses first. Do we only solve what is inside, or can we use the factored term too? Well, as you saw where the 2 comes from, it MUST go back inside. This is called the distributive property. The distribute property can be applied to any equation WITHOUT changing the value or structure. It is an equality statement, and it not part of the solving process, therefore not bound by the "order of operations". Here are the refs for "Removing parentheses using distribution":
[link to www.purplemath.com]
[link to math.about.com]
[link to www.helpalgebra.com]
[link to www.algebra.com]
[link to en.wikibooks.org]

Simplifying equations can also be done before starting order of operations. Eg,
2(2+1) + 3(2+1) = 5(2+1)
Notice how I added the 2 & 5 before solving any parentheses. This is part of the simplifying process.

When we start executing operators, we have to follow the order of operations.

Math properties and laws and axioms ALL use variables in their respective proofs. This means they hold true for any number, thus, the silly statement that "you can't that rule here because you have a number and no variables" is absurd.

All of the above is common math knowledge in every algebra book.

Lastly, fractions as coefficients ALL have parentheses around them. Look in any text or online math PDF. there are no parentheses around the (6÷2) in this case.

All that said:
6÷2(2+1) apply distribution to get:
6÷(2(2) + 2(1)) =
6÷(4+2) = 1

how about this?

[link to www.wolframalpha.com]

[link to www.wolframalpha.com]


Ask the almighty wolfram if 2n/2n = 1