Math: 6÷2(1+2) = ? | |
caper_26 User ID: 32057798 Canada 01/21/2013 06:30 PM Report Abusive Post Report Copyright Violation | |
Anubis User ID: 4949345 Canada 01/21/2013 06:32 PM Report Abusive Post Report Copyright Violation | Dear Forgotten, Quoting: Syrius 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 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? 6÷2(1+2) = 1 6/2(1+2) = 9 End. They both equal 1. From what I have learned researching this, the obelus and slash are equivalent. 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: Syrius 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 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? 6÷2(1+2) = 1 6/2(1+2) = 9 End. 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)] 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_26 User 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_26 User 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_26 User 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.eduif 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"? |
DUCM900 User 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" and some people saying "9"? Quoting: 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_26 User 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 = 3 6 ÷ 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_26 User 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 ( ) "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_26 User ID: 32057798 Canada 01/21/2013 07:23 PM Report Abusive Post Report Copyright Violation | It is no proper mathematics to write it that way. This would be the right way: 6 ÷ (2(2+1)) = 1 No, for laymen, you can write it that way. They are redundant parentheses, for the reason I just stated above. "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 07:25 PM Report Abusive Post Report Copyright Violation | |
Anonymous Coward User ID: 32762094 Finland 01/21/2013 07:26 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.eduYou should read your own links, specifically this part: it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: your own link6/2(1+2) = 6 x 0.5 x 3 = 9 only a fool argues anything other than 9. |
caper_26 User ID: 32057798 Canada 01/21/2013 07:28 PM Report Abusive Post Report Copyright Violation | Wrong. It IS proper. Here is an online algebra question: {4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ?? I bet you can't solve it correctly EDITED to fix exponents Last Edited by caper_26 on 01/21/2013 07:33 PM "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_26 User ID: 32057798 Canada 01/21/2013 07:31 PM Report Abusive Post Report Copyright Violation | You should read your own links, specifically this part: Quoting: Anonymous Coward 32762094 it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: your own link6/2(1+2) = 6 x 0.5 x 3 = 9 only a fool argues anything other than 9. That is really funny. Did you not see that I quoted that exact passage? Next time you want to re-write it, do it properly: 6 * 2^-1 * (2+1)^-1 Why? 6 ÷ 2n = 6 * (2n)^-1 = 6 * 2^-1 * n^-1; where n = 2+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." |
Smith Jefferys User ID: 15628045 United Kingdom 01/21/2013 07:32 PM Report Abusive Post Report Copyright Violation | |
Anonymous Coward User ID: 32715180 Germany 01/21/2013 07:33 PM Report Abusive Post Report Copyright Violation | |
caper_26 User ID: 32057798 Canada 01/21/2013 07:34 PM Report Abusive Post Report Copyright Violation | |
Anonymous Coward User ID: 32762094 Finland 01/21/2013 07:36 PM Report Abusive Post Report Copyright Violation | You should read your own links, specifically this part: Quoting: Anonymous Coward 32762094 it makes no dierence whatsoever in what order the additions or multiplications are carried out. Quoting: your own link6/2(1+2) = 6 x 0.5 x 3 = 9 only a fool argues anything other than 9. That is really funny. Did you not see that I quoted that exact passage? Next time you want to re-write it, do it properly: 6 * 2^-1 * (2+1)^-1 Why? 6 ÷ 2n = 6 * (2n)^-1 = 6 * 2^-1 * n^-1; where n = 2+1 LMAO. It's a basic math quiz. What's wrong with you? 9 is still the answer. |
Anonymous Coward User ID: 32614604 Australia 01/21/2013 07:36 PM Report Abusive Post Report Copyright Violation | This is PROOF that infix notation SUCKS!!! Use REVERSE POLISH NOTATION, and then YOU DON'T NEED PARENTHESES!!!! "Reverse Polish notation (RPN) is a mathematical notation in which every operator follows all of its operands, in contrast to Polish notation, which puts the operator in the prefix position. It is also known as postfix notation and is parenthesis-free as long as operator arities are fixed." [link to en.wikipedia.org] so... who wants to convert the expression to RPN? |
Anonymous Coward User ID: 32715180 Germany 01/21/2013 07:38 PM Report Abusive Post Report Copyright Violation | |
caper_26 User ID: 32057798 Canada 01/21/2013 07:38 PM Report Abusive Post Report Copyright Violation | |
Anonymous Coward User ID: 32715180 Germany 01/21/2013 07:39 PM Report Abusive Post Report Copyright Violation | It is no proper mathematics to write it that way. This would be the right way: 6 ÷ (2(2+1)) = 1 No, for laymen, you can write it that way. They are redundant parentheses, for the reason I just stated above. Source? Still waiting. |
caper_26 User ID: 32057798 Canada 01/21/2013 07:39 PM Report Abusive Post Report Copyright Violation | GLP converted some exponents to HTML code. Try this: Quoting: caper_26 {4 [2xz^4 (2c³v ÷ 2cv²)³ ÷ 2]} ÷ c^6x • v³ = 4z^4 = ?? There is only multiplication and exponents in that equation. No addition. Totally different case study. Doesnt matter. the addition gets done first anyway. I bet you STILL can't answer it. It should be easier if there is no addition then since there is no ambiguity? "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 07:40 PM Report Abusive Post Report Copyright Violation | |
caper_26 User ID: 32057798 Canada 01/21/2013 07:43 PM Report Abusive Post Report Copyright Violation | |
caper_26 User ID: 32057798 Canada 01/21/2013 07:44 PM Report Abusive Post Report Copyright Violation | |
Anonymous Coward User ID: 32614604 Australia 01/21/2013 07:45 PM Report Abusive Post Report Copyright Violation | |