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# Math: 6÷2(1+2) = ?

Anonymous Coward
User ID: 1309528
United States
05/03/2011 08:48 AM
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Re: Math: 6÷2(1+2) = ?
I think people need to go back to middle school and learn about FRACTIONS.
Anonymous Coward
User ID: 1313368
United States
05/03/2011 08:48 AM
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Re: Math: 6÷2(1+2) = ?
Anonymous Coward
User ID: 1309528
United States
05/03/2011 08:48 AM
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Re: Math: 6÷2(1+2) = ?
there was no calculators back in my time, ppl actually had to think, well, actually there was but they were somewhat banned. no technology for you!

Now everyone just puts what ppl ask them in google/calculator/whatever and whatever it shows its right.
So yeah, Osama only got killed now ppl, its in the net so it must be true!!!

Try to start using your brains ppl

oh and = 1
Quoting: Anonymous Coward 1366337

oops
Anonymous Coward
User ID: 1147405
United States
05/03/2011 08:50 AM
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Re: Math: 6÷2(1+2) = ?
...

Well, at least I spell better than you... allot? Perhaps you meant a lot? Moran
Quoting: Anonymous Coward 1147405

ALLOT of people spell better then me, perhaps if English were my first language I might do better.
Quoting: Anonymous Coward 1309528

So you are assuming that English is my first language too? Oh, how silly we are to assume every anonymous person on the internet is the same as we are. lol
Quoting: Anonymous Coward 1147405

I still think your probably an idiot.
Quoting: Anonymous Coward 1309528

That would be "you are" or "you're"... you intellectual midget. Moran
Anonymous Coward
User ID: 1309528
United States
05/03/2011 08:50 AM
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Re: Math: 6÷2(1+2) = ?
Good Grief, The answer is 1, not 9... Did you people sleep through school?

6÷2 = 3
1+2 = 3
3÷3 = 1
Quoting: Lost Patriot

Did you even go to school?
Anonymous Coward
User ID: 1314600
05/03/2011 08:50 AM
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Re: Math: 6÷2(1+2) = ?
IQ > 140 here

It is Nine.
Anonymous Coward
User ID: 1306057
Russian Federation
05/03/2011 08:50 AM
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Re: Math: 6÷2(1+2) = ?
1 or 9, depending on your country. In Russia it is 9. Because in Russia dividing and multiplaying are of the same level and being solved left to right. Fortunately we do not have a confusing PEMDAS...
Opinionated2

User ID: 1190661
Australia
05/03/2011 08:50 AM
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Re: Math: 6÷2(1+2) = ?
1 is the answer if you use BODMAS

6/2(1+2)

6/2(3)

6/6 = 1
----------------------------------------------------
9 is the answer if you translate the problem thus

(6 / 2) * (1 + 2)

3 * 3 = 9
=====================================================
Therefore finally proving that 1 = 9

Multiply this by the number of dollars in your wallet and bank account and CONGRATULATIONS

On paper you are 9 times wealthier than you thought!

But

With only the spending power of you, when you, thought the answer was 1...lol

You little conundrum, you...lol

Oh and I can't even spell IQ, let alone possess one...lol

The real answer though is either 9/1 or 6/6 and I can't do those calculations, I am a Maths Majorette, but I have nice nails...lol

Last Edited by Opinionated2 on 05/03/2011 09:09 AM
Anonymous Coward
User ID: 1309528
United States
05/03/2011 08:51 AM
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Re: Math: 6÷2(1+2) = ?
...

ALLOT of people spell better then me, perhaps if English were my first language I might do better.
Quoting: Anonymous Coward 1309528

So you are assuming that English is my first language too? Oh, how silly we are to assume every anonymous person on the internet is the same as we are. lol
Quoting: Anonymous Coward 1147405

I still think your probably an idiot.
Quoting: Anonymous Coward 1309528

That would be "you are" or "you're"... you intellectual midget. Moran
Quoting: Anonymous Coward 1147405

This is too much, your probably so right, im too /stupid/ to learn gramarh. Whatever am i going to do.
Anonymous Coward
User ID: 1313368
United States
05/03/2011 08:53 AM
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Re: Math: 6÷2(1+2) = ?
Good Grief, The answer is 1, not 9... Did you people sleep through school?

6÷2 = 3
1+2 = 3
3÷3 = 1
Quoting: Lost Patriot

Did you even go to school?
Quoting: Anonymous Coward 1309528

Actually I just remembered that when you have 6÷2(1+2).. You multiply what's inside the brackets to the answer not in the brackets.. My apologies, first cup of coffee..

The answer IS 9, I have no problem admitting my mistakes.. Fuck, I learned this shit in 7th grade algebra.. Duh... And still use it today to figure out materials and concrete...
NTimes

User ID: 1244135
05/03/2011 08:53 AM

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Re: Math: 6÷2(1+2) = ?

Mnemonics

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 that multiplication and division have the same weight, and addition and subtraction have the same weight. Doing multiplication before division, can give the wrong answer. So can doing addition before subtraction. Some grade school books teach this incorrectly. For example: 6÷2×3 = 9, not 1. 6-2+3 = 7, not 1.

Hey, hey, hey, hey-now. Don't be mean; we don't have to be mean, cuz, remember, no matter where you go, there you are. - Buckaroo Banzai:
Anonymous Coward
User ID: 1368005
Estonia
05/03/2011 08:54 AM
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Re: Math: 6÷2(1+2) = ?
6+2+1+2=11

WAKE UP!

Anonymous Coward
User ID: 1304583
United States
05/03/2011 08:54 AM
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Re: Math: 6÷2(1+2) = ?
Multiplication and Division left to right at the same time!

The standard order of operations, or precedence, is expressed here:

terms inside parenthesis
exponents and roots
multiplication and division

This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.

It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 &#8722; 4 = 3 + (&#8722;4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.

The root symbol, &#8730;, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.

Stacked exponents are applied from the top down.

Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.
Anonymous Coward
User ID: 761437
United States
05/03/2011 08:56 AM
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Re: Math: 6÷2(1+2) = ?
my calculator's answer for this is -and I quote

"malformed expression"
Anonymous Coward
User ID: 1313368
United States
05/03/2011 08:57 AM
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Re: Math: 6÷2(1+2) = ?
6+2+1+2=11

WAKE UP!

Quoting: Anonymous Coward 1368005

Anonymous Coward
User ID: 1368114
United States
05/03/2011 08:57 AM
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Re: Math: 6÷2(1+2) = ?
Anonymous Coward
User ID: 1368005
Estonia
05/03/2011 08:58 AM
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Re: Math: 6÷2(1+2) = ?
6÷2(1+2)=

6÷2*3=

3*3=9

6+2+1+2=11

911=9+1+1=11

WAKE UP!

Anonymous Coward
User ID: 1338978
05/03/2011 08:58 AM
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Re: Math: 6÷2(1+2) = ?
Alright, there's a lot of self-proclaimed experts around these parts. Let's see how your logic holds up against some basic mathematics.

6÷2(1+2) = ?

I'll give two hints. This is NOT a trick question, and there is only 1 correct answer.

All tools used for computation are fair game.

(Yes, I saw this somewhere else and decided to post it here.)

Best of luck to all you geniuses .
Quoting: Syrius

1
oniongrass

User ID: 1193082
United States
05/03/2011 08:59 AM
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Re: Math: 6÷2(1+2) = ?
1 or 9, depending on your country. In Russia it is 9. Because in Russia dividing and multiplaying are of the same level and being solved left to right. Fortunately we do not have a confusing PEMDAS...
Quoting: Anonymous Coward 1306057

This. We didn't have PEMDAS either in the USA when I went to school.

In a respectable setting, it would be clarified with parens whether one does the multiplication before the division (since there's a bias toward that), or works left to right and therefore the reverse in this case.
Syrius (OP)

User ID: 1289074
United States
05/03/2011 09:00 AM
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Re: Math: 6÷2(1+2) = ?
Multiplication and Division left to right at the same time!

The standard order of operations, or precedence, is expressed here:

terms inside parenthesis
exponents and roots
multiplication and division

This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.

It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 &#8722; 4 = 3 + (&#8722;4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.

The root symbol, &#8730;, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.

Stacked exponents are applied from the top down.

Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.
Quoting: Anonymous Coward 1304583

Fascinating. Wikipedia <3

So where does it say I should put the denominator 2(1+2) up there with the numerator 6?
All around me are familiar faces... Worn out places...Worn out faces...
DanG
User ID: 1104571
United States
05/03/2011 09:01 AM
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Re: Math: 6÷2(1+2) = ?
solve INSIDE the parens 1st
6÷2(3)

then left to right
6÷2 = 3

3 * 3 = 9

gawd, I'm 56 years old !
Anonymous Coward
User ID: 1302349
05/03/2011 09:02 AM
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Re: Math: 6÷2(1+2) = ?
1 is my final answer. It's a piece of cake.
ANNONYMOUS
User ID: 1275893
United States
05/03/2011 09:02 AM
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Re: Math: 6÷2(1+2) = ?
÷

The two dots, guys. Think.

Side*note: A lot of you are relying on technology but inputting the equation incorrectly.
Quoting: Syrius

What the OP is telling you is the problem actually creates a FRACTION! A FRACTION has two parts the NUMERATOR and DENOMINATOR! Each part is dealt with on an individual basis not as a whole! Then you solve the problem! You calculator/computer tards don't even realize this is happening to you! THE ANSWER IS 1!
Anonymous Coward
User ID: 1362610
Spain
05/03/2011 09:05 AM
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Re: Math: 6÷2(1+2) = ?

6÷2(1+2) = (6 ÷ 2) * (1 + 2) = 9

Please Excuse Me Dear Aunt Sally

PEMDAS

I changed my mind because when on a same level you must work left to right. I missed it.

6÷2*3

left to right (same level) 3*3

So yes, it is 9.

damn
Anonymous Coward
User ID: 1194370
United States
05/03/2011 09:06 AM
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Re: Math: 6÷2(1+2) = ?
Fascinating. Wikipedia <3

So where does it say I should put the denominator 2(1+2) up there with the numerator 6?
Quoting: Syrius

lol... It doesn't.

But one can examine the expression and see that the notation is horrid and leads to ambiguity and confusion of implied ordering of operations.

If you intend the solution to be [1]. You should force the ordering by removing the ambiguity from the expression
Syrius (OP)

User ID: 1289074
United States
05/03/2011 09:06 AM
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Re: Math: 6÷2(1+2) = ?
... You guys realize this is the same equation as 6/2(1+2) ?

Might be too early.
Quoting: Syrius

All around me are familiar faces... Worn out places...Worn out faces...
ANNONYMOUS
User ID: 1275893
United States
05/03/2011 09:08 AM
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Re: Math: 6÷2(1+2) = ?
Multiplication and Division left to right at the same time!

The standard order of operations, or precedence, is expressed here:

terms inside parenthesis
exponents and roots
multiplication and division

This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.

It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 &#8722; 4 = 3 + (&#8722;4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.

The root symbol, &#8730;, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.

Stacked exponents are applied from the top down.

Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.
Quoting: Anonymous Coward 1304583

Fascinating. Wikipedia <3

So where does it say I should put the denominator 2(1+2) up there with the numerator 6?
Quoting: Syrius

Syrius, using the mult inverse is simply a more complicated method for solving a very simple problem. The answer either way is 1!
Anonymous Coward
User ID: 1327341
South Africa
05/03/2011 09:09 AM
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Re: Math: 6÷2(1+2) = ?
9 or 1?

Substitute the parenthesis with y and work out y backwards using the two different answers. When y = 3, we have a winner.
6÷2y = ?

Firstly, if the answer is 9;
6÷2y = 9;
3÷y = 9;
y = 3÷9;
y = 0.3333333333 recurring, which is not (1+2)

Secondly, if the answer is 1;
6÷2y = 1;
3÷y = 1;
y = 3÷1;
y = 3 which is (1+2)

Anonymous Coward
User ID: 1269035
United States
05/03/2011 09:10 AM
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Re: Math: 6÷2(1+2) = ?
÷

The two dots, guys. Think.

Side*note: A lot of you are relying on technology but inputting the equation incorrectly.
Quoting: Syrius

What the OP is telling you is the problem actually creates a FRACTION! A FRACTION has two parts the NUMERATOR and DENOMINATOR! Each part is dealt with on an individual basis not as a whole! Then you solve the problem! You calculator/computer tards don't even realize this is happening to you! THE ANSWER IS 1!
Quoting: ANNONYMOUS 1275893

The (1+2) is done first inside the paranthesis. The outside division of 6 / 2 is done on its own second. Then the answer to the 6/2, which is 3 is then multiplied by the (3) giving you 9. Done and done and done...

Anonymous Coward
User ID: 1362610
Spain
05/03/2011 09:10 AM
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Re: Math: 6÷2(1+2) = ?
Syrius, using the mult inverse is simply a more complicated method for solving a very simple problem. The answer either way is 1!
Quoting: ANNONYMOUS 1275893

I thought so to at first but forgot that multiplication and division are at the same level, in which case you MUST work left to right.

A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This tells you the ranks of the operations: Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. For instance, 15 ÷ 3 × 4 is not 15 ÷ 12, but is rather 5 × 4, because, going from left to right, you get to the division first. If you're not sure of this, test it in your calculator, which has been programmed with the Order of Operations hierarchy.