Tuesday, February 16, 2010

Vertically and Crosswise

Multiple:
Question: Multiply 432 by 617.

Answer:

       432

    x 617

   3024

     432

 2592   

 266544



More the number of digits in the numbers, more lines and time you consume.
No more! Using the Sutra "Vertically and Crosswise", you have

Step 1 (mentally, don't write on notebook) : vertically (last digits) :

          2x7=14; write 4 carry 1

Step 2 (mentally) : crosswise (last two digits) :

          3x7 +2x1 = 23 +carry 1 = 24; write 4 carry 2

Step 3 : vertically and crosswise (three digits) :

           4x7 + 3x1 +2x6 = 43 +carry 2 = 45; write 5 carry 4

Step 4 : (move left; first two digits) :

        4x1+3x6 = 22 +carry 4 = 26; write 6 carry 2

Step 5 : (move left; first digit of each number) :

       4x6 = 24 +carry 2 = 26. End.

Write answer : 266544

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