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Multiplication

 
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Multiplication
Author Message
Eric
Site Admin


Joined: 01 Dec 2003
Posts: 2486
Location: California

Post Multiplication Reply with quote
Today I saw a cool video on yahoo that lets a person multiply up to 99*99 easily. They did 73*24 in the video.

For example, let's say we want to multiply 89*67:

Code:

A. Draw the Squares:
 ___________
|     |     |
|  /  |  /  |
|_____|_____|
|     |     |
|  /  |  /  |
|_____|_____|

B. Place the Numbers:
   8     9
 ___________
|     |     |
|  /  |  /  | 6
|_____|_____|
|     |     |
|  /  |  /  | 7
|_____|_____|

C. First Square = 8 times 6 is 48 or 4/8:
   8     9
 ___________
|4    |     |
|  /  |  /  | 6
|____8|_____|
|     |     |
|  /  |  /  | 7
|_____|_____|

D. Second Square = 9 times 6 is 54 or 5/4:
   8     9
 ___________
|4    |5    |
|  /  |  /  | 6
|____8|____4|
|     |     |
|  /  |  /  | 7
|_____|_____|

E. Third Square = 8 times 7 is 56 or 5/6:
   8     9
 ___________
|4    |5    |
|  /  |  /  | 6
|____8|____4|
|5    |     |
|  /  |  /  | 7
|____6|_____|

F. Fourth Square = 9 times 7 is 63 or 6/3:
   8     9
 ___________
|4    |5    |
|  /  |  /  | 6
|____8|____4|
|5    |6    |
|  /  |  /  | 7
|____6|____3|

G. Get Fourth Digit from bottom right = 3 so we write 3:
   8     9
 ___________
|4    |5    |
|  /  |  /  | 6
|____8|____4|
|5    |6    |
|  /  |  /  | 7
|____6|____3|

         3

H. Get Third Digit from second to bottom = 6+6+4 or 16 so we write the 6 and carry the 1:
   8     9
 ___________
|4    |5    |
|  /  |  /  | 6
|____8|____4|
|5    |6    |
|  /  |  /  | 7
|____6|____3|

   6     3

I. Get Second Digit from second to top = 1+5+8+5 or 19 so we write the 9 and carry the 1:
     8     9
   ___________
  |4    |5    |
  |  /  |  /  | 6
  |____8|____4|
  |5    |6    |
9 |  /  |  /  | 7
  |____6|____3|

     6     3

J. Get First Digit from top = 1+4 so we write 5:
     8     9
   ___________
  |4    |5    |
5 |  /  |  /  | 6
  |____8|____4|
  |5    |6    |
9 |  /  |  /  | 7
  |____6|____3|

     6     3

K. Four Digits are 5963 which is the answer.


_________________
Check out my video for the 9th chip trick contest: http://www.21ace.com/video-pictures/albums/userpics/10002/Eric-9th-Chip-Contest.wmv
Sun Jul 15, 2007 3:17 pm View user's profile Send private message
SleepWalkers
Straight Flush
Straight Flush


Joined: 10 Sep 2004
Posts: 750
Location: FL

Post Reply with quote
Is this just supposed to be a fun way to do it, or a practical way?

_________________
10th entry:
http://youtube.com/watch?v=rFpdRQxISj4


21ace youtube group:
http://www.youtube.com/group/21ace
Sun Jul 15, 2007 4:57 pm View user's profile Send private message
loka2
Pair


Joined: 21 Jan 2007
Posts: 8

Post Reply with quote
It is so much easier to do this in the head Wink, all you have to know is the times table from 0*0 to 9*9 and keep track of some some numbers.

89*67

9*7=63
9*6(*10)=540
8(*10)*7=560
8(*10)*6(*10)=4800

63+540+560+4800=5963

And I agree with SleepWalkers, is this a smart and quick way or just fun Confused
Mon Jul 16, 2007 12:06 pm View user's profile Send private message
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