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Category: Science
Date: 11/22/06 02:04 AM

94 Responses to Solve Multiplication Problems by Drawing Lines

  1. Profile photo of buddy
    buddy Male 30-39
    10116 posts
    November 22, 2006 at 12:21 am
    Link: Solve Multiplication Problems by Drawing Lines - Pretty cool trick.
  2. Profile photo of shinu
    shinu Male 18-29
    1387 posts
    November 22, 2006 at 1:50 am
    yay my first first comment ever!!! good for a 201st post. and thats amazing that that works. its kinda confusing, but wow.
  3. Profile photo of 72tour
    72tour Male 13-17
    222 posts
    November 22, 2006 at 2:11 am
    Wacko stuff right there. Not sure it`d work for everything, only certain problems.
  4. Profile photo of Screamer23
    Screamer23 Female 18-29
    27 posts
    November 22, 2006 at 2:14 am
    Pretty cool - but it takes way longer than just writing it out. :P
  5. Profile photo of SpoonFork
    SpoonFork Male 30-39
    1265 posts
    November 22, 2006 at 2:20 am
    WTF? Who figures this crap out?
  6. Profile photo of ozp2004
    ozp2004 Male 13-17
    17 posts
    November 22, 2006 at 2:24 am
    its really not that cool, when you cross 2 lines with three lines you get 6 dots, and so on, he`s still doing each individual step but he`s just able to visualize it. it does take care of the values of each digit nicely, though.
  7. Profile photo of Cy
    Cy Male 18-29
    870 posts
    November 22, 2006 at 2:24 am
    Clever trick. Shinu, this is why it works:
    The spaced out lines correspond to ones, tens, hundreds, etc., just like the numbers in the decimal system (321=3 hundreds, 2 tens, 1 one--same for the 3,2,1 lines). There are at most two sets of each type of line, one for each number. That makes it possible to do the multiplication graphically: e.g 3x2 lines will intersect each other 6 times--you can see that. Where the lines intersect it`s like multiplying one by the other: e.g., if the ten line intersects a hundred line, you`re counting thousands. So the intersection of 3 hundreds and 2 tens, or 2 hundreds and 3 tens gets you 6 thousands.
    Since the lines are drawn in order, which place is which is also in order: e.g. at the bottom right, you are multiplying ones by ones, so you are counting ones. If you go one up or one to the left, you are multiplying ones by tens, so you are counting tens. Basically, every step up or to the left, moves the decimal place one to the right. That is wh
  8. Profile photo of ajr2006
    ajr2006 Male 18-29
    943 posts
    November 22, 2006 at 2:28 am
    wow, my math skills just got a whole lot better
  9. Profile photo of Cy
    Cy Male 18-29
    870 posts
    November 22, 2006 at 2:33 am
    *continuing* That is why the diagonal lines match up the decimal places: imagine you start drawing the diagonal line from the top. You go down one and to the left one: going down reduces the place, but going to the left increases the place, so together they cancel out, and you are dealing with the same decimal place. (You can start from the bottom and go up and to the right--same thing).
    At the end, he carries whatever digits he needs to. It could get more complicated than he made it, with multiple carries, but that works the same as carrying in the standard way of doing these things.
    This is really the same thing as doing the multiplication the regular way (except you don`t need a multiplication table), so it does work for everything, 72tour. The only thing you have to add to take care of all the cases, is that he didn`t show how to write a zero. Suppose we make zero a dotted line, and don`t count intersections with dotted lines. Then it works for everything.
  10. Profile photo of Tyrizzle
    Tyrizzle Male 18-29
    908 posts
    November 22, 2006 at 2:38 am
    O_o
    my brainnnnn
  11. Profile photo of notapervert
    notapervert Male 13-17
    2568 posts
    November 22, 2006 at 2:40 am
    As borat would have said it : wowoweewah!
  12. Profile photo of brutalnz
    brutalnz Male 30-39
    1386 posts
    November 22, 2006 at 2:42 am
    neat trick, just did 27 x 156 and got 4212 using lines, checked it with a calc and it was right. so then i did it long hand and found that to be alot quicker than the lines
  13. Profile photo of LBlues
    LBlues Male 18-29
    713 posts
    November 22, 2006 at 2:43 am
    hahha not bad, but wouldnt it be easier to use the regular long multiplication method
  14. Profile photo of Cy
    Cy Male 18-29
    870 posts
    November 22, 2006 at 3:04 am
    Of course.
  15. Profile photo of silverfang
    silverfang Male 18-29
    256 posts
    November 22, 2006 at 3:06 am
    too f|_|cking cool, that`unna make math soo much easier.
  16. Profile photo of Boxtop
    Boxtop Male 18-29
    652 posts
    November 22, 2006 at 3:08 am
    Seems like a huge waste of time. It`s not that hard to multiply several numbers. Just use your fingers if you`re stuck.
  17. Profile photo of fusion42x
    fusion42x Female 18-29
    157 posts
    November 22, 2006 at 3:11 am
    that is a really neat trick, whoever figured that one out is awesome! But I still like my calculator best ^^
  18. Profile photo of flipz4
    flipz4 Male 18-29
    266 posts
    November 22, 2006 at 3:22 am
    yea, lets take 5 steps back, hell, lets just use abacuses
  19. Profile photo of Donuts6657
    Donuts6657 Male 13-17
    9 posts
    November 22, 2006 at 3:25 am
    thats pretty cool, but its like taking the scenic route when going somewhere, you know it takes longer but you want to try something different and it will increase your driving skills
  20. Profile photo of BakaNeko728
    BakaNeko728 Female 18-29
    666 posts
    November 22, 2006 at 4:10 am
    OR! you could use what us modern day people call.... a calculator!!! *gasp*
  21. Profile photo of SinisterSlug
    SinisterSlug Male 18-29
    136 posts
    November 22, 2006 at 4:23 am
    I got bored watching that. yeah just use a calculater. save u loads more time.
  22. Profile photo of DarthKarnage
    DarthKarnage Male 18-29
    128 posts
    November 22, 2006 at 4:39 am
    lame
  23. Profile photo of gorgeousplan
    gorgeousplan Female 18-29
    146 posts
    November 22, 2006 at 5:02 am
    i love math!

    me = nerd... i know...

  24. Profile photo of KMeTG
    KMeTG Male 18-29
    1265 posts
    November 22, 2006 at 5:36 am
    Personally I always preferred stones in the dirt.
  25. Profile photo of YouG
    YouG Male 18-29
    2521 posts
    November 22, 2006 at 6:04 am
    Saw it first on digg. By the way, if it`s 0, then draw an imaginary line.
  26. Profile photo of quedas
    quedas Male 18-29
    164 posts
    November 22, 2006 at 6:37 am
    Man, some of you guys just completely missed the point. Of course a calculator is better. This is not supposed to be the solution for failure in math. It`s supposed to be a cool trick. And it is. And YouG, thanks for the zero tip, was battling it that one.
  27. Profile photo of TomSFox
    TomSFox Male 18-29
    732 posts
    November 22, 2006 at 6:50 am
    Ooooooohh! Nice patterns!!!
  28. Profile photo of Overmann
    Overmann Male 18-29
    2600 posts
    November 22, 2006 at 9:51 am
    So they are accepting math links? Then why not the Ten Commandments of Math I submitted a bit ago? Hum.

    I suppose this method would help the visual learners, but I`m a math tutor at my local college and wouldn`t recommend this trick to anyone. It`s time consuming and requires more space on the paper. Oh, and some of you may be forgetting that in lower level math classes, calculators are not permitted.

  29. Profile photo of klkl
    klkl Male 13-17
    1726 posts
    November 22, 2006 at 9:57 am
    this will realy help me in skool now
  30. Profile photo of ryan14
    ryan14 Male 13-17
    2057 posts
    November 22, 2006 at 10:03 am
    WOW! who found that out?
  31. Profile photo of ryan14
    ryan14 Male 13-17
    2057 posts
    November 22, 2006 at 10:04 am
    i wish i still did maths in the sixth form now. Actually, no i dont!
  32. Profile photo of maples
    maples Male 13-17
    1217 posts
    November 22, 2006 at 10:24 am
    spoonfork: the answer is the people who live on the internet.

    WOW this is amazing.

  33. Profile photo of MissyRee
    MissyRee Female 18-29
    873 posts
    November 22, 2006 at 10:53 am
    I used Napia`s Bones at skool simular to tht.. cant really explain it perhaps i can find a pic to show ya..
  34. Profile photo of IrishRose12
    IrishRose12 Female 18-29
    172 posts
    November 22, 2006 at 10:58 am
    yes! its much easier to count little dots!!

    but it is cool in theory. i dont think i`ll ever use it tho.

  35. Profile photo of Trackboy
    Trackboy Male 13-17
    25 posts
    November 22, 2006 at 11:51 am
    thats cool and all, but im good with a calculator. nice trick tho
  36. Profile photo of dracokain
    dracokain Male 18-29
    266 posts
    November 22, 2006 at 12:04 pm
    It would be fun to do in math class when your teacher asks you to show you work and when you turn it in she would be like omg wtf dood?
  37. Profile photo of pidwidgeon
    pidwidgeon Female 18-29
    600 posts
    November 22, 2006 at 12:06 pm
    I think I`ll just stick with my calculator. It hasn`t failed me yet. Stupid lines....
  38. Profile photo of xelous
    xelous Male 18-29
    2513 posts
    November 22, 2006 at 12:09 pm
    CALC`S ARE AWESOME
  39. Profile photo of Boman_05
    Boman_05 Male 18-29
    60 posts
    November 22, 2006 at 12:16 pm
    Pretty cool trick
  40. Profile photo of jevans
    jevans Male 18-29
    35 posts
    November 22, 2006 at 12:41 pm
    Its KINDA similar to a method called "Napiers Bones" or "Napier`s Rods" if anyones ever heard of that.
  41. Profile photo of C0mpakt0r
    C0mpakt0r Male 13-17
    38 posts
    November 22, 2006 at 12:58 pm
    Thats kewl! Not that it`s faster, but sometimes i`m too tired for the real way/ calculators not allowed.
  42. Profile photo of schmexie
    schmexie Female 13-17
    351 posts
    November 22, 2006 at 1:08 pm
    WOW!!! that is so cool!
  43. Profile photo of Tallun
    Tallun Male 18-29
    22 posts
    November 22, 2006 at 1:58 pm
    I`m so gonna do that on the next math test. I can imagine the teacher`s expression.
  44. Profile photo of mizdup
    mizdup Female 18-29
    187 posts
    November 22, 2006 at 2:00 pm
    ^^lol tallun.if i was in school still or studying a college course that required the use of maths, i`d do it too.was thinking the same thing while watching it and was like "wonder what the teacher woulda done if i starting doing that all over my papers?"
  45. Profile photo of TopperHey
    TopperHey Male 18-29
    1930 posts
    November 22, 2006 at 2:19 pm
    There are loads of easier ways to do this. Longhand for starters.
    My year 5 teacher taught me a cool way which was in escence long division, but did in little steps and add it up all in your head. Which is why i can do 1283*134 mentally in 2 minutes when i dont have stuff to write on! lol
  46. Profile photo of HillbillyGuy
    HillbillyGuy Male 18-29
    68 posts
    November 22, 2006 at 2:21 pm
    That`s the most useless thing I`ve ever seen. How is that any faster than doing it the old fashioned way? Not only that, who in their right mind does math without a calculator these days anyway?

    /One...two...TWO boobies! Ah ah ah!!!

  47. Profile photo of HaruHaru
    HaruHaru Female 13-17
    1066 posts
    November 22, 2006 at 2:28 pm
    I..still don`t get it o_o;
  48. Profile photo of skating247
    skating247 Female 13-17
    268 posts
    November 22, 2006 at 2:33 pm
    that was cool but it is easier just solving it ther normal way.
  49. Profile photo of Woot45
    Woot45 Female 13-17
    1398 posts
    November 22, 2006 at 2:44 pm
    lame, much easier to just figure it out I say.
  50. Profile photo of freddyferret
    freddyferret Male 40-49
    11742 posts
    November 22, 2006 at 2:47 pm
    Yeah because this is SO much better than actually doing the math. Creative I guess but I`d rather not spend all of that extra time figuring it out.
  51. Profile photo of STARTSOMETIN
    STARTSOMETIN Male 18-29
    561 posts
    November 22, 2006 at 3:11 pm
    more easier just to do it
  52. Profile photo of NyQ
    NyQ Male 18-29
    375 posts
    November 22, 2006 at 3:16 pm
    and long multiplication could still leave the mathematically-inept with a problem...what if they can`t remember that 7x8 is 56?

    these lines sure would solve that problem

  53. Profile photo of moojuiceman
    moojuiceman Male 18-29
    924 posts
    November 22, 2006 at 3:21 pm
    too true NyQ i kept forgettin things like that but then i got dr kawashimas brain training and it really helps

    this is quite a good method if your bored and have time, its not faster but it would be fun to see what the teacher did when they saw this

  54. Profile photo of boredest1
    boredest1 Male 18-29
    556 posts
    November 22, 2006 at 3:25 pm
    ummm...id rather use a calculator or write it out
  55. Profile photo of Spoiled1
    Spoiled1 Female 13-17
    40 posts
    November 22, 2006 at 3:28 pm
    i dont get it
  56. Profile photo of ViETCUTENESS
    ViETCUTENESS Female 13-17
    106 posts
    November 22, 2006 at 4:16 pm
    blahh.. looks too long! how bout uhmm.. use a calculator! :DD
  57. Profile photo of Bobban
    Bobban Male 18-29
    4 posts
    November 22, 2006 at 4:30 pm
    it might look easy for 123 x 321, but imagine doing it with 948 x 769 or for that mather even 49 x 97 would take ages, having 81 intersections at one place, 63 at another, then 36 and finally 28. A lot of counting then.
  58. Profile photo of h0ax_d3m0n
    h0ax_d3m0n Male 18-29
    2513 posts
    November 22, 2006 at 4:37 pm
    who writes a 9 like that...?
  59. Profile photo of NumbuhZero
    NumbuhZero Female 18-29
    878 posts
    November 22, 2006 at 5:11 pm
    > - <
    But what if there wasa 9 hmmm?
    I`d rather use a calculator
  60. Profile photo of nicole_xo
    nicole_xo Female 13-17
    2552 posts
    November 22, 2006 at 5:22 pm
    I did this in 5th grade...
    I`m not kidding.
  61. Profile photo of LaChica
    LaChica Female 18-29
    1596 posts
    November 22, 2006 at 5:29 pm
    ZOMG It`s simpler now!!! Thanks!!
  62. Profile photo of sims2luver
    sims2luver Female 13-17
    797 posts
    November 22, 2006 at 5:49 pm
    nicole, I did too. I don`t need this information
  63. Profile photo of Monty_Python
    Monty_Python Male 13-17
    469 posts
    November 22, 2006 at 6:11 pm
    Hmm. Nifty. I`ve never seen anything like that before.

    I imagine it has some practical application, though. Might be a fun project.

  64. Profile photo of xDDitsmee
    xDDitsmee Female 18-29
    266 posts
    November 22, 2006 at 6:25 pm
    I don`t do drawing and counting lines. It isn`t my thing.

    Normally I just strain to figure it out until I break down and do that damned lattice method of multiplication

  65. Profile photo of kiki_001
    kiki_001 Female 18-29
    90 posts
    November 22, 2006 at 7:07 pm
    ummmm hone get a calculator my brain hurts now X-(
  66. Profile photo of irred
    irred Female 13-17
    695 posts
    November 22, 2006 at 7:58 pm
    looks like more work to do
  67. Profile photo of Masticore
    Masticore Male 18-29
    109 posts
    November 22, 2006 at 8:48 pm
    Calculators are the worst thing to ever happen to math education.

    Seriously. The best thing I ever did for getting good at math was lose my calculator early on in pre-calculus and not tell my parents.

    And the lines would get faster in a hurry if you drew them faster. Too bad that long division is faster unless you are slow at multiplying by 7, 8, or 9, in which case you have more lines to draw.

    Best part I can see about this is that it works with other base systems - suppose you want to multiply 6`b011101 by 6`b111001. Or 8`h1A by 8`h06. Could help.

  68. Profile photo of Berenice
    Berenice Female 13-17
    536 posts
    November 22, 2006 at 10:23 pm
    Yeah, I mean, this trick is the COOLEST. I mean, yeah, we can all use calcualters, but what if you don`t have one? What if you can`t use one cause you`re taking a test? This trick would be so easy. ANd I like what dracokain said about the showing the work thing lol. Next time my teacher asks me to show my work I`m doing that lol
  69. Profile photo of Malchior999
    Malchior999 Male 13-17
    141 posts
    November 22, 2006 at 10:33 pm
    I dont belive they found another way... seems pretty cool. now i can teach my math teacher another method lol
  70. Profile photo of Overmann
    Overmann Male 18-29
    2600 posts
    November 23, 2006 at 12:18 am
    Masticore, how ever did you calculate logarithms without a calculator? Did you convert them to exponential functions first or what?
  71. Profile photo of Cy
    Cy Male 18-29
    870 posts
    November 23, 2006 at 12:27 am
    Manticore, I don`t know what you`re talking about this working with other base systems. This is exactly the same as multiplying with digits using pencil and paper. That also works with other base systems, but you have to remember that 3*7=16, (e.g.) instead of 21, and so forth. You have to remember that using this system also, so I don`t see how it helps at all.
  72. Profile photo of SilentxEm
    SilentxEm Female 60-69
    670 posts
    November 23, 2006 at 1:00 am
    :) This... is awesome.
    When my dad wakes up, I`m showing it to him. He`ll enjoy it. Silly little math freak.
  73. Profile photo of tourettes
    tourettes Male 18-29
    957 posts
    November 23, 2006 at 4:17 am
    pretty neat.
  74. Profile photo of SH0WERdance
    SH0WERdance Female 13-17
    411 posts
    November 23, 2006 at 8:30 am
    wowo. yes. wowo.
  75. Profile photo of bumblecock
    bumblecock Male 18-29
    643 posts
    November 23, 2006 at 11:10 am
    Math sucks.
    Calculators pwn.
  76. Profile photo of Ledatru
    Ledatru Male 18-29
    55 posts
    November 23, 2006 at 12:24 pm
    OK... Who the hell still takes math tests that test your multiplication skills??? Are you guys like 7?
  77. Profile photo of xRevengex
    xRevengex Female 18-29
    419 posts
    November 23, 2006 at 12:56 pm
    I`d use that if I could remember it, I`m not the brightest at maths lol
    I use the box method anyway but then it takes ages to add them all up at the end.
  78. Profile photo of JpKllA
    JpKllA Male 13-17
    338 posts
    November 23, 2006 at 1:00 pm
    This method is stupid and impractical. Unless you have loads of time on your hands.
  79. Profile photo of boredchick19
    boredchick19 Female 13-17
    228 posts
    November 23, 2006 at 10:56 pm
    bet that only works for certain numbers... ): o well we use calculators for everything anyways ^.^
  80. Profile photo of carissakayb
    carissakayb Female 13-17
    130 posts
    November 24, 2006 at 1:11 am
    That`s confusing! I tried it and I don`t get it. Maybe I`ll send it to my math teacher... nah. I think that person is from France. THey write their nines like a lower case English "G".
  81. Profile photo of emochika
    emochika Female 13-17
    35 posts
    November 24, 2006 at 11:19 am
    WTF umm yea kinda dont get it
  82. Profile photo of dunny123
    dunny123 Male 13-17
    70 posts
    November 24, 2006 at 7:39 pm
    this takes up too much space on the paper anyways. USE A CALCULATOR
  83. Profile photo of cookie11111
    cookie11111 Male 13-17
    184 posts
    November 26, 2006 at 2:06 am
    SICK!
  84. Profile photo of loki75
    loki75 Male 18-29
    5 posts
    November 26, 2006 at 3:09 pm
    How in the hell does that work!?
  85. Profile photo of o0olalax3
    o0olalax3 Female 13-17
    14 posts
    November 26, 2006 at 4:58 pm
    a little confusing but...xD
  86. Profile photo of th25tina
    th25tina Female 40-49
    368 posts
    November 28, 2006 at 9:46 am
    thats crazy that it works but its still faster to do longhand....might be easier for kids though.
  87. Profile photo of ashwey
    ashwey Female 13-17
    943 posts
    November 28, 2006 at 6:50 pm
    woahh
  88. Profile photo of RedRen
    RedRen Female 70 & Over
    209 posts
    November 28, 2006 at 8:04 pm
    umm...i think i`ll keep my graphing calculator thanks
  89. Profile photo of Cy
    Cy Male 18-29
    870 posts
    November 29, 2006 at 10:14 am
    Everyone asking how it works: read the comments on the first page. It`s not that amazing, really.
  90. Profile photo of sunwavewind
    sunwavewind Female 18-29
    690 posts
    November 29, 2006 at 9:06 pm
    I don`t think I need to get any slower doing maths and if I couldn`t use a calculator I would drop math.
  91. Profile photo of MontyX
    MontyX Male 13-17
    4 posts
    December 2, 2006 at 10:10 pm
    That was pretty cool and I can see how that would make Math more interesting to someone who hates it but it`s easier to just do it in your head.
  92. Profile photo of HilaryH
    HilaryH Female 13-17
    17 posts
    December 4, 2006 at 8:13 pm
    Interesting and creative, if not a bit regressive.
  93. Profile photo of evilempress1
    evilempress1 Female 13-17
    417 posts
    April 1, 2007 at 2:57 pm
    COOL! my b*tch of a teacher would`nt like it. I should totally try that!
  94. Profile photo of iluvpink13
    iluvpink13 Female 18-29
    1414 posts
    September 7, 2009 at 10:28 pm
    hmm. seems fastyer to just multiply. cool trick, though. who thinks up this stuff? like, "hey. im gonna add lines now"

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