Math: 6÷2(1+2) = ?

the answer is one. I graduated engineering 12 years ago.

a = 1a

a ÷ a = 1
a ÷ 1a = 1

6 ÷ n = 6/n
6 ÷ 1n = 6/n it is NOT 6 ÷ 1 * n

6 ÷ 2n = 3/n

n = 2+1

Ans: 1

Show me where there is a mistake.

I find it laughable that as soon as you both realized i was right, I became a "troll". It was so obvious when the light came on.

Why are you doing math differently NOW, then when you did those other questions? I can send you the complete website URL for the algebra lessons and the actual test URL.

9

The answer is 42!

I believe it is the teachers that have done this, in your generation, son.

We went to school with not calculators. now all you folks think of math that way you should enter it into a calculator, instead of like a real world problem, and represent a problem with an equation.

Your 6÷2(2+1) would REQUIRE, yes require, parentheses around the (6/2), forcing the (2+1) into the numerator... like:
(6/2)n, otherwise, you have 6/2n, which is, in fact 6/(2n), for the same reason n/1n is always n/(1n), and not n/1*n

Yea I have been out of school for a while too. You remember your high school algebra better than I do.

The reason I am doing it differently than I solved the algebra problems, is because I am solving this correctly.

you cannot treat everything that comes after a ÷ as a denominator of a fraction....

Luckily for me, in my schooling, my teachers never used a ÷ but just wrote out the fractions.

I didn't become aware that teachers were writing out a ÷ expecting their students to treat it as a fraction...

The answer is 9, always will be. I am sorry you cannot learn new things and are so deadset in your ways.

No, I said you were a troll many pages back. The answer is still 9.

Check your work with 1. Go ahead. Check it.

It wont work. You are trolling man.

[link to img202.imageshack.us]

If we were wrong here, then why would you ask us to do a much harder equation? If we cant do this basic one, how could we do anything else.

You are trolling. Plain and simple.

Edit:Typo


Damn it, replied again. Fuck me!

Last Edited by Revguard on 01/17/2013 10:05 PM

No it wouldn't and no it is not. I really hope one day you realize I am write on this. But at least now I understand your confusion.

He is just as frustrated with us as we are with him. He is too deadset in erroneously treating 6÷2(1+2) as 6÷ [2(1+2)].

And I understand why.

Not only did I graduate grade 12 with honors, but I have a bachelors in computer science.

The question is:
6÷2(1+2)=?

That, in a properly normalized and fully expanded form is:
6÷2*(1+2)=y

Now solve it:
2*(1+2)=6y
2*(3)=6y
2*3=6y
6=6y
6/6=y
1=y

Answer is 1.

Prove it by substituting the answer back into the question and resolving it:

6÷2*(1+2)=1

6÷2*(1+2)-1=0
6÷2*(3)-1=0
6÷6-1=0
6÷6-1=0
1-1=0
0=0

It balanced. The answer appears to be correct.

Remember your [link to en.wikipedia.org]
boys and girls...

*
been a long day...

6/2n=?
6=?(2n) [Multiply both sides of equation by 2n]
1=?(2n)/6 [divide both sides of equation by 6]
1=?(2X3)/6 [here is where the raw logic comes it]
1=?(6/6)


1=?
n=3

Now, verifying we re enter the numbers into the original equation

6/2n =?
6/(2X3)=1
6/6=1

Have a nice day and suck my balls, asshole.

There is NO other correct answer to this question and the fact that it has unknowns on both sides of the equation DOES NOT preclude it's being solved using simple logic.

Look at any book. All fractions used as coefficients use
6n
2

or

(6/2)n

therefore, to distribute 6/2, you would NEED parentheses around it. Otherwise, you distribute the 2 into the parentheses, which is called "Eliminating parentheses by distribution". It is not performing multiplication operator, since it is a "property" of math, ie, equality, and you are REPLACING, not multiplying. This is where other people are confused. They think "distributive property" is bound to the order of operations as part of multiplication. It is not.
So,
What do we have?
2(2+1) is 2 quantities, or groups, of 2+1.
In English, "I have 2 bags, with 2 apples and 1 orange in each bag." ie, 6 pieces of fruit.
Therefore 2(2+1) = [(2+1) + (2+1)]

6 ÷ [(2+1) + (2+1)] = 1
Ans: 1

Back to 6 ÷ 2n = 3/n. n = 2+1.
Ans: 1 again.

Distribute:
6 ÷ 2(2+1) = 6 ÷ [2(2) + 2(1)]
6 ÷ 6 = 1

If I add the 2+1 first, i STILL have to distribute, using the Identity Law of a+0 = a
6 ÷ 2(2+1) =
6 ÷ 2(3) = Here, I still have parentheses with a coefficient, so I can still distribute like this:
6 ÷ 2(3 + 0) Here I used the identity law to make it clear
6 ÷ [2(3) + 2(0)]
6 ÷ 6 = 1

No matter what math laws, rules, axioms, or properties are used, you always get ONE if you apply the rules correctly, which is the great thing about math, there is only ONE correct answer for simple equations like this one.

n= 1/3

Is the correct way to solve for n...

Well, let me refresh your memory on that one:

[link to cstl.syr.edu]

This is how you do algebra without calculators.

6÷2(1+n) When you want to eliminate the parentheses by distribution, are you first going to distribute the 2 or divide 6 by 2? obviously divide 6 by 2.

Now why would you put the (1+n) in the denominator? If it is supposed to be there it should be written there in a fraction or be power to ^-1

I noticed how you changed the equation so that it equals 9. I am not arguing that 6 ÷ 2 TIMES (1+2) = 9, because it does.

6 ÷ 2 * n = 3n
6 ÷ 2n = 3/n

a ÷ 1 * a = a^2
a ÷ 1a = 1

If anyone here thinks a ÷ 1a = a^2, you fail not only at math, but in life, because not only does the math work, so does common sense.

I am confused. You proved me correct. n = 3 = 2 + 1
Answer = 1, also correct

Why did you tell me to suck your nutsac ?

No. You need n to = 1/3 to make your equation work. But you cant show a valid proof. Anyone can type horseshit, but horsepucky is still an F-, yeah that's right, not just an F, but an F-

You have a point, that is how it is always... now I think it has been erroneously so... obviously that seems very unlikely now doesn't it?

I need to speak with someone with a PhD in mathematics... I am calling my friend.

You know what I am doing. I already wrote it out. You think I am wrong but you know how I got there...

The answer depends not only upon the relative precedence of multiplication/division, parenthesation, and addition/subtraction, but also on whether a left to right rule is in force in the evaluation of operations of the same precedence.

For instance, if one assumes that operations of the same precedence are evaluated left to right, and parenthesized expressions are evaluated first, the evaluation proceeds as:

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

If operations of the same precedence are evaluated right to left, and parenthesized expressions are evaluated first, the evaluation proceeds as:

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

Actually one could get two separate and correct answers for this equation entering two values for n and getting a different integer value for ?

To explain instance, if n was =1 ,? would be =3 (integer, correct solution) and if n=2 , ? =1.5 (incorrect solution)and if n=3 ,? =1(correct solution), if n=4 then ?= 6/8 (incorrect solution) , if n=5 then ? =6/10 (incorrect solution and simply results in a smaller fraction for the value of ? (or decimal) the larger the value if n gets. For instance, if n=6 ,? =1/2, and if n=7 ?= 3/7 and if n=8 ? = 3/8 , so there are actually two solutions which result in integers as results for both ? and m[/b[, if n=1, ?= 3 and if n=3, ?=1. There are two solutions but it IS NOT a linear equation nor is able to be plotted since no answer besides 1 or 3 for ? results in an integer for n

I wasn't talking to you, I hate math. There are actually two answers , see my last post

Also folks nowadays think they must convert into operators, such as 2n = 2*n
Well, 2n is a single unit, and yes, it is evaluated as 2 * n, however, it is STILL a single unit, and must be treated like the following:

2n = (2n) = (2*n)

2 is a quantity here. I have 2 n's. Like 2 cars. I don't say " I have 2 times cars"
A carton of eggs, or a dozen eggs: 12 eggs.
A mole of carbon: 6.022x10^23 atoms
24g ÷ 1mole of carbon
24g ÷ 6.022x10^23 and NOT (24 ÷ 6.022) x 10^23

HORSE PATTIES

I sure do. You are doing it WRONG. I just showed you like 3 or 4 ways with math proofs. Alas, you ignore the laws of math to get your little 9. Enjoy.

No there are not. I am either right, or he is.

And considering Occam's razor that means he probably is...

There would have had to have been too many math professors writing problems on worksheets wrong.

Unless it is only because you treat variables wrong, treat them with implied parentheses... which we actually do, you can't separate the coefficient of an x variable and multiply it with the coefficient of a y variable even when they are in the same factor...

I know, you have a point. You did. But variables are treated with implied parentheses...

Can you read? I explained why you cannot divide first.
It is on the right side of the obelus, hence it ALREADY IS ^-1 Do I have to show you the math basics too??
6 ÷ 2n = 6 * (2n)^-1

If I wanted (2+1) to be in the numerator, I would write:
6(2+1)÷2

How basic is that?

Yes, agreed 100% with you here. As I said variables have implied parentheses.