MULTIPLICATION WITH 99999

MULTIPLICATION WITH  99999

With less than 5 seconds

In the whole number series 9 is a most interesting number ,and so multiplication by 9 is also very interesting in it self .

If a number is to be multiplied by another number consisting of only 9's  or a series of 9's the answer can be arrived in very easy and amazing way.

The formulae used for these calculation are :

         1.By one less than the one before

         2.All from nine and last from ten  

When two number are multiplied any one of them is the multiplicand and the other is the multiplier .

Ex.  23× 99, here we consider 23 is a multiplicand and the other number ,i.e 99 as multiplier.

In this topic ,whenever we are talking about a number having 9's we will consider that number as a multiplier.

We have categorized the multiplication by 9's in three types according to the number of 9's present in the multiplier. 

TYPE  1 :  MULTIPLICANT  DIGIT  = MULTIPLIER DIGIT

When the number of digit in the multiplicand ( number to be multiplied ), are equal to the numbers of 9's in the multiplier.

The answer compose in two parts ; LHS & RHS For LHS,  we apply the Formulae : by one less than the one before , i.e. subtract one from the multiplicand. Fo r RHS,we write the compliment of the multiplicand, by using the formulae. :”all from nine and last from ten”

Example 1.  46 ×  99

46  is a two digit number and 99 has also a two 9's in it.

for LHS. subtract 1 from 46 i.s. 46-1=45

for RHS. write the compliment of 46 i.e. 54    

so answer is 4554

       46 ×  99 = 4554

Example 2.  389 ×  999

389  is a three digit number and 999 has also a three 9's in it.
for LHS. subtract 1 from 389 i.s. 389-1=388
for RHS. write the compliment of 389 i.e. 611  
so answer is 388611

       389 ×  999 = 388611.



Example 3.  942678 ×  999999

942678 is a six digit number and 999999 has also a six 9's in it.
for LHS. subtract 1 from 942678  i.s. 942678-1=942677
for RHS. write the compliment of 942678 i.e. 057322  
so answer is 942677057322

      942678 ×  999999 = 942677057322

Isn't it amazing to find the answer of such a big calculation a simple subtraction.

https://youtu.be/uo1zUxtkUc0 

https://youtu.be/uo1zUxtkUc0

Method of SUBTRACTION

                                                     Method of SUBTRACTION
                                                  "  using Ekadhikena Poorvena "

Subtraction is fundamental operation in mathematics , which is often used to find the difference between two given number .Sometime it also termed as inverse of  addition . In the process of subtraction using vedic method , " sutra Ekadhikena Poorvena "  Or " Nikhilam Navataha" can be used.

https://www.youtube.com/watch?v=sJGCoPcXLuM&t=419s 

Magic of math

                 Vedic Mathematics is the name to the ancient system of Indian mathematics which was discovered from the Vedas between 1911 and 1918 By Sri Bharati Krishna Tirhaji (1884 - 1960). According to his research all of mathematics is based on sixteen Sutras, or word-formulae. For example, 'Vertically and Crosswise' is one of these Sutras . These formulae describe the way the mind naturally works and are therefore a great help in directing the student to the appropriate method of solution.

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