Math: 6÷2(1+2) = ?

Wrong, because with your equation the way it is written, the operation in parenthesis must be done first, followed by the operation farthest to the left. There are no exceptions.

This thread is so funny, I shouldn't waste time reading it but it's entertaining.

I would really like to know if there is an age split between the onetards and the ninetards.

I am a ninetard and the first time someone said "it should come out the same if you work it backward" I worked it backward and came out with NINE. NINE NINE NINETARDS RULE

Is it that we went to school before it all went to hell? I was just in the nick of time I think. Was in grade school in the 1960s.

You just made that rule up. I provided the rules for you. If you don't believe me look it up. [link to www.math.com] Unfortunately you don't make the rules. The answer is 9 if you use the order of operations, which do NOT read like this.

Rule 1: First perform any calculations INSIDE parentheses.
Rule 2: Multiply numbers in front of parentheses.
Rule 3: Next perform all MULTIPLICATIONS AND DIVISIONS, working from LEFT to RIGHT.
Rule 4: Lastly, perform all additions and subtractions, working from left to right.

You are making up your own rules.

I'm a 1-tard.

What do i do with my 2-tard bumper sticker from the ohter thread?

{dubbapost}

Last Edited by 12000Eyes on 05/04/2011 01:22 AM

I'll humor you with a response, merely because I enjoy helping people expand their horizons. If you want to check the validity of my statement, browse through the first 15 pages.
It's all there.

You just made that rule up. I provided the rules for you. If you don't believe me look it up yourself. [link to www.math.com] The rules do NOT say.

Rule 1: First perform any calculations INSIDE parentheses.
Rule 2: If a number is in front of the parentheses, you must multiply that number first before you do any other operation
Rule 3: Next perform all MULTIPLICATIONS AND DIVISIONS, working from LEFT to RIGHT.
Rule 4: Lastly, perform all additions and subtractions, working from left to right.

You can't just make up your own rules. If that is a rule please provide the link.

You just made that rule up. I provided the rules for you. If you don't believe me look it up yourself. [link to www.math.com] The rules do NOT say.

Rule 1: First perform any calculations INSIDE parentheses.
Rule 2: If a number is in front of the parentheses, you must multiply that number first before you do any other operation
Rule 3: Next perform all MULTIPLICATIONS AND DIVISIONS, working from LEFT to RIGHT.
Rule 4: Lastly, perform all additions and subtractions, working from left to right.

You can't just make up your own rules. If that is a rule please provide the link.

FROM PAGE 33:

This next example displays an issue that almost never arises but, when it does, there seems to be no end to the arguing.

Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.

16 ÷ 2[8 – 3(4 – 2)] + 1
= 16 ÷ 2[8 – 3(2)] + 1
= 16 ÷ 2[8 – 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1".

That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by".

That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is Typesetting the entire problem in a graphing calculator verifies this hierarchy:

calculator screen-shot: 16 / 2(8) = 1, but 16 / 2 * 8 = 64

Note that different software will process this differently; even different models of Texas Instruments graphing calculators will process this differently.

In cases of ambiguity, be very careful of your parentheses, and make your meaning clear.

The general consensus among math people is that "multiplication by juxtaposition" (that is, multiplying by just putting things next to each other, rather than using the "×" sign) indicates that the juxtaposed values must be multiplied together before processing other operations.

But not all software is programmed this way, and sometimes teachers view things differently.

It's 9! Some of you are getting way too complicated and throwing in distribution and confusing equation rules and all sorts of silly things.
6÷2(1+2) = 9

Everyone seems to agree that you must do parentheses first. Good! That results in 6÷2(3)

6÷2(3) is the same thing as 6÷2x3 which is solved left to right.

6÷2 = 3 and 3x3 = 9

However...

OP and others have changed the problem by writing it as;

6
_____ = this is actually 1

2(1+2)

In math, how you write the problem can change everything.
The above division problem is NOT the same as 6÷2(1+2).

This is the same as the division problem 6÷[2(1+2)]= 1

In this case, you do parentheses first 6÷[2(3)]
Then brackets 6÷[6] which is 6÷6
The multiplication and division left to right 6÷6 = 1

But... how OP originally wrote the problem, 6÷2(1+2)= ? results in 9.

You just nailed it.
And who do you think is right?
This was dome intentionally.
My sons teachers were telling him there were more than one correct answer to simple algebra equations and refusing to teach them the basic associative principle.

What we see here is the direct result of a systematic dumbing down that has apparently succeed, resulting in a generation of people who's analytical processes have been nearly totally eliminated.

The fact that there are at least 3 main different answers that various groups are positive is the answer and are defending vehemently with a variety of mathematicians 'rules', it is likely the result of them being taught different 'rules' intentionally so that there is no consensus between the older, wiser, pre dumbing down individuals, and the crap the schools shoveling now.

My generation built the world you see around you, and now that we are growing older I seriously doubt any of this younger generation will be able to do anything but use machines. Look around you at what the dumbing down has accomplished.

parentheses outrank division

to eliminate parentheses you must finish the equasion within and the factor when present

2(3)

the factor two is attached to the parentheses and must be dealt with FIRST to eliminate the parentheses, no matter what else is there in the overall equasion.

*I will not compromise on this issue, in 1974 the answer was 9 and in 2012 it had damned sure better be or something horrible has happened to you

I can assure you whole-heartedly that 1974 was a grand year. However, this doesn't change the equation that was presented or its comprehensible answer of 1.

BS! 2(3) is 2x3

Solve left to right 6÷2x3 = 9

With this logic I can deduce in your reality that having sex with condoms and without presents the same end result.

Holy shit, you guys are still doing this?
Go to sleep.

6÷2(1+2)Does not equal.
__6__
2(1+2)

I'll solve both.

6÷2(1+2)
6÷2(3)
3(3)
9

__6__
2(1+2)
_6_
2(3)
6
6

They are different.

1. First do all operations that lie inside parentheses.
2. Next, do any work with exponents or radicals.
3. Working from left to right, do all multiplication and division.
4. Finally, working from left to right, do all addition and subtraction.

My answer was "1".

1 is correct.

6÷[2(1+2)] for clarity - this is how it should have been presented - still it is not debatable. parentheses first including any factor present takes precedence over the left to right rule.

If you agree you must clear parentheses first you must agree that here

6÷2(3)

the parentheses are still there - to remove them we must multiply what is between parentheses FIRST before we do anything else (because there is a factor in front of the parentheses!)

6÷6 = 1 is your answer

what about this: 6÷(1+2)^2 = ?

according to your reasoning this would be 36 ÷ 3 = 12 ?

well it isn´t

it´s 6 ÷ 9 = 0.67

6/2(1+2)=9

If we were to follow your silly rule then there would always be something in front of the parentheses due to the invisible 1. You are insisting on distribution when it is not called for. The only way you can get 1 is to write it as 6÷[2(1+2)] or;

6
_______

2(1+2)

This is so easy. Parenthesis are always first. The answer is one. To everyone who got this wrong and is not willing to accept that you made a mistake, you are the reason china is going to plunder our villages and rape our women.

Yes, and the factor is 6/2.

Not 2

You are a dumbed down moron and god help anyone that has to depend on your abilities.

6÷2(1+2) Does not equal.
__6__
2(1+2)

I'll solve both.

6÷2(1+2) = 6÷2(3) = 3(3) = 9

__6__ _6_ 6 equals 1
2(1+2) 2(3) 6

1. First do all operations that lie inside parentheses.
2. Next, do any work with exponents or radicals.
3. Working from left to right, do all multiplication and division.
4. Finally, working from left to right, do all addition and subtraction.

I have aced ALL of my college math courses through masters level. You, however, seem to be completely confused by basic low level algebra.

1

ITT: people not really knowing order of operations.

Also this exact problem has been posted on other forms, enjoy being someones test subjects.

What is inside parenthesis is done first.


In this simple equation, the next process of addition, multiplication , addition or subtraction is completed next.

The correct answer is 9.