Vedic Mathematics : Vedic Mathematics By Malay
What will we learn today? : What will we learn today? Multiplication made simple
Base other than 10, 100
Finding square of a number
Multiplication with 99,999,9999 etc. 2
Multiplication made simple : Multiplication made simple 9 8 - 2
9 5 - 5
------------
93 | 10
Here the base is 100 3
How it works? : How it works? (x-a)(x-b)=x(x-a-b)+ab
(x+a)(x+b)=x(x+a+b)+ab
(x+a)(x-b)=x(x+a-b)-ab 4
Some other cases : Some other cases 102 + 2 96 - 4 85 - 15
111 + 11 107 + 7 93 - 7
------------ ------------- -----------
113|22 _ __ 78|105
103|28 -----------
-------------- 7905
10272 5
Base other than 10, 100 : Base other than 10, 100 45 - 5
43 - 7
--------
38|35
*5
---------
190|35
----------
1935
Here the actual base is 50 and the virtual base is 10 6
Finding square of a number : Finding square of a number a2 - b2 = (a+b)(a-b)
therefore we write
9892 = (989+11)(989-11) + 112
= 1000*978+121
= 978121 7 a2 = (a+b)(a-b) + b2
some special cases : some special cases when sum of unit place is 10 and other numbers are same
103
107
---------
10*11|21
----------------
11021 8
Multiplication with 99,999,9999 : Multiplication with 99,999,9999 Just observe the pattern here
9*1 = 0|9
9*2 = 1|8
9*3 = 2|7
9*4 = 3|6
9*5 = 4|5
9*6 = 5|4
9*7 = 6|3
9*8 = 7|2
9*9 = 8|1
Note: This formula holds good when number of 9s in the multiplier are
more or equal to the digits in the multiplicand. 9 9999 * 7858 = 7857 | 2142
9999999 * 56432 = 56431 | 9943568
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