Added: 3 years ago
From: WorldCollections
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  • I've had a few looks at these types of patterns before - there really isn't much to look up regarding digits except in speed mathematics (similar processes are in The Trachtenberg Speed System of Basic Mathematics I think.)

    Quite interesting

  • You should post a video that shows the proof of this formula.

  • so basically, let M be the number of digits of A, and N be the number of digits of B.

    AB = A*(10^N) + B = A*(1 + 10^N - 1) + B*(1 + 10^M - 10^M) = (B*10^M + A) + A*(10^N - 1) - B*(10^M - 1) = BA + A*(10^N - 1) +B*(1-10^M)

    if N = M, that is A and B have same number of digits then

    AB = BA + (10^N - 1)*(A-B)

    it is not true for any even N, its only when A and B are divided equally. So when something is odd, you can't divide it into equal halfs. so you have an M and N different!

  • You say: "So when something is odd, you can't divide it into equal halfs".

    I say: In that sense, odd or even numbers CAN be divided into equal halfs. i.e. 27 is odd, and A=2 B=7.

    Thanks for your contributions.

  • no, I mean an odd number of digits, for example take any number like

    19833 or 238

    you cant divide it into A and B such that the formula holds!

  • oh i didnt see the part after 7:00 in the video where u say what to do with odd number of digits, but as u can see, the formula i mentioned above,

    AB = BA + A*(10^N - 1) +B*(1-10^M)

    holds irrespective of many digits you divide A and B into.

    but nice way to teach people some math tricks! good job

  • I like your expression very much ! Simple, clear and beautiful !

  • Your expression beautifully 'keeps track' of the different sections (as you say, irrespective of digits in either A or B ) in a number. Liked it very much !

  • How bored am I to be entertained and interested in this. Its a crime that people that have minds cant get the education they need in the fractional reserve bank debt based education system. Crippled by student loans ALL MY LIFE I have to get the rest of my education on the internet by scavenging. Sitting here instead of college algebra class.Even a retard can see thats messed up for our society

    BURN THE FEDERAL RESERVE free universal higher education for all especially veterans and their kids

  • a bit shifty but intersting. nice work man

  • hey!

    tu me enviaste el link por facebook lo vi y esta nice.

    pero tu asumes que funciona para todos los casos. lo puedes probar? y si lo probaste que metodo usaste?

    añade me a facebook para dialogarlo bien.

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