Vedic Mathematics- Vinculum Numbers
-
Upload
culturalcomputingindia -
Category
Education
-
view
602 -
download
19
Transcript of Vedic Mathematics- Vinculum Numbers
![Page 1: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/1.jpg)
Vedic MathematicsCultural Computing Initiatives
www.culturalcomputingindia.com
![Page 2: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/2.jpg)
www.culturalcomputingindia.com
DefinitioDefinition:n: Vinculum numbers are a mixture of positive digits and
negative digits in the same number.
Two sutras are used to convert Vinculum to Normal.
“Nikhilam navatascaramam dasatah” “Ekanyunena purvena”
Note: Using Vinculum numbers, numbers which have digits greater than5 can be reduced to numbers which have all digits less than or equal to 5.
![Page 3: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/3.jpg)
www.culturalcomputingindia.com
Algorithm:Take complement of bar (negative) digits.
Subtract one from the digit preceding the bar digit(s).
Note: Only digits that have a bar on them are converted to natural numbers. 0 =0. This can be used to make the conversion simpler,.
![Page 4: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/4.jpg)
www.culturalcomputingindia.com
Vinculum To Normal:Find Normal No of 2 1
91Complement of 1=9
Previous digit -1=2-1=1
Ans: 19
Sutra: “Ekanyunena purvena”
2 1
![Page 5: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/5.jpg)
www.culturalcomputingindia.com
Find Normal No of = 3 1 2
22 9Next no of bar digit no change then 2=2
Complement of 1 is 9
Previous digit 3-1=2
Ans: 292
3 1 2
![Page 6: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/6.jpg)
www.culturalcomputingindia.com
Find Normal No of = 3 0 2 1
3 0 2 1
(0 is left to a bar no extend the bar to zero also)
Complement of 02=98
Previous of 02 is 3,so 3-1=2
All other places are retained as they are then 1=1
Ans: 2981
19 823 0 2 1
![Page 7: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/7.jpg)
www.culturalcomputingindia.com
Find Normal No of = 3 4 2 1 3
6 9
3 4 2 1 3
2 1 3
9 is Complement of 1 & 6 is Complement of 4
Previous digits 3&2 are reduced by 1,so2&1
All other places are retained as they are then 3=3
Ans: 26193
![Page 8: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/8.jpg)
www.culturalcomputingindia.com
Normal To VinculumFind Vinculum No of 19
12
Here 9 is the bigger digit (Complement of 9=1 )
1 added to the previous digit then 1+1=2
Ans: 21
Sutra: “Ekadhikena Purvena “
1 9
![Page 9: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/9.jpg)
www.culturalcomputingindia.com
Find Vinculum No of 387
1 34
Complement of 87 is 13
1 added to the previous digit then 3+1=4
Ans: 413
3 8 7
![Page 10: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/10.jpg)
www.culturalcomputingindia.com
Find Vinculum No of 2917
1 33 2
Complement of 9&7 in their respective position
1 added to the left position of the Complement no
Ans: 3123
2 9 1 7
![Page 11: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/11.jpg)
www.culturalcomputingindia.com
Find Vinculum No of 1973
0 32 3
03 is complement of 97
1 added to the previous digit then 1+1=2
Other digits retained as they are 3=3
Ans: 2033
1 9 7 3
![Page 12: Vedic Mathematics- Vinculum Numbers](https://reader033.fdocuments.us/reader033/viewer/2022061421/589fbf071a28ab91398b4b25/html5/thumbnails/12.jpg)
www.culturalcomputingindia.com
Find Vinculum & Normal of the following numbers :
326344042
23144
285743962
17064
491893826
2894
512114234
3114
1)
2)
3)
4)
5)
6)
7)
8)