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Multiplication via lines!


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Rycona
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Title: The Maestro
Joined: Nov 01 2005
Location: Away from Emerald Weapon
PostPosted: Feb 05 2007 01:54 am Reply with quote Back to top

My girlfriend came upon this and I find this to be awesome as I'm highly fond of mathematics. I've never heard of this before, so if this is common knowledge, I apologize.



I don't know if it works all the time or only with certain numbers. I'm going to test it now.


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Rycona
Moderator
Title: The Maestro
Joined: Nov 01 2005
Location: Away from Emerald Weapon
PostPosted: Feb 05 2007 02:28 am Reply with quote Back to top

I tested it multiplying up to two five-digit numbers, so I think it's a solid method. This is neato.


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Valdronius
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Title: SydLexia COO
Joined: Aug 22 2005
Location: The Great White North
PostPosted: Feb 05 2007 02:56 am Reply with quote Back to top

Yeah, it's mathematically sound. If you multiply m x n, there will be m + n - 1 'sections' to count. The numbers in those sections are going to be the numbers that have the same first digit log10.

In the second example, 1x1, 2x2, and 3x3, all get added in the middle section because 100x1, 20x20, and 3x300 all have a log10 of 2 (floored).

EDIT: Sorry, I worded that wrong. The log of the individual numbers (floored) will sum to be the same in each section.
(i.e. log 100 = 2, log 1 = 0, 2 + 0 = 2)


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Murdar Machene
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Title: bimmy
Joined: Nov 06 2005
Location: the black warriors turf
PostPosted: Feb 05 2007 11:58 am Reply with quote Back to top

Neat! It's like a calculator on paper, much easier to do than a bunch of bullshit in your head.

Also, that guy writes 9's like lowercase g's.
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Rycona
Moderator
Title: The Maestro
Joined: Nov 01 2005
Location: Away from Emerald Weapon
PostPosted: Feb 05 2007 03:20 pm Reply with quote Back to top

Murdar Machene wrote:
Neat! It's like a calculator on paper, much easier to do than a bunch of bullshit in your head.

Also, that guy writes 9's like lowercase g's.


Yea. That really bothered me.


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Tishwitch
Title: PornStarExtraordinaire
Joined: Jul 01 2006
Location: Winter Wonderland
PostPosted: Feb 05 2007 04:47 pm Reply with quote Back to top

I like calculators... but if I ever end up on a deserted island and get so bored I feel the need to multipy coconuts, I'll draw lines in the sand.

Thanks guys!


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