1. Academy of Vedic Mathematics www.vedicmaths.org
Vedic Mathematics founded by Sri Bharati Krsna Tirthaji ( ) Shankaracharya of Govardhan Math, Puri
Academy of Vedic Mathematics

2. Academy of Vedic Mathematics www.vedicmaths.org
Squaring Numbers ending in 5
By One More Than the One Before
352 = 12 25
752 = 56 25
(4½)2 = 20
6.52 =
42. 25
Academy of Vedic Mathematics

3. Academy of Vedic Mathematics www.vedicmaths.org
By One More Than the One Before
43 x 47 = 20 21
72 x 78 = 56 16
89 x 81 = 72 09
Academy of Vedic Mathematics

4. Multiplying numbers by 11
Academy of Vedic Mathematics

5. Multiplying numbers by 11
32 x 11
= 3 5 2 3 5 ? 2
Academy of Vedic Mathematics

6. Multiplying numbers by 11
75 x 11
= 8 2 5 7 12 ? 5
Academy of Vedic Mathematics

7. Multiplying numbers by 11
4 3 2 x 11 = 4 ? 7 ? 5 2
Academy of Vedic Mathematics

8. Multiplying numbers by 11
x 11 = 3 4 ? ? 7 13 ? 7
Academy of Vedic Mathematics

9. Instant Subtractions by All from 9 and Last from 10
Sanskrit Sutra: Nikhilam Navatashcaram Dasatah
Academy of Vedic Mathematics

10. Academy of Vedic Mathematics www.vedicmaths.org
All from 9 and Last from 10
Subtractions –
Subtract from 9
Subtract from 9
Subtract from 10
= 7 1 7
So our answer is 1000 – 283 = 717
Academy of Vedic Mathematics

11. Academy of Vedic Mathematics www.vedicmaths.org
All from 9 and Last from 10
Subtractions
All from 9 and last from 10 always works for subtractions from numbers consisting of powers of 10 like 100, 1000, 10,000 etc
Academy of Vedic Mathematics

12. Academy of Vedic Mathematics www.vedicmaths.org
All from 9 and Last from 10
Subtractions
, –
Subtract from 9
Subtract from 9
Subtract from 9
Subtract from 10
= 5 8 4 4
So our answer is 10,000 – 4156 = 5844
Academy of Vedic Mathematics

13. Academy of Vedic Mathematics www.vedicmaths.org
All from 9 and Last from 10
Subtractions
For 10,000 – 76 in which we have more zeros than figures in the number being subtracted, we simply assume that 76 is 0076 and then subtract.
So 10,000 – 76 becomes 10,000 – 0076 = 9924
And 1000 – 38 becomes 1000 – 038 = 962
Academy of Vedic Mathematics

14. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Numbers below 10 8 7
– 2 6
– 4
– 3
– 4 5
/ 6 2
/ 6
= 3 / 6 1
Academy of Vedic Mathematics

15. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Numbers below 100
100 89 97
– 11 98 97
– 02
– 3
– 3 86
/ 33 95
/ 06
Vedic Challenge! 89
– 11
888
997
–112
– 11
– 3
/ 21 1 78
= 79/21
885
336
Academy of Vedic Mathematics

16. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Mentally
94 x 98
= 9212
100 89 97
– 11
– 3
97 x 94
= 9118 86
/ 33
88 x 97
= 8536
Academy of Vedic Mathematics

17. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Numbers above 10 13 18
+ 3 12 13
+ 2
+ 8
+ 3 21
/ 4 2
= 234 15
/ 6
Vedic Challenge!
103
104
+ 03
+ 4
107
/ 12
Academy of Vedic Mathematics

18. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Numbers Above the Base
123
103
+ 23
102
103
+ 02
+ 3
+ 3
126
/ 69
105
/ 06
1012
1003
+ 12
+ 3
1015
/036
Academy of Vedic Mathematics

19. Academy of Vedic Mathematics www.vedicmaths.org
The Base Method
Squaring Near a Base
101
x 101
102 01
102
x 102
104 04
103
x 103
106 09
Academy of Vedic Mathematics