31/03/2020
VEDIC MATHEMATICS
DAY 5: MULTLIPLICATION BY 9’s
The Vedic formula by one less than the one before (EKANYUNENA PURVENA) will use here along with NIKHILAM.
Ex:763 x 999 =
• Number of digits of both multiplicand (763) and multiplier (999) are same.
• Applicable only when multiplier have series of nine.
Steps: The number being multiplied by 9`s is first reduce by 1: 763 – 1 = 762. This is the first part of the answer.
Then All from nine and last from ten is applied to 763 to get 237, which is second part of the answer.
763 x 999= 762237
Ex: 1867 x 9999 = 18668033
1867-1 = 1866/ 8033
Ex: 2347 x 99999
Here, as 2347 has 4 figure and 99999 has 5 figures, we suppose 2347 to be 02347.
This is reduced by 1 to give 2346 for the first part of the answer. Then applying Nikhilam Sutra to get 97653. so, 2347 x 99999 = 234697653
• This method is not applicable when number of digit of multiplicand is more than multiplier. For eg. 365 x 99
• Note: In this case beejank must be zero. Because in beejank we consider 9 as zero and anything multiplied by zero is zero. so just check the beejank of answer, it should be nine or zero.
Home work
1)89 x 99 2)72 x 99 3) 19 x 99 4) 45 x 99 5)778 x 999 6)6784 x 9999 7)8653 x 9999 8) 78 x 999 9)124 x 9999 10) 8989 x 99999