View Poll Results: 6÷2(1+2) equals what? |
1
|    | 45 | 47.37% |
7
|    | 1 | 1.05% |
9
|    | 47 | 49.47% |
No idea
|    | 2 | 2.11% |  | | | 
03.06.2011, 13:05
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| | Re: 6÷2(1+2) equals what exactly
OK, it's time to end this, with the open minded winning over the stubborn, in a debate and conclusion already drawn up by the mathematicians.
So, deal with it everyone.
The question was designed to confuse. It was a mathematical question written by a non mathematician, who got the syntax wrong. (I am not saying it was the Op, but the question has been around for a long time.)
This confusion forces ambiguity, which means 2 or more answers are correct.
I am off to play some Pool at Billiardino should anyone want to play with me.
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03.06.2011, 13:09
| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | OK, it's time to end this, with the open minded winning over the stubborn, in a debate and conclusion already drawn up by the mathematicians. | | | | | You've lost. No one agrees with you. Even the people on the poll who said 1 are changing their minds. You seem unable to. | Quote: |  | | | The question was designed to confuse | | | | | No, it's a question which confuses people who don't know. Like "what is the capital of France?" Some people say "India". They're wrong. | Quote: |  | | | It was a mathematical question written by a non mathematician, who got the syntax wrong. | | | | | The syntax is perfect and standard. | Quote: |  | | | This confusion forces ambiguity | | | | | Only you and others who don't understand primary school maths are confused.
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03.06.2011, 13:12
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | You've lost. No one agrees with you. Even the people on the poll who said 1 are changing their minds. You seem unable to.
No, it's a question which confuses people who don't know. Like "what is the capital of France?" Some people say "India". They're wrong.
The syntax is perfect and standard.
Only you and others who don't understand primary school maths are confused. | | | | |
Did you read my link to the Maths Forum ? No, you didn't , did you ?
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03.06.2011, 13:14
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | That would make it 9 then. | | | | | | Quote: | |  | | | BODMAS
I shall remember this thread, next time I am having some intelligent discussion over here. | | | | | | Quote: | |  | | | It would indeed. The answer is 9. | | | | | Definitely 9. (I got a grade 1 in maths) | 
03.06.2011, 13:19
| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | Definitely 9. (I got a grade 1 in maths)  | | | | | Did you not take higher?
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03.06.2011, 13:22
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| | Re: 6÷2(1+2) equals what exactly
I can't believe nobody can anwer whether 6÷2(1+2) is (6÷2)(1+2) or 6÷(2(1+2)).
This thread should not be that long.
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03.06.2011, 13:24
| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | I can't believe nobody can anwer whether 6÷2(1+2) is (6÷2)(1+2) or 6÷(2(1+2)).
This thread should not be that long. | | | | | It's been answered. Just some people refuse to listen
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03.06.2011, 13:25
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | It's been answered. Just some people refuse to listen | | | | | Well, that does not help me having trust in science people running the world...
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03.06.2011, 13:25
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | It's been answered. Just some people refuse to listen | | | | | I'm sorry. I didn't hear that... | 
03.06.2011, 13:33
| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | Well, that does not help me having trust in science people running the world... | | | | | Me either Faltrad....me either....smh
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03.06.2011, 13:37
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | ...... who got the syntax wrong. .....This confusion forces ambiguity, which means 2 or more answers are correct. | | | | |
I think this does sum it up.
There are two answers.
1. If you understand what was implied with the wrong syntax
2. If you answer the problem as stated. (correct answer  )
Similarly: If a person not familar with geometry asked:
What is the formular for the perimeter of a square?
If by square they meant rectangle and 'wrote the syntax wrong', the answer they'd be looking for is side-length times two plus side-width times two.
But the proper (correct answer  ) answer to the question is: side-length times four.
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03.06.2011, 13:38
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | That's (one of the places) where you're wrong, lad.
I could show that expression to any of my mathematician colleagues, I could type it into any computer programming language I know, and would get the same answer back, because we are all agreed on the rules for interpreting strings of arithmetic symbols. If you don't know the standard order of operations - or if you have some reason to suspect that the writer of the expression doesn't know them - then there is some room for doubt as to the intended answer. If I knew a seven-year-old had written this I might question what he meant the answer to be, because most seven-year-olds don't know the order of operations or apply it perfectly.
Subject to the standard rules though, (and seriously, they are standard,) there is no ambiguity. | | | | |
The guys on the Math forum disagree. The question was designed to confuse, having been written incorrectly. A mathematician would not write it that way. The standard way is not that way, hence the ambiguity in the non standard written form.
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03.06.2011, 13:42
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | I think this does sum it up.
There are two answers.
1. If you understand what was implied with the wrong syntax
2. If you answer the problem as stated. (correct answer )
Similarly: If a person not familar with geometry asked:
What is the formular for the perimeter of a square?
If by square they meant rectangle and 'wrote the syntax wrong', the answer they'd be looking for is side-length times two plus side-width times two.
But the proper (correct answer ) answer to the question is: side-length times four. | | | | | The syntax is only wrong if the person who originally asked the question meant to get an answer of 1.
As written there is only one answer: 9
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03.06.2011, 14:04
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | | | | | | "Sometimes they are five. Sometimes they are three. Sometimes they are all of them at once"
That's what I say.
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03.06.2011, 14:07
| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | The guys on the Math forum disagree. The question was designed to confuse, having been written incorrectly. A mathematician would not write it that way. The standard way is not that way, hence the ambiguity in the non standard written form. | | | | | Mathnut is a mathematician. Why do you continue to embarrass yourself?
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03.06.2011, 14:15
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| | Re: 6÷2(1+2) equals what exactly
A friend of mine hired a machinist a few years ago. A few weeks in this fellow was doing some math on a piece of paper and boss hands him a calculator...
fellow said "I don't use those, they are wrong"
boss says,"whaaaa?"
fellow says,"example. 2+2. Sometimes it's 4, sometimes it's something else."
Boss fires genius.
Stay away from heavy machinery UtH, as long as you don't hurt yourself it's all good. | 
03.06.2011, 14:18
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| | Re: 6÷2(1+2) equals what exactly
I haven't done any maths for the past 54 years (EXCEL does my Housekeeping and keeps tally of my Groans) so my answer was probably wrong but anyway this all reminds me of the kid in the first class at school who was notoriously careless in her adding up.
Teacher: 'Now, to be sure you get it right this time, I want you to add up these figures five times.'
Child: 'Yes Miss'
Five minutes later.
Teacher: 'Have you added them up 5 times like I said?'
Child: 'Yes Miss'.
Teacher: 'Good. Then now you can give me your answer. '
Child: 'Alright, Miss. Which answer do you want, the first, the second, the...
__________________ Longbyt | 
03.06.2011, 14:23
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | The syntax is only wrong if the person who originally asked the question meant to get an answer of 1.
As written there is only one answer: 9 | | | | | The syntax is wrong. It would not be written like that by a Mathematician. See my previous post earlier on.
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03.06.2011, 14:24
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | It's 9. Didn't read the whole thread but here's why:
Addition and subtraction are done together, in the order they occur left-to-right. Not "all the additions first, and then all the subtractions" or vice versa. Roughly speaking the reason we do it this way (i.e. the reason the convention of doing it this way makes sense) is that addition and subtraction are 'opposite' operations, and you want them to cancel each other out. e.g. you want 6-2+2 to be the same thing as 6+2-2. The only way to guarantee that is to do both addition and subtraction in the order you find them.
Multiplication and division, same thing. Multiplying by two and dividing by two are 'opposites', so if you take a number and do both of those operations to it - in whichever order - you expect to get the same number you started with. In other words, you want 6*2/2 to be the same thing as 6/2*2, and the only way that can happen is to take them in order, rather than all multiplications first or all divisions first.
HTH  | | | | | THANK YOU for an excellent explanation!
Tom
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03.06.2011, 14:25
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| | Re: 6÷2(1+2) equals what exactly | Quote: | |  | | | Mathnut is a mathematician. Why do you continue to embarrass yourself? | | | | | I go by what I read on the Maths forums. And you ?
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