Multiplication Using Multiplication

(Urdhva Tiryagbhyaam)

Consider the following example :

            37 * 33

Step 1 : Write it as follows

                    37

                    33

Step 2 : Multiply the left most column vertically and  write it below.

             Multiply 3 * 3 to get 9

                    37

                    33

                    9

Step 3 : Next multiply diagonally and add

            i.e. (3*3) + (3*7) = 9 + 21 = 30

Since 30 is a 2 digit number put the last digit (here '0' ) next to 9 and the other digits (here '3' ) below 9

                    37

                    33

                    90

                    3

Step 4 :  Now multiply the RHS column and put it below and total to get the Answer.

                    37

                    33

                    901

                    32 

                   1221

  Hence 1221 is the Answer

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This method can be extended for any number of digits .....following are the various steps:-