Easy Graphical Multiplication Trick

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Graphical, Multiplication, Drawing, Stool, Numbers, Mathematics

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How to transform a multiplication into a simple counting of points through the drawing of a square shape (original analogy was with a stool). It works with any numbers if you keep the right partition. If you use a zero, use a dotted line. When a dotted line cross another dotted line or a plain line, count zero. You can verify with your calculator!It's only meant to be a funny trick to show to kids not to be an efficient way to do multiplication.An application of this trick can be seen at:http://www.metacafe.com/watch/339625/easy_graphical_fractions_addition_subtraction_trick/check our new video: http://www.metacafe.com/watch/410784/eating_fire/

  1. By: Akahad
  2. Categories How To, Science & Tech
  3. Views 2,324,527
  4. Added :16-Nov-06
Comments on Easy Graphical Multiplication Trick
Other comments on this video
  • The title is innacurate but i can't edit...

    It's not a way to make mental multiplications easier, it's just a fuuny way to resolve graphically a multiplication. It's only meant to be a little trick to show to friends and kids who hate maths. It's NOT meant to be efficient as some seems to think. You can do any kind of multiplication with it but yes it's boring to draw numbers like 8 or 9.

    I didn't invented it but i would proud to because it's simple esthetic way to show the basic mechanism of a multiplication. You need to be quite clever to make this kind of trick.
    My girlfriend learned it from some math teacher during her school years in china. He wanted to make kids interesed in maths and it worked. (In some china school, kids use stools to sit. That why he used this comparison for the shape of the network).

    For all those who talk crap about this video: This one of the highest ranked of the week and one of the biggest gain of the producer program in such short time. I made 2000$ in 4 days. If you're so good to put disdainful comments, why don't you make a better vid instead of wasting text here ?

    For those who enjoyed it, keep having fun! :) (new video coming soon)

    By Akahad 1164108610
    • Beat the MATH

      $2000 in 4 days? Nothing can beat that math... HAHAHA!!!

      By Baganagta 1164209601
    • EXPLANATION

      21•13 = (20 1) (10 3)
      = (2•[10] 1•[1]) (1•[10] 3•[1])
      = (2•1)[10•10] (2•3 1•1)[10•1] (1•3)[1•1]
      = 2•[100] (6 1)•[10] 3•[1]
      = 2•[100] 7•[10] 3•[1]
      = 273

      In this case, for each number the first drawn lines represent 'tens', and the others represent 'units'. That is:
      21 --> 2 'tens' lines (10 10)

      By daniel7 1172280916
    • EXLANATION (cont. 1)

      In this case, for each number the first drawn lines represent 'tens', and the others represent 'units'.
      That is:
      21 --> 2 'tens' lines (10 10)

      By daniel7 1172281031
    • EXLANATION (cont. 1)

      In this case, for each number, the first drawn lines represent 'tens', and the others represent 'units'. That is:
      21 --> 2 'tens' lines (10 10) and 1 'units' line (1)
      13 --> 1 'tens' line (10) and 3 'units' line (1 1 1)

      Intersecting: (2 'tens' lines x 1 'tens' line) = 2 'hundreds' intersection points = 200
      [That is: 20*10 = 200]

      Intersecting: (2 'tens' lines x 3 'units' lines) (1 'units' line x 1 'tens' line) = 7 'tens' intersection points = 70
      [That is: 20*3 1*10 = 60 10 = 70]

      Intersecting: (1 'units' line x 3 'units' lines) = 3 'units' intersection points = 3
      [That is: 1*3 = 3]

      TOTAL: 273

      Similar for the second example.

      By daniel7 1172281177
    • KEEP IT UP !

      Well answered bro ! I would never believe this simple video would go this far. Congratz ( and thanks to your girly ;) )
      Cant wait for the next video ( another secret from china maybe ? )

      By skrik 1164152766
  • thank u

    4 telling me this trick i caN JUST USE THE TRICK WHEN MULTIPLICATINg

    By zeozord 1166703262
  • Wow

    Thats very useful trick i like it man great job

    By whatsupman143 1165283533
  • Well...

    Instead of you all being such a "good" critics and insult this guy, you should praise him for showing all of us (at least the ones that didn't know that method) a curious way of multiplying.
    Yes i know it is faster using a calculator, and yes, it is probably faster doing it the old fashioned way with pen and paper. But at least its a different way of multiplying.

    Here are my 5 cents.

    By bestondoa 1164100483
  • to all those people who are berating thi...

    why don't you just accept it as being a cool way of thinking about multiplication? Mental maths is one of the things i excel at, and i wouldn't use this, but it's a fun and interesting way, and i think it deserves a good rating. It's not about what the best way is, it's about the different approaches you can take to things

    By stfunoob 1164385257
  • very good!

    very good!

    By haihua 1164123028
    • very good!

      very good!

      By haihua 1164123143
  • I think my mind just got Rocked

    Crazy jedi mind tricks

    By artful 1163643844
  • Ok it looks more like a net than a stool...

    that's the explanation i was given when i learned the trick.

    By Akahad 1163375871
  • Question...

    Thats Extremely good.. but I only saw evens and odds together.. like Example: 23 x 26.. and something like 321 x 123.. I mean, does it work the same if its unpaired.. example: 145 x 13.. Do u understand what im saying...

    By Da_Latin_Prince 1186613062
  • 18 x 56 does not work

    I like this method, however I have come across one that I cant figure out how it works. 18 x 56 does not come out right, not sure why? Any ideas?

    By bmorehokie 1170122374
    • addition

      it works but you must be careful adding the differents parts: from left to right you ll have: 5 / 46 / 48. you must add 5 /4 6 4/ 8 which gives 5 / 5 0 /8 then 5 5/0/8 wich gives 1008
      the correct number

      By Akahad 1197432689
  • genuis genuis!!!!!!!!

    i am so shocked you are really genuis and very intellegent i have just try for it in defferent numbers and the formula is working perfectly

    By khyu 1168884033
  • amazing

    amazing

    By funvidz 1227841371
  • 5

    5 star nice dude

    By ownedbyme 1211200578
  • .......?

    lol yea do that XD ........o wait i have a calculator =)

    By vids4$$$ 1207272268
  • AMAZING

    thanks for this i can use this in my maths exam :)

    By dubs07 1198453114
  • interesting

    i didnt quite get understand it but im interested and im gonna look into it

    By moseph654 1172127668
  • I like it.

    It's great for the people who can't do, or it is hard for them to do mental math(this includes me). When you don't have a calculator this is just another way. Even though you would have to have great memory skills to be able to remember where to count your first intersections and such. But non-the-less it is still an interesting way to solve those annoying multiplication problems. :]

    By deerweensquidxd 1171227905
  • thanks for the vid

    I like it

    By maf 1169178947
    • BUT WHAT ABOUT IF THERES A ZERO AT THE E...

      How does that work? Please explain!

      By Exanthias 1169250719
  • mmmm... really interesting .. for fun

    but wouldn´t be faster to do the multiplication as usual .

    By BlowUrMind 1168409296
  • pretty spiffy

    when im bored in math class i'll do that instead of boring write out problems. just wtf is up with ur nine? it looks like a g.

    By luckyduck 1167538125
  • ermmm i think you should know

    that its a girl not a boy

    By CRITICAL KIDD 1166986296
  • HEY RETARDS!!!

    this guy earned more than $7,000 and u guys r callin him an idiot? maybe u need to reconsider who the idiot is

    By conartist101 1165787830
  • Sweet!

    That's awesome - not very practical, but high nifty factor

    By kc5ifk 1165538514
  • well

    it s amusing,ahah

    By yayaniu 1165437944
  • This is use of simple formulas

    ab * cd = (10*a b) * (10*c d) =
    = 10*a*10*c 10*a*d 10*b*c b*d =
    =100*(a*c) 10*(a*d b*c) b*d

    All crosses is multiplies. You only make 4 multiplications (number of dots).

    Same parts in case of 123*321.

    By tenbaset 1165420991
  • hope

    i hope your "new one coming" don't be the rusian method 1(multiplication using division), the russian method 2(using fingers to multiply numbers from 6 to 10) or the arabig method for doing multiplication graphically

    By peladan 1164493042
  • good artist

    she paint so well

    By DongPhuongSoc 1164289130
  • ...

    nice parlor trick to show to the friends

    By SamKat 1164154395
  • cool

    but i tend to use calculator... or a mobile phone on gmat test...

    By sic 1164014636
  • try

    drawing 1234587964515 X 21358753982587=?

    By //.. 1163837219
    • omfg

      like you get that number at school. or anywhere.
      Always negative comments.
      Only reason for that is that you are jealous that you didnt came with this video first.

      Nice Trick akahad

      By Hacli06 1163956009
  • Toooooo complicated

    I rather use a calculator..

    By Misled 1163783436
  • lets

    do it 99999x9999 and see wat u draw

    By lo83 1163771564
  • Excellent

    Big props to you bro. Makes life a bit easier eh - so long as you've got paper and pen. Bugger if it's in your head.
    I'm gonna have to try this one out next time.

    By all3ykat 1163760411
  • thats easier

    than buying an asian kid.......how?

    By cptmanok 1163756574
  • sorry, but

    guys..any body can tell me from where i should start put the DOTs? tks a lot

    By Waz up ya 1163728766
  • No Sound

    It seems there should be sound with this, but I'm not getting any.,

    By bobmark 1163722988
    • No sound

      There's no sound. I'm not good at creating music and i don't want to use the copyrighted ones. Maths don't need heavy metal. :p

      By Akahad 1165449826
  • LM

    Long Multiplication is quicker, easier and doesn't cost a fortune in pencils.

    By Dayt 66 1163717720
  • it confuses the kids more

    especially when you have large numbers like 12345...

    By lazyrom 1163704947
  • nice idea

    it could help to make fun an arithmetic class for my son

    By malo92 1163702964
  • Well nice but ...

    the usual way is easier and takes less time. Glad to see a different way though

    By ZoglerMan 1163686079
  • This is lame

    The crossing points are just multiplication, but through counting. It's way faster to multiply than to count, and you actually end up doing exactly the same thing, but perhaps in a slightly different order.

    Just draw 1 line each time, but with a number attached to it, draw the little arcs, and then multiply the crossings. Same thing...

    By bobpaul 1163684611
  • i know your trick

    u only can do it ,if it 1 in the end of whole number. for example 31, 321, 71. and watch my video( new formula of mathematic> search:mathematic)

    By salihin 1163644723
  • Try 24 x 35

    Try 24 x 35

    By MrWu 1163632612
    • It works!

      The numbers you are left with are:
      6, 22, 20 right?

      (6 2), (2 2), 0 = 840

      Remember with 2-digit numbers, the upper digit is added with the number to its left.

      By letmein1 1163649847
    • i did....

      24 x 35 does word using this method

      By albonator316 1163647315
  • good technique

    incase you forgot to bring your calculator

    By jengkoil 1163630039
  • easier to round number off in my head th...

    321 x 123 =
    I would multiply 321 x 100 = 32100
    then multiply 321 x 20 = 6420
    then 321 x 3 = 963
    then add them all together 32100 + 6420 +321 = 39483

    By photographyplus 1163623605
    • obviously not easier to round off

      You should try his method because:
      32100 6420 321 doesn't equal 39483!!
      use a calaculator!

      By albonator316 1163647003
    • you made a typo

      the last term of your addition should be 963 and not 321 (as you calculated previously), that's why people are saying you're wrong. But one might question their intelligence when you consider that your procedure was correct, thus it should give a correct answer ...

      By Bingk 1163946803
    • No calculator !

      Hey, the goal is not to use any calc...
      At least, his mistake proves that he didn't use one to write this post... How many of you really did 123 x 321 mentaly ?

      By FuzzyGhost 1163704069
  • mmmm

    Interesting!! ...

    By Mavreq 1163611110
  • nice...

    if only u can find that trick, before they found calculator...

    ok, n now, where's my calculator...?

    By pHe-o-DhE 1163604359
  • how can you think that

    the solution is interesting .But there will be a certain of points to count...?...haha

    By yayaniu 1163412970
    • yes

      that's why he drew those lines circling the dots to circle, watch closely, you'll know which dots to count.

      By KilluaZaoldyeck 1163606227
  • This is - - - WOW!

    I guess Every Problem has a Solution in itself!!! :)

    By sidshadow 1199353659
  • Wow

    Well that makes sense but how about the weird number 9, who can explain that? http://www.metacafe.com/watch/704894/the_best_math_trick_ever/

    By andreipalatkas 1183565471
  • haha

    very nice but missed out on something, http://www.metacafe.com/watch/609924/sweet_kick/

    By good right 1180418851
  • ...

    Nice Video...
    If you are interested in posting your video at 15 of my website and drive more traffic to you for only $15 for a whole year. (that is onlya $1.25 a month)
    Please Contact me at: info(at)choufouni (dot)com

    By liboulibi 1180155734
  • i think

    it works with 1,2and3 only :-D

    By hafidovitche 1177000608
  • muy bueno

    que crack

    By noestudies 1175622576
  • Great trick!!

    Well done. There's another cool trick here. Check it out... http://www.metacafe.com/watch/476990/derivation_of_cube_roots_from_any_perfect_cube/

    By shwalker 1174450900
  • see this math trick also

    http://www.metacafe.com/watch/332976/great_math_trick_with_number_6/

    By papitza 1173975602
  • Cool Technique

    Thats cool technique, but it does get complicated for larger multiplication
    there is good technique for squaring large numbers you can view it on..
    http://www.metacafe.com/watch/454399/speed_calculations_squaring_large_numbers/

    By hbavishi 1173064669
  • Wow

    Cool graphics. But impractical to use for larger digits

    Check out this funny prank : http://www.metacafe.com/watch/452926/funny_prank_vanishing_desktop_icons/

    By loyalcasanova 1172836972
  • Cool math trick

    http://www.metacafe.com/watch/441990/cool_math_trick/

    By shortdude1619 1172197222
  • great

    great man how do you know about this?

    By saiganesh 1169119960
  • Not a practical way for human but..

    That method is like methods of multiplication used in computer science, for instance ALU in CPUs.
    Cool :)

    By fst 1167655518
  • it's just a easy way to get somebody sho...

    i tried with other numbers (ex:6789...)
    and it worked
    ex 585x3=1755
    5x3=15
    8x3=24
    5x3=15

    By >..... 1165166056
  • OH MY GOD!!!!

    HOW DUMB CAN ANYONE BE?? frankly speaking... if you start to draw in ur maths exam, you will fail coz you dont have enough time to finish it. Why is multiply symbol is "x"? coz its is all crosses... know you know how calculus think of all these thing up hundred of years ago? in short, do more exercise, dont let your brain rusts, you will be more familiar with even 5 digit multiplication... do in ur tiny little brain. i hope there will be another video clip teach you how to add 1 1 = 2... So you go to college to learn - X / eh?

    By nvidia888 1165105645
  • 123*321=

    _______
    321
    642
    963
    = 39483
    aint that much easer than all dat

    By brankobruda 1164508211
  • ...

    use a calculator. ........ this isnt mental btw. in mental sums etc. u arent allowed to write anything except the answers so.... thats considered working =)

    By !@#!@# 1164125400
  • Why make things more time-consuming and ...

    I prefer the common method of multiplication. Uses less paper and less time. Less margin of error, too...it could be simple to draw the arc in the wrong spot in this method shown.

    By BeerInMyHand 1163991477
  • GREAT !!!!

    I checked with larger numbers and it works. Yet didn't took the time to compare which one is faster, this method or regular multiplication as taught in school.

    By lolalolita 1163974210
  • well...

    this may have been useful for the chinese when they invented papyrus, but we invented the calculator to do this S**t for us, its a neat trick, but boring as F**k , so.... buy a calculator instead, u'll save money instead of having to buy paper and pens.

    By pinman21 1163960618
  • This isn't really a mental math trick

    it relys very heavly on drawing a picture... hence not mental!

    By xeno_tm 1163929200
  • this is the same as using manual way,

    nothing interesting

    By michaelonline 1163802804
  • Well done, Akahad

    I'm usually not rating videos, but this time it would be stupid not to rate it as excellent!

    The man who discovered this should be given a nobel price. Someone understanding how this trick is possible? Please explain if you can!

    By Dark Shade 1163789146
  • huh ?

    why dont you try multiplication you learnt at school ...

    By cdrk 1163777770
  • bro

    use calculator is much more faster right...

    By lo83 1163770976
  • BEST VIDEO ON METACAFE YET..

    THANKS!!!!!!!

    By teflon 1163770922
    • !

      its a rubbish video

      By jimy01 1163939478
  • bro

    use calculator ya

    By lo83 1163770433
  • S**t

    stupid..why dont use calculator

    By lo83 1163770262
  • BRILLIANT

    ABSOLUTELY BRILLIANT. THIS IS THE KIND OF STUFF I APPRECIATE. GOOD WORK!!!!

    By teflon 1163770200
    • you have got to be f*ckin jocking

      ...

      By Ibiza82 1163873214
    • negatve numbers?

      Hey this was like totally Bomb...I tried for an aptitude test and got all screwed up when I had eight out of ten questions with negative numbers:)

      By JRef 1163990117
  • are u shitting me...

    that is F**king retarded. takes forever, i rather do the old fashioned way. not only does it actually prove u know how, rather than doing this bogus way, its also faster.

    so 1) its faster, and 2) it shows u know how.

    By 34w5bw34 1163725080
  • YO!!

    i was trying to do this in school today in math didnt realy work with like 29x24 bc its a uneven square if i did somthing wrong tell me

    By Vinny2times 1163717790
  • you know it's a lot faster just to multi...

    and less complicated

    I don't mean to multply them by using calculator

    By Sir_Dude 1163679055
  • Amazing

    Amazing indeed

    By Maximum_LiMiT 1163675508
  • DAM

    AND THIS WHOLE TIME IVE BEEN USING A " CALCULATOR "

    By PROLIFIC 1163664678
  • Yes, but it gets much more complicated

    if you try using higher numbers like 7, 8 and 9. For 1, 2 and 3 there aren't so many lines.

    By Foddy 1163662494
  • Stupid

    BUY A CALCULATOR! !!!!!!

    By Human above all 1163626658
  • I think

    I'd work that problem out by hand the normal way even faster than that

    By 1163616874
  • If you love maths

    Check this out http://www.metacafe.com/watch/440644/hard_multiplication_made_easy/

    By MURFIE 1172063651
  • There is an easier way!

    This one is even easier: http://www.metacafe.com/watch/328038/amazing_multiplication_trick/

    By joach 1168116094
  • y???

    I think we have calculators for a reason!!! :S

    By LordPIG 1168013808
  • not bad

    well that wazz funny you know so that o.k.
    well check it out yo!!!!!! :]

    By gypsyboy 1167469194
  • Crazy

    Yo there is this crazy thing I don't know if you've heard of it. But there is a couple out on market. It's called....... hold on let me think.....Oh Yea! THE CALCULATOR!!!

    By icedogs2931 1166845889
  • Hm..

    That's why calculators were invented..so we don't have to draw on pieces of paper for days trying to figure out a stupid math question..

    By KGurl 1166845762
  • WTF

    What the F**k , why does this damn video hav 7000 dollars worth of views. almost 1.5 mil people. i watched this and had to turn it off half way through, u can work it out faster any othe way. Regular methoud of just multiplication works fine for me. This guy doesnt deserve 7000 dollars for drawing lines. Its not like he invented this metod anyway.

    By lowrider144 1165738284
  • Imagine multiplying..

    Imagine multiplying 989 * 8789 - lines and points everywhere.

    Me I think it's probably easier on an hp12c, don't you?

    By fxtrader92 1165730860
  • wow...

    impresive... but y dont u only use a calculator or do it normal ... its faster and easier

    By Tevize 1164935505
  • STONE AGE

    STONE AGE

    By xbox720 1164922703
  • ...

    It's called a calculator people, since we're not in grade 5 any more your allowed to use it.

    By Blutonium_Boy 1164799463
  • HO HO HO

    ive got a good feeling im gonna earn good salary making sh**ty videos for 4G's...im gonna quit my waiter job..

    By eatMYmilkshake 1164603489
  • Useless

    Unless you are in 1st grade and can't multiply, this is totally a waste of time, it takes 4 times longer than doing it the normal way. you won't look like an idiot drawing lots of lines together.

    By Reikon 1164330354
119 Comments
 

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