Multiply Numbers by Drawing Lines

This is awesome:



Metacafe vodeo link found via haha.nu

I think this could be a cool educational tool to teach kids multiplication on large numbers. I’m guessing there is some mathematical theory that proves how it works.

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  • 6 Responses to “Multiply Numbers by Drawing Lines”

    1. Gravatar ambush CANADA Says: Reply to this comment

      there is a mathematical theory and it is deceptively simple, you are essentially multiplying each individual digit out where the lines cross.

      Posted using Safari Safari on Mac OS Mac OS X
    2. Gravatar Matt` UNITED KINGDOM Says: Reply to this comment

      I figured it was probably something along those lines - you multiply the end, then the middle (which will be the sum of 2 multiplications) then the front

      hmm… if the digit for one set of crossovers was over 10, you’d need to carry some over into the next column, otherwise it would make a 4 or 5 digit number

      Posted using Mozilla Firefox Mozilla Firefox 2.0 on Windows Windows XP
    3. Gravatar Luke UNITED STATES Says: Reply to this comment

      Yeah, that’s how if works, but why? I would love to see a mathematical proof of this.

      Posted using Mozilla Firefox Mozilla Firefox 2.0 on Ubuntu Linux Ubuntu Linux
    4. Gravatar Matt` UNITED KINGDOM Says: Reply to this comment

      You do the same thing with the lines as you do with long multiplication - just layed out differently.

      (From right to left on line diagram or on long multiplication columns)
      First multiply the 2 2nd digits, thats the end digit of the result
      Then multiply the 1st digit with the 2nd, and the 2nd with the 1st, and add the 2 resulting numbers, thats the 2nd digit of the result
      Then multiply the 1st digit in each number and thats the 1st digit in the answer

      The proof isnt so much mathematical as logical

      Kinda similar to the “grid method” that we got taught once - instead of “234 x 123″ you do 200×100, 200×20, 200×3, 30×100, 30×20, 30×3, 4×100, 4×20 and 4×3 then add up all the results, but its shown as a grid with “200″, “30″ and “4″ as the column headings and “100″, “20″ and “3″ as the row titles… if you see what I mean

      Posted using Mozilla Firefox Mozilla Firefox 2.0 on Windows Windows XP
    5. Gravatar Auto Says: Reply to this comment

      Yes such mathematics useful in the program when I Photoshop working on my head around so the figures fall

      Posted using Internet Explorer Internet Explorer 7.0 on Windows Windows XP
    6. Gravatar Luke Maciak UNITED STATES Says: Reply to this comment

      I’m pretty sure Auto’s comment is a spam, but I approved it for the comedic value of Bablefish translation! LOL!

      Posted using Mozilla Firefox Mozilla Firefox 3.0 on Windows Windows XP

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