## Math: 6÷2(1+2) = ? | |

DUCM900User ID: 32721565 Italy 01/21/2013 11:46 AM Report Abusive Post Report Copyright Violation | |

Anubis§†€ªmþüñk User ID: 4949345 Canada 01/21/2013 11:48 AM Report Abusive Post Report Copyright Violation | i get 9 but thats just in my head. 6÷2(1+2) = 6/2(3) <- at this stage the parenthesis represent multiplication, not order of ops = 3(3) = 9 Last Edited by Anubis on 01/21/2013 11:51 AM |

ForgottenUser ID: 29097718 United States 01/21/2013 11:49 AM Report Abusive Post Report Copyright Violation | Are you serious? Scientific calculators knows the difference between a Quoting: typed n*(x) and n(x). DUCM900 Yes they do. There is no difference on those too. [link to img339.imageshack.us] See the scientific calculator symbols. I posted a video and did everything you asked me too. I have proven my part. Last Edited by Forgotten on 01/21/2013 11:51 AM Forgotten: Reach me at admin@TheGoldenRuleNow.org |

DUCM900User ID: 32721565 Italy 01/21/2013 11:51 AM Report Abusive Post Report Copyright Violation | |

ForgottenUser ID: 29097718 United States 01/21/2013 11:52 AM Report Abusive Post Report Copyright Violation | Are you serious? Scientific calculators knows the difference between a Quoting: typed n*(x) and n(x). DUCM900 And + real scientific calculators solve equations with x Stop to use such a toys to do the stuff. . DUCM900 I have shown scientific calculator doing the problem and many other websites and programs doing the problem. All getting 9. Have you shown anything showing an answer of 1? [link to imageshack.us] [link to img255.imageshack.us] [link to vimeo.com (secure)] [link to img339.imageshack.us] Everyone of these websites I typed the equation EXACTLY as the OP had it. Using ÷ not /,x or adding anything after the first 2. 6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9 Last Edited by Forgotten on 01/21/2013 11:55 AM Forgotten: Reach me at admin@TheGoldenRuleNow.org |

DUCM900User ID: 32721565 Italy 01/21/2013 11:58 AM Report Abusive Post Report Copyright Violation | |

ForgottenUser ID: 29097718 United States 01/21/2013 12:01 PM Report Abusive Post Report Copyright Violation | No rebuttal? No more arguments? Just pictures. Why are all these tools giving the wrong answer? Occams Razor. Is it more likely every single thing used comes up with 9 and is wrong? Or more likely the answer is 9, and these tools/programs are correct. And that human error is leading to the answer of 1? 6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9 Last Edited by Forgotten on 01/21/2013 12:03 PM Forgotten: Reach me at admin@TheGoldenRuleNow.org |

DUCM900User ID: 32721565 Italy 01/21/2013 12:05 PM Report Abusive Post Report Copyright Violation | |

ForgottenUser ID: 29097718 United States 01/21/2013 12:06 PM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 32715180 Germany 01/21/2013 12:06 PM Report Abusive Post Report Copyright Violation | |

ForgottenUser ID: 29097718 United States 01/21/2013 12:07 PM Report Abusive Post Report Copyright Violation | Are you serious? Scientific calculators knows the difference between a Quoting: typed n*(x) and n(x). DUCM900 What's the difference? Anonymous Coward 32715180 There isnt one. 6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9 Last Edited by Forgotten on 01/21/2013 12:10 PM Forgotten: Reach me at admin@TheGoldenRuleNow.org |

Anonymous Coward User ID: 32715180 Germany 01/21/2013 12:17 PM Report Abusive Post Report Copyright Violation | Are you serious? Scientific calculators knows the difference between a Quoting: typed n*(x) and n(x). DUCM900 What's the difference? Anonymous Coward 32715180 There isnt one. 6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9 Forgotten According to my calculator there is. According to the rules of math, there is not. I go with the rules of math. |

Iceice User ID: 24661192 United States 01/21/2013 02:30 PM Report Abusive Post Report Copyright Violation | |

Iceice User ID: 24512433 United States 01/21/2013 02:39 PM Report Abusive Post Report Copyright Violation | |

Anubis§†€ªmþüñk User ID: 4949345 Canada 01/21/2013 02:42 PM Report Abusive Post Report Copyright Violation | |

ForgottenUser ID: 29097718 United States 01/21/2013 06:03 PM Report Abusive Post Report Copyright Violation | Yep. [link to imageshack.us] [link to img255.imageshack.us] Video Below on Scientific calculator. [link to vimeo.com (secure)] [link to img339.imageshack.us] 6÷2(3) = 6÷2*3 = 6/2*3= 6÷2*(3)= 9 Forgotten: Reach me at admin@TheGoldenRuleNow.org |

Anonymous Coward User ID: 31557420 United States 01/21/2013 06:17 PM Report Abusive Post Report Copyright Violation | I used to think like you. The answer is 1. Caper_26 can explain it well. I hope he just starts a thread and gives the several proofs. The main issue here, is that working from left to right is not part of the order of operations. Problems do not have to be worked left to right, because it shouldn't matter. And given that the obelus is really a grouping symbol, creating a dividend and a divisor. You always work a dividend and a divisor separately. And you can prove that with the identity property a/1a=1 |

Anonymous Coward User ID: 31557420 United States 01/21/2013 06:21 PM Report Abusive Post Report Copyright Violation | Dear Forgotten, Quoting: Please stop posting the exact same reply over and over and over. We get it, you believe everything you find on the internet. Thank you Syrius LOL, can you tell everyone else to stop posting the same thing too? Surely the OP doesnt believe the answer is 9. What say you OP?> 9 or 1? Forgotten 6÷2(1+2) = 1 6/2(1+2) = 9 End. Syrius They both equal 1. From what I have learned researching this, the obelus and slash are equivalent. |

caper_26User ID: 32057798 Canada 01/21/2013 06:30 PM Report Abusive Post Report Copyright Violation | |

Anubis§†€ªmþüñk User ID: 4949345 Canada 01/21/2013 06:32 PM Report Abusive Post Report Copyright Violation | Dear Forgotten, Quoting: Please stop posting the exact same reply over and over and over. We get it, you believe everything you find on the internet. Thank you Syrius LOL, can you tell everyone else to stop posting the same thing too? Surely the OP doesnt believe the answer is 9. What say you OP?> 9 or 1? Forgotten 6÷2(1+2) = 1 6/2(1+2) = 9 End. Syrius They both equal 1. From what I have learned researching this, the obelus and slash are equivalent. Anonymous Coward 31557420 i still get 9 6÷2(1+2) = 6/2(3) <- at this stage the parenthesis represent multiplication, not order of ops = 3(3) = 9 tell me what you think im doing wrong? |

Anonymous Coward User ID: 32547856 United States 01/21/2013 06:34 PM Report Abusive Post Report Copyright Violation | Dear Forgotten, Quoting: Please stop posting the exact same reply over and over and over. We get it, you believe everything you find on the internet. Thank you Syrius LOL, can you tell everyone else to stop posting the same thing too? Surely the OP doesnt believe the answer is 9. What say you OP?> 9 or 1? Forgotten 6÷2(1+2) = 1 6/2(1+2) = 9 End. Syrius Those are the same thing. 6/2 = 6÷2 Cant believe the original poster didnt even know the answer to his own question. WTF?!!! [link to vimeo.com (secure)] Forgotten This, those are the same thing op. |

Anonymous Coward User ID: 32614604 Australia 01/21/2013 06:38 PM Report Abusive Post Report Copyright Violation | The main issue here, is that working from left to right is not part of the order of operations. Problems do not have to be worked left to right, because it shouldn't matter. Quoting: Anonymous Coward 31557420 Going left to right is part of the order of operations. P Parentheses first E Exponents (ie Powers and Square Roots, etc.) MD Multiplication and Division (left-to-right)AS Addition and Subtraction (left-to-right)Divide and Multiply rank equally (and go left to right).Add and Subtract rank equally (and go left to right)[link to www.mathsisfun.com] |

caper_26User ID: 32057798 Canada 01/21/2013 06:42 PM Report Abusive Post Report Copyright Violation | You do multiplication and division left to right: 6 divided by the quantity 2n 6 ÷ 2n , where n = 2+1 6 ÷ 2n = 3/n; n = 2+1 3/n = 3/(2+1) = 1 OR: 6 ÷ 2(2+1) = 6 ÷ (2(2)+2(1)) = 6 ÷(4+2) = 1 6 ÷ 2(2+1) = 1 6 ÷ (2+1)2 = 1 (6 ÷ 2)(2+1) = [(6÷2)(2) + (6÷2)1)] = [6 + 3] = 9 6(2+1) ÷ 2 = 9 WHY ??? Derive the equations showing all steps. Do not introduce unnecessary ( ) or * 6 ÷ 6 = 1 6 ÷ (4+2) = 1; Factor out the GCF (Greatest common factor of 2) 6 ÷ 2(2+1) = 1 Now for 9: 3 * 3 = 9 3 * (2+1) = 9 6/2 * (2+1) = 9 OR: 6 + 3 = 9 (6/2)2 + (6/2)1 = 9 (6/2)(2+1) = 9 Fractions as coefficients that use '/' , such as (6/2)n, must use parentheses. Otherwise, it is 6/2n which is 6/(2n). "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it." |

caper_26User ID: 32057798 Canada 01/21/2013 06:47 PM Report Abusive Post Report Copyright Violation | Technically no, but it gives young students a sense of order. Adding and multiplying is associative, so it doesn't matter what order you them in. Subtracting and division are the same as adding and multiplying. It is knowing things like this, as well as other details of maths, that allow you to see that this equation is solved as 1. [link to math.berkeley.edu] Read that. It is important to note that this stipulation about \from left to right"is entirely extraneous, because the associative laws of addition and multiplication ensure that it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: Brekeley.edu"I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it." |

caper_26User ID: 32057798 Canada 01/21/2013 06:48 PM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 32614604 Australia 01/21/2013 07:00 PM Report Abusive Post Report Copyright Violation | Technically no, but it gives young students a sense of order. Adding and multiplying is associative, so it doesn't matter what order you them in. Subtracting and division are the same as adding and multiplying. It is knowing things like this, as well as other details of maths, that allow you to see that this equation is solved as 1. [link to math.berkeley.edu] Read that. It is important to note that this stipulation about \from left to right"is entirely extraneous, because the associative laws of addition and multiplication ensure that it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: Brekeley.educaper_26 if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"? |

DUCM900User ID: 32755121 Italy 01/21/2013 07:04 PM Report Abusive Post Report Copyright Violation | if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" Quoting: and some people saying "9"?Anonymous Coward 32614604 Maybe they just use google and wikipedia? I know, thats the new generation... >>>>> [link to www.godlikeproductions.com] . Last Edited by IWASTHERE on 01/21/2013 07:07 PM |

caper_26User ID: 32057798 Canada 01/21/2013 07:19 PM Report Abusive Post Report Copyright Violation | A pair, is 2. A pair of anything, is 2 of them. Yes, it can be evaluated as 2 * x, but the value must remain so the meaning is different. Situation: You have apples to divide among people. You have 6 apples. A family (f) is 2 adults and 1 child, so f = 2+1 6 apples divided by a pair of families (where there are 3 in a family). f is a family of 3, so f = 36 ÷ 2f = 6 ÷ 2(3) = 1 6 ÷ 2(2+1) = 1 "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it." |

Anonymous Coward User ID: 32715180 Germany 01/21/2013 07:22 PM Report Abusive Post Report Copyright Violation | |

caper_26User ID: 32057798 Canada 01/21/2013 07:23 PM Report Abusive Post Report Copyright Violation | if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"? Quoting: Anonymous Coward 32614604 It isn't the order of operations that is the problem. It is people not realizing that (2+1) is in the denominator. 6 ÷ 2(2+1) is 6 2(2+1) for the reason: a ÷ 1a = 1 = a/1a = a/(1a) they are redundant ( ) so they can be left out, since we don't want to clutter maths with unnecessary ( ) |

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