Math: 6÷2(1+2) = ?

That video is so goddamn wrong it is a sin. He says parentheses and then ignores them... and to make a public video to show how fucking retarded you are.... the irony is almost too much to bear..

This is how you are supposed to do it, with an explanation of WHY...

Distribute 2 into the parentheses. Why? because it is a factor of the original terms INSIDE them, and cannot be ripped apart. I will show you why:
6 = 4+2 = 2(2+1) = 2(3) The 2 is a common factor of 4 & 2.
No matter which way you view it, the value 6 MUST maintain its value. Just as you cannot take the 4 from (4+2) and divide it into a number with the "+ 2". I cannot take the 2 from 2(2+1) and divide it into another number without the (2+1).
You ARE allowed to distribute before division, or any other operator, since you are allowed to simplify any equation first. There are MANY references which state "Remove parentheses by distribution" Try Googling that as a search term.
6÷2(2+1) = 6÷(4+2) = 1
Now, some people have argued that you don't NEED to distribute the 2; you just add the 2+1, and end up with 2(3). Then they go on the say that this is the same as 2*(3). WRONG! You STILL have parentheses and STILL need to distribute that 2 inside them, for the reasons discussed about factoring above. Therefore you have this:
6÷2(3) and must distribute like this:
6÷2(3+0) = 6÷[2(3) + 2(0)] = 6÷6 = 1
These people who get 9 try and rip the 2 away from the parentheses by inserting a times symbol like this:
6÷2*(3), and then do the division of 6÷2 first. I explained the illegalities of doing this, since the 2 is a factor of the 2+1.
Lastly, 6÷2 is NOT (6/2), as in (6/2)(2+1). This is totally incorrect, since it lacks that parentheses in the original equation. Check any online or written text. Leading fractions as a coefficient ALWAYS have ( ) around them.

I challenge anyone who thinks 9, to solve this:
First, the Identity Law says:
a = 1a = 1(a). That is just a reminder.
Here is my question:

1/1a = ??

it is 9. he did not ignore the parens...

canucklehead.

Yeah!! He said "you've all seen this problem on facebook", WELL NO I HAVEN"T!!!!!

the maths is okay but

Yeah he did. He didn't eliminate them. He solved it like an elementary school kid...

That reflects your IQ rather well

.

Sweet...

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

consider the division symbol 0/0

We are dealing with a fraction

Something
_________

Something



6/2(3)

6
________

2(3)




6
________

6


6/6

1



The solution to this problem is within the symbol. Is the symbol.

Something
_________

Something

=1




Without a shadow of a doubt, the answer is 1. There is no way around it.

You mean like this? :

[link to www.freeimagehosting.net]

I have to give it to the people who didn't put 1. You argued so well but the distribution property is something that I agree with...that's how I got 1.

What level of math did u, brainiacs, take?

I took linear algebra, which is systems of equations.

what is 6 ÷ 2 * 3?

You don't have any parentheses...therefore, the answer is 9. But, that's not the original question.

what is 6 ÷ 2 * (3)?

Engineering.

That would be 9

What is a/1a ?

1

So what is 6/2a ?

what it comes down to is that some people say that the expression is the same as (6 ÷ 2) * (1+2) and some people say that it means 6 ÷ (2 * (1+2))

BUT WHICH ONE IS CORRECT????

george seriously

It means 6 ÷ (2 * (1+2))

This is proven with Distribution Property. Therefore, the parentheses are not required and the initial equation is written 6 ÷ 2(2+1).
Leading fractions absolutely require parentheses as in the example (1/2)n below.

Also proven with common notation, ie,:
1/2n = 1/(2n)
0.5n = (1/2)n or simply n/2

(6 ÷ 2) * (1+2) uses the Distributive Property as well.

Okay - the division symbol could be a fraction bar - but it is not in this case. The fraction bar acts like a set of parenthesis.....so, if the division here is like the fraction bar, then you should have used an set of parenthesis - but you did not. This defaults to PEMDAS and the answer is 9.

Okay - the division symbol could be a fraction bar - but it is not in this case. The fraction bar acts like a set of parenthesis.....so, if the division here is like the fraction bar, then you should have used a set of parenthesis - but you did not. This defaults to PEMDAS and the answer is 9.

WTF. This simple equation took 100 pages to solve and discuss??

6÷2(1+2)

6 / 2(3)

3 * 3

= 9

Basic math. Even learned this in American public schools.

Sure does, only if the original equation had parentheses around the (6÷2) then you would be all set.
FAIL.

that is why you get 9. You only know basic math.

that is why you get 9. You only know basic math.