Vedic Maths : Ekanyunena Purvena
Ekanyunena Purvena
'One less than the previous' or 'One less than the one before'
एकन्यूनेन पूर्वेन
Now we will cover special case of multiplying with ( x - 1)
A = a and B = x - 1
So A * B = a * ( x - 1)
= ax - a = ax - x + x - a = x * (a - 1) + ( x - a)
Here are examples
B = x - 1 |
n |
a - 1 |
x * ( a –
1 ) |
x - a |
|
10 |
9 |
1 |
9 |
90 |
9 |
2 |
9 |
1 |
1 |
10 |
8 |
3 |
9 |
1 |
2 |
20 |
7 |
4 |
9 |
1 |
3 |
30 |
6 |
5 |
9 |
1 |
4 |
40 |
5 |
6 |
9 |
1 |
5 |
50 |
4 |
7 |
9 |
1 |
6 |
60 |
3 |
8 |
9 |
1 |
7 |
70 |
2 |
9 |
9 |
1 |
8 |
80 |
1 |
11 |
2 |
10 |
1000 |
89 |
|
12 |
99 |
2 |
11 |
1100 |
88 |
13 |
99 |
2 |
12 |
1200 |
87 |
14 |
99 |
2 |
13 |
1300 |
86 |
15 |
99 |
2 |
14 |
1400 |
85 |
16 |
99 |
2 |
15 |
1500 |
84 |
17 |
99 |
2 |
16 |
1600 |
83 |
18 |
99 |
2 |
17 |
1700 |
82 |
19 |
99 |
2 |
18 |
1800 |
81 |
20 |
99 |
2 |
19 |
1900 |
80 |
77 |
99 |
2 |
76 |
7600 |
23 |
979 |
999 |
3 |
978 |
978000 |
21 |
777 |
999 |
3 |
776 |
776000 |
223 |
9879 |
9999 |
4 |
9878 |
98780000 |
121 |
1203579 |
9999999 |
7 |
1203578 |
12035780000000 |
8796421 |
9765431 |
9999999 |
7 |
9765430 |
97654300000000 |
234569 |
1234567809 |
9999999999 |
10 |
1234567808 |
12345678080000000000 |
8765432191 |
7 |
99 |
2 |
6 |
600 |
93 |
79 |
999 |
3 |
78 |
78000 |
921 |
798 |
99999 |
5 |
797 |
79700000 |
99202 |
79 |
9999999 |
7 |
78 |
780000000 |
9999921 |
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