Vedic Maths - Tutorial 10 - The Sutra Ekanyunena purvena comes as a Sub-sutra to Nikhilam which gives the meaning 'One less than the previous' or 'One less than the one before'.

Tutorial 10

The Sutra Ekanyunena purvena comes as a Sub-sutra to Nikhilam which gives the meaning 'One less than the previous' or 'One less than the one before'.

1) The use of this sutra in case of multiplication by 9,99,999.. is as follows .

Method :

a) The left hand side digit (digits) is ( are) obtained by applying the ekanyunena purvena i.e. by deduction 1 from the left side digit (digits) .

e.g. ( i ) 7 x 9; 7 – 1 = 6 ( L.H.S. digit )

b) The right hand side digit is the complement or difference between the multiplier and the left hand side digit (digits) . i.e. 7 X 9 R.H.S is 9 - 6 = 3.

c) The two numbers give the answer; i.e. 7 X 9 = 63.

Example 1:   8 x 9  Step ( a ) gives 8 – 1 = 7 ( L.H.S. Digit )
                                  Step ( b ) gives 9 – 7 = 2 ( R.H.S. Digit )
                                  Step ( c ) gives the answer 72

Example 2:  15 x 99   Step ( a ) : 15 – 1 = 14
                                      Step ( b ) : 99 – 14 = 85 ( or 100 – 15 )
                                      Step ( c ) : 15 x 99 = 1485

Example 3: 24 x 99
Answer :

Example 4: 356 x 999
Answer :

Example 5: 878 x 9999
Answer :