SlideShare a Scribd company logo
1 of 62
Download to read offline
1
What is Vedic Mathematics ?
The “Vedic Mathematics” is called so because of its origin from Vedas. To be more
specific it has originated from “Atharva Vedas” the fourth Veda. “Atharva Veda” deals
with the branches like Engineering, Mathematics, Sculpture, Medicine and all other
sciences with which we are today aware of. Vedic Mathematics was rediscovered from
the Vedas between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). Accord-
ing to his research all of mathematics is based on sixteen Sutras or word-formulae and
thirteen sub-sutras. 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.
Perhaps the most striking feature of the Vedic system is its coherence. Instead of a
hotch-potch of unrelated techniques the whole system is beautifully interrelated and
unified: the general multiplication method, for example, is easily reversed to allow one-
line divisions and the simple squaring method can be reversed to give one-line square
roots. And these are all easily understood. This unifying quality is very satisfying, it
makes mathematics easy and enjoyable and encourages innovation.
In the Vedic system ‘difficult’ problems or huge sums can often be solved imme-
diately by the Vedic method. These striking and beautiful methods are just a part of a
complete system of mathematics which is far more systematic than the modern ‘sys-
tem’. Vedic Mathematics manifests the coherent and unified structure of mathematics
and the methods are complementary, direct and easy.
The simplicity of Vedic Mathematics means that calculations can be carried out
mentally (though the methods can also be written down). There are many advantages
in using a flexible, mental system. Pupils can invent their own methods, they are not
limited to the one ‘correct’ method. This leads to more creative, interested and intel-
ligent pupils.
Interest in the Vedic system is growing in education where mathematics teachers are
looking for something better and finding the Vedic system is the answer. Research is
being carried out in many areas including the effects of learning Vedic Maths on chil-
dren; developing new, powerful but easy applications of the Vedic Sutras in geometry,
calculus, computing etc.
But the real beauty and effectiveness of Vedic Mathematics cannot be fully appreci-
ated without actually practising the system. One can then see that it is perhaps the most
refined and efficient mathematical system possible.
2
1. By one more than the one before.
2. All from 9 and the last from 10.
3. Vertically and Cross-wise
4. Transpose and Apply
5. If the Samuccaya is the Same it is Zero
6. If One is in Ratio the Other is Zero
7. By Addition and by Subtraction
8. By the Completion or Non-Completion
9. Differential Calculus
10. By the Deficiency
11. Specific and General
12. The Remainders by the Last Digit
13. The Ultimate and Twice the Penultimate
14. By One Less than the One Before
15. The Product of the Sum
16. All the Multipliers
The Sixteen Main Sutras
33
1. Proportionately
2. The Remainder Remains Constant
3. The First by the First and the Last by the Last
4. For 7 the Multiplicand is 143
5. By Osculation
6. Lessen by the Deficiency
7. Whatever the Deficiency lessen by that amount and
set up the Square of the Deficiency
8. Last Totalling 10
9. Only the Last Terms
10. The Sum of the Products
11. By Alternative Elimination and Retention
12. By Mere Observation
13. The Product of the Sum is the Sum of the Products
The Thirteen Sub Sutras
44
CCCCC... OOOOOnneee nnuuummbbbbbbeeerr mmooorreee ttthhhhhhaaann 1111100000 aaanndddddd ooonneee lllllleeessssss ttthhhhhhaaann 1111100000
7
x 12
==========
9
x 13
==========
6
x 14
==========
6
x 13
==========
8
x 18
==========
9
x 13
==========
7
x 14
==========
6
x 16
==========
Session I
1. Mutilpication Base 10 - Nikhilam
Session I
1. Mutilpication Base 10 - Nikhilam
BBB... BBBooottthhhhhh nnuuummbbbbbbeeerrsss lllllleeessssss ttthhhhhhaaann 1111100000
7
x 8
==========
9
x 8
==========
6
x 8
==========
6
x 7
==========
8
x 8
==========
9
x 9
==========
7
x 9
==========
6
x 6
==========
6
AAAA... BBBooottthhhhhh nnuuummbbbbbbeeerrsss mmooorreee ttthhhhhhaaann 11110000
12
x 13
==========
14
x 12
==========
12
x 11
==========
16
x 13
==========
17
x 14
==========
16
x 15
==========
12
x 18
==========
14
x 16
==========
Session I
1. Mutilpication Base 10 - Nikhilam
77
Session II
1. Multiplication Base 100 - Nikhilam
AAAA.... BBBooootttthhhhh nnnuuuummmbbbbbbeeeerrrssss mmmoooorrreeee tttthhhhhaaaannn 11110000000000
102
x 105
==========
104
x 102
==========
102
x 107
==========
106
x 103
==========
109
x 104
==========
107
x 105
==========
101
x 112
==========
104
x 106
==========
88
Session II
1. Multiplication Base 100 - Nikhilam
BBB.. BBBootthhhhh nuumbbbbbeerrss llllleessss tthhhhhaan 11110000000
97
x 98
==========
99
x 98
==========
96
x 98
==========
92
x 97
==========
94
x 95
==========
99
x 99
==========
97
x 91
==========
96
x 92
==========
9
Session II
1. Multiplication Base 100 - Nikhilam
CCCCC... OOOOOnneee nnuuummbbbbbbeeerr mmooorreee ttthhhhhhaaann 111110000000000 aaanndddddd ooonneee lllllleeessssss ttthhhhhhaaann 111110000000000
97
x 102
==========
99
x 103
==========
96
x 104
==========
96
x 103
==========
99
x 104
==========
97
x 105
==========
91
x 112
==========
94
x 106
==========
10
Session II
2. Multiplication Base 50 - Nikhilam
57
x 52
==========
53
x 54
==========
51
x 55
==========
48
x 49
==========
47
x 46
==========
11
Session II
3. Multiplication Base 20 - Nikhilam
23
x 25
==========
22
x 24
==========
21
x 26
==========
18
x 19
==========
17
x 18
==========
12
Session III
2. Addition - Dot Method
2 3 4 7
1 4 5 6
5 6 8 7
+ 3 2 5 9
=========
2 3 5 6
7 8 2 3
3 6 7 3
+1 5 3 7
=========
4 5 7 8
1 3 5 6
5 8 8 9
+ 3 3 2 1
=========
5 8 9 6
5 9 7 8
1 4 5 6
+ 8 7 8 2
=========
5 7 2 1
8 9 2 6
1 3 5 5
+ 3 2 4 7
=========
1 2 3 5
4 5 6 8
2 8 9 6
+ 2 5 7 5
=========
9 8 6 5
1 5 9 3
5 6 2 8
+ 4 2 9 8
=========
2 6 5 7
6 4 7 8
6 5 8 2
+ 7 6 5 2
=========
5 6 2 8
1 2 5 4
5 8 9 5
+ 1 5 8 9
=========
13
Session III
2. Addition - Dot Method
5 3 4 7
1 7 5 5
6 6 4 7
+ 6 4 7 8
=========
5 3 5 6
7 8 2 3
5 6 3 8
+6 5 3 7
=========
5 8 8 9
1 3 5 6
6 8 3 9
+ 3 3 2 1
=========
4 8 9 6
5 7 7 8
3 8 5 6
+ 8 3 8 2
=========
1 7 2 1
3 2 2 6
1 3 3 5
+ 3 2 4 4
=========
4 2 3 5
3 3 6 8
2 8 3 6
+ 2 5 7 1
=========
3 8 6 5
1 7 9 3
5 6 6 8
+ 4 2 9 5
=========
3 6 5 7
6 3 7 8
6 5 2 2
+ 7 6 5 1
=========
3 6 2 8
1 2 5 4
3 8 3 5
+ 4 5 3 4
=========
14
1 0 0
- 7 3
=======
1 0 0
- 4 2
=======
1 0 0
- 3 8
=======
1 0 0
- 5 5
=======
1 0 0
- 2 2
=======
1 0 0 0
- 9 9 5
=======
1 0 0 0
- 8 7 2
=======
1 0 0 0
- 7 9 5
=======
1 0 0 0
- 5 8 7
=======
1 0 0 0
- 7 7 9
=======
1 0 0 0 0
- 8 8 6 8
========
1 0 0 0 0
- 8 6 9 7
========
Session IV
2. Subtraction – Compliment Method
15
1 0 0 0 0
- 7 5 8 9
========
1 0 0 0 0
- 9 8 9 7
========
1 0 0 0 0
- 8 8 9 7
========
1 2 4
- 1 7
=======
1 4 5
- 6 9
=======
1 3 2
- 6 6
=======
1 4 6
- 6 9
=======
1 2 8
- 4 6
=======
2 6 4
- 3 9
=======
1 2 7
- 5 9
=======
2 9 7
- 6 9
=======
Session IV
2. Subtraction – Compliment Method
16
4 2 4 3 2
- 5 9 1 8
===========
2 6 3 2 1
- 7 8 0 8
===========
1 7 0 4 2
- 9 5 3 1
===========
4 5 2 8
- 1 6 5 8
=========
3 6 4 5 7
- 1 6 9 9 8
===========
5 6 3 1 5 7
- 3 8 1 3 8 1
===========
5 7 2 1 2 2
- 4 8 8 0 1 3
===========
5 2 6 0 8 9
- 5 1 1 0 8 6
===========
2 6 2 9
- 4 6 3
=======
1 3 4 5
- 6 8 3
=======
3 5 3 2
- 5 8 7
=======
Session IV
2. Subtraction – Compliment Method
17
Session V
1. Tables - 10x10
FFFiiinnggggggggggeeerr MMMeeettthhhhhhooodddddd
18
Session V
2. Tables - 20x20
MMMuuutttiiillllllppppppppppiiicccaaatttiiiooonn BBBaaassseee 11110000 - NNNiiikkkkkkhhhhhiiillllllaaamm
19
Session V
3. Tables - 20x10
MMMuuutttiiillllllppppppppppiiicccaaatttiiiooonn BBBaaassseee 1111100000 - NNNiiikkkkkkhhhhhhiiillllllaaamm
BBBrreeeaaakkkkkkuuupppppppppppp MMMeeettthhhhhhooodddddd
20
Session VI
Mutilpication
35
x 35
=====
65
x 65
=====
95
x 95
=====
15
x 15
=====
125
x 125
=====
205
x 205
=====
25
x 25
=====
45
x 45
=====
115
x 115
=====
105
x 105
=====
AAAA.. NNNuumbbbbbeerss eendddddiiingggggggg wwiiittthhhhh 555 - EEEkkkkkaadddddhhhhhiiikkkkkeenaa PPPuurvveenaa
21
Session VI
Mutilpication
BBB.. LLLaaasssttt ddddddiiiggggggggggiiitttsss aaaddddddddddddiiinngggggggggg tttooo 11110000 aaannddddd oootthhhhhheeerr ddddddiiiggggggggggiiitttsss sssaaammeee - AAAAnntttaaayyyyyyyyyyooorr DDDaaassskkkkkkeeeppppppppppiii
32
x 38
=====
63
x 67
=====
94
x 96
=====
115
x 115
=====
121
x 129
=====
21
x 29
=====
56
x 54
=====
73
x 77
=====
91
x 99
=====
108
x 102
=====
22
Session VI
1. Multiplication
35
x 99
=====
65
x 99
=====
95
x 99
=====
115
x 999
=====
125
x 999
=====
022
x 999
=====
0056
x 9999
=====
0738
x 9999
=====
0912
x 9999
=====
0108
x 9999
=====
CCCC... MMMuuulllllltttiiipppppppppplllllliiicccaaatttiiiooonn bbbbbyyyyyyyyyy 9999,,,,,,99999999,,,,,,999999999999 - EEEkkkkkkaaannuuuyyyyyyyyyyeeennaaa PPPuuurrvvveeennaaa
23
Session VI
1. Multiplication
24
x 11
=======
54
x 11
=======
123
x 11
=======
456
x 11
=====
999
x 11
=====
239
x 11
=======
5876
x 11
=========
12345
x 11
=========
654878
x 11
=========
589765
x 11
=========
DDD... MMMuuulllllltttiiipppppppppplllllliiicccaaatttiiiooonn bbbbbbyyyyyyyyyy 1111111111
24
Session VII
1. Multiplication – Urdhva Triyaghyam
32
x 13
=====
23
x 43
=====
55
x 63
=====
74
x 67
=====
45
x 96
=====
34
x 56
=====
67
x 89
=====
18
x 59
=====
54
x 75
=====
17
x 29
=====
25
x 18
=====
31
x 42
=====
25
Session VII
1. Multiplication – Urdhva Triyaghyam
213
x 432
=====
324
x 543
=====
513
x 152
=====
973
x 36
=====
64
x 158
=====
972
x 42
=====
213
x 432
=====
321
x 545
=====
516
x 153
=====
26
2 1
x 2 9
=======
8 6
x 1 4
=======
5 6 7
x 1 1
=======
1 4 5
x 1 1
=======
7 8 7
x 9 9 9 9
=======
3 2 4
x 1 8 0
=======
1 2 3
x 4 5 6
=======
7 8 6
x 1 2 8
=======
7 8
x 9 9 9
=======
9 5
x 9 5
=======
1 2 8
x 1 2 2
=======
Session VII
2. Mixed Multiplication Practice
27
Session VII
2. Mixed Multiplication Practice
21
x 43
=====
324
x 11
=====
513
x 999
=====
250
x 540
=====
0973
x 9999
=====
64
x 58
=====
72
x 78
=====
85
x 85
=====
21
x 11
=====
32
x 99
=====
51
x 59
=====
25
x 25
=====
28
24/9 =
Q =
R =
44/9 =
Q =
R =
62/9 =
Q =
R =
27/9 =
Q =
R =
83/9 =
Q =
R =
65/9 =
Q =
R =
9) 2 7 8
Q = R =
9) 3 3 9
Q = R =
9) 2 2 4
Q = R =
9) 4 5 6
Q = R =
9) 8 3 2
Q = R =
9) 4 5 6
Q = R =
Session VIII
1. Division – By method of deviation
29
Session VIII
1. Division – By method of deviation
9) 1 8 5 6 2
Q = R =
9) 3 4 2 1 0
Q = R =
9) 8 7 6 5 2
Q = R =
9) 1 2 3 4 5 6
Q = R =
9) 8 7 8 2 8 4
Q = R =
9) 1 5 6 3 2
Q = R =
9) 4 5 6 7
Q = R =
9) 1 8 7 3
Q = R =
9) 2 5 6 9
Q = R =
30
Session VIII
2. Squares - Yavdunam Tavdunam
14
x 14
=====
12
x 12
=====
15
x 15
=====
11
x 11
=====
108
x 108
=====
103
x 103
=====
105
x 105
=====
99
x 99
=====
22
x 22
=====
24
x 24
=====
26
x 26
=====
27
x 27
=====
32
x 32
=====
35
x 35
=====
205
x 205
=====
Vedicmaths 09 12
Vedicmaths 09 12

More Related Content

What's hot

What's hot (20)

Vedic Mathematics For All
Vedic Mathematics For AllVedic Mathematics For All
Vedic Mathematics For All
 
Vedicmath
VedicmathVedicmath
Vedicmath
 
Vedic math some tips and tricks
Vedic math some tips and tricksVedic math some tips and tricks
Vedic math some tips and tricks
 
Vedic Mathematics ppt
Vedic Mathematics pptVedic Mathematics ppt
Vedic Mathematics ppt
 
vedic mathematics
vedic mathematics vedic mathematics
vedic mathematics
 
Fundamental+and+vedic+mathematics
Fundamental+and+vedic+mathematicsFundamental+and+vedic+mathematics
Fundamental+and+vedic+mathematics
 
VEDIC MATHS
VEDIC MATHSVEDIC MATHS
VEDIC MATHS
 
Vedic maths- its relevance to real learning
Vedic maths- its relevance to real learningVedic maths- its relevance to real learning
Vedic maths- its relevance to real learning
 
vedic maths...
vedic maths...vedic maths...
vedic maths...
 
Vedic maths history and development
Vedic maths history and developmentVedic maths history and development
Vedic maths history and development
 
Vedic maths ppt by lakshay virmani
Vedic maths ppt by lakshay virmaniVedic maths ppt by lakshay virmani
Vedic maths ppt by lakshay virmani
 
Maths Quiz
Maths QuizMaths Quiz
Maths Quiz
 
Maths quiz
Maths quizMaths quiz
Maths quiz
 
Middle school math quiz
Middle school math quizMiddle school math quiz
Middle school math quiz
 
Math 'e' Magic
Math 'e' MagicMath 'e' Magic
Math 'e' Magic
 
Mathematics Quiz Class 9
Mathematics Quiz Class 9Mathematics Quiz Class 9
Mathematics Quiz Class 9
 
PPT on Vedic maths
PPT on Vedic mathsPPT on Vedic maths
PPT on Vedic maths
 
GCSE Foundation Revision Quiz
GCSE Foundation Revision QuizGCSE Foundation Revision Quiz
GCSE Foundation Revision Quiz
 
Vedic mathematics Tricks and Shortcuts
Vedic mathematics Tricks and ShortcutsVedic mathematics Tricks and Shortcuts
Vedic mathematics Tricks and Shortcuts
 
Mathematics high school level quiz - Part I
Mathematics high school level quiz - Part IMathematics high school level quiz - Part I
Mathematics high school level quiz - Part I
 

Viewers also liked

Chapter 4 atomic structure
Chapter 4 atomic structureChapter 4 atomic structure
Chapter 4 atomic structure
Ashwani Kumar
 

Viewers also liked (20)

Calligraphy 09 12
Calligraphy 09 12Calligraphy 09 12
Calligraphy 09 12
 
VGENIUST for Schools Including ICT, Intrinsic & Vedic Math Training
VGENIUST for Schools Including ICT, Intrinsic & Vedic Math TrainingVGENIUST for Schools Including ICT, Intrinsic & Vedic Math Training
VGENIUST for Schools Including ICT, Intrinsic & Vedic Math Training
 
Guru05 13 15
Guru05 13 15Guru05 13 15
Guru05 13 15
 
Brahmasamhita 09 12
Brahmasamhita 09 12Brahmasamhita 09 12
Brahmasamhita 09 12
 
shiksashtakam_09_12
shiksashtakam_09_12shiksashtakam_09_12
shiksashtakam_09_12
 
Yogaformodernage 09 12
Yogaformodernage 09 12Yogaformodernage 09 12
Yogaformodernage 09 12
 
Guru03 13 15
Guru03 13 15Guru03 13 15
Guru03 13 15
 
Guru04 13 15
Guru04 13 15Guru04 13 15
Guru04 13 15
 
Guru02 13 15
Guru02 13 15Guru02 13 15
Guru02 13 15
 
Guru23 13 15
Guru23 13 15Guru23 13 15
Guru23 13 15
 
Guru24 13 15
Guru24 13 15Guru24 13 15
Guru24 13 15
 
Guru01 13 15
Guru01 13 15Guru01 13 15
Guru01 13 15
 
Vedic math
Vedic mathVedic math
Vedic math
 
Vedic maths book
Vedic maths bookVedic maths book
Vedic maths book
 
Lasers
LasersLasers
Lasers
 
SCIENTIST AND MEDIA
SCIENTIST AND MEDIA SCIENTIST AND MEDIA
SCIENTIST AND MEDIA
 
Chapter 4 atomic structure
Chapter 4 atomic structureChapter 4 atomic structure
Chapter 4 atomic structure
 
Gas laws glk xi_chemistry
Gas laws glk xi_chemistryGas laws glk xi_chemistry
Gas laws glk xi_chemistry
 
Vedic mathematics & sutras - walnutexcellence
Vedic mathematics & sutras - walnutexcellenceVedic mathematics & sutras - walnutexcellence
Vedic mathematics & sutras - walnutexcellence
 
Guru10 13 15
Guru10 13 15Guru10 13 15
Guru10 13 15
 

Similar to Vedicmaths 09 12

Tables charts-formulas-symbols
Tables charts-formulas-symbolsTables charts-formulas-symbols
Tables charts-formulas-symbols
Abhi Sharma
 
Perkalian kelas 2
Perkalian kelas 2Perkalian kelas 2
Perkalian kelas 2
Ven Dot
 

Similar to Vedicmaths 09 12 (20)

What is vedic maths
What is vedic mathsWhat is vedic maths
What is vedic maths
 
Shortcut method
Shortcut methodShortcut method
Shortcut method
 
NLC Math 8_I_Lesson 33.pptx
NLC Math 8_I_Lesson 33.pptxNLC Math 8_I_Lesson 33.pptx
NLC Math 8_I_Lesson 33.pptx
 
Solving Quadratic Equations by Extracting Square Roots
Solving Quadratic Equations by Extracting Square RootsSolving Quadratic Equations by Extracting Square Roots
Solving Quadratic Equations by Extracting Square Roots
 
GRADE-6-SESSION-3.pptx
GRADE-6-SESSION-3.pptxGRADE-6-SESSION-3.pptx
GRADE-6-SESSION-3.pptx
 
Tables charts-formulas-symbols
Tables charts-formulas-symbolsTables charts-formulas-symbols
Tables charts-formulas-symbols
 
P2 booklet t1( 2014 2015)
P2 booklet t1( 2014 2015)P2 booklet t1( 2014 2015)
P2 booklet t1( 2014 2015)
 
TRANSFORMACIONES LINEALES
TRANSFORMACIONES LINEALESTRANSFORMACIONES LINEALES
TRANSFORMACIONES LINEALES
 
Vedic maths tutorial (interactive)
Vedic maths tutorial (interactive)Vedic maths tutorial (interactive)
Vedic maths tutorial (interactive)
 
Vedic maths tutorial (interactive)
Vedic maths tutorial (interactive)Vedic maths tutorial (interactive)
Vedic maths tutorial (interactive)
 
Math Short Tricks ( english)
Math Short Tricks ( english)Math Short Tricks ( english)
Math Short Tricks ( english)
 
Maths week 2
Maths week 2Maths week 2
Maths week 2
 
Perkalian kelas 2
Perkalian kelas 2Perkalian kelas 2
Perkalian kelas 2
 
Sampling-and-Sampling-Distribution .pptx
Sampling-and-Sampling-Distribution .pptxSampling-and-Sampling-Distribution .pptx
Sampling-and-Sampling-Distribution .pptx
 
Multiplication Tables 1.pdf
Multiplication Tables 1.pdfMultiplication Tables 1.pdf
Multiplication Tables 1.pdf
 
Maths home learning wb 29th june
Maths home learning wb 29th juneMaths home learning wb 29th june
Maths home learning wb 29th june
 
15minute-math-integers.ppt
15minute-math-integers.ppt15minute-math-integers.ppt
15minute-math-integers.ppt
 
Equations.pptx
Equations.pptxEquations.pptx
Equations.pptx
 
Maths T5 W1
Maths T5 W1Maths T5 W1
Maths T5 W1
 
Maths T6 W1
Maths T6 W1Maths T6 W1
Maths T6 W1
 

More from Krishna's Calling (20)

Sanskrit sloka classes_m2
Sanskrit sloka classes_m2Sanskrit sloka classes_m2
Sanskrit sloka classes_m2
 
Jagannathji module 5_8_years
Jagannathji module 5_8_yearsJagannathji module 5_8_years
Jagannathji module 5_8_years
 
On the way to krsna
On the way to krsnaOn the way to krsna
On the way to krsna
 
New krishna creation
New krishna creationNew krishna creation
New krishna creation
 
Krishnapriya
KrishnapriyaKrishnapriya
Krishnapriya
 
Getting-To-Know-Krishna
Getting-To-Know-KrishnaGetting-To-Know-Krishna
Getting-To-Know-Krishna
 
Guru22 13 15
Guru22 13 15Guru22 13 15
Guru22 13 15
 
Guru21 13 15
Guru21 13 15Guru21 13 15
Guru21 13 15
 
Guru20 13 15
Guru20 13 15Guru20 13 15
Guru20 13 15
 
Guru19 13 15
Guru19 13 15Guru19 13 15
Guru19 13 15
 
Guru18 13 15
Guru18 13 15Guru18 13 15
Guru18 13 15
 
Guru17 13 15
Guru17 13 15Guru17 13 15
Guru17 13 15
 
Guru16 13 15
Guru16 13 15Guru16 13 15
Guru16 13 15
 
Guru15 13 15
Guru15 13 15Guru15 13 15
Guru15 13 15
 
Guru14 13 15
Guru14 13 15Guru14 13 15
Guru14 13 15
 
Guru13 13 15
Guru13 13 15Guru13 13 15
Guru13 13 15
 
Guru12 13 15
Guru12 13 15Guru12 13 15
Guru12 13 15
 
Guru11 13 15
Guru11 13 15Guru11 13 15
Guru11 13 15
 
Guru09 13 15
Guru09 13 15Guru09 13 15
Guru09 13 15
 
Guru08 13 15
Guru08 13 15Guru08 13 15
Guru08 13 15
 

Recently uploaded

The basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptxThe basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptx
heathfieldcps1
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
中 央社
 
ppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyesppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyes
ashishpaul799
 
Financial Accounting IFRS, 3rd Edition-dikompresi.pdf
Financial Accounting IFRS, 3rd Edition-dikompresi.pdfFinancial Accounting IFRS, 3rd Edition-dikompresi.pdf
Financial Accounting IFRS, 3rd Edition-dikompresi.pdf
MinawBelay
 

Recently uploaded (20)

Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
 
Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...Navigating the Misinformation Minefield: The Role of Higher Education in the ...
Navigating the Misinformation Minefield: The Role of Higher Education in the ...
 
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdf
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdfPost Exam Fun(da) Intra UEM General Quiz - Finals.pdf
Post Exam Fun(da) Intra UEM General Quiz - Finals.pdf
 
The basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptxThe basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptx
 
How to Manage Notification Preferences in the Odoo 17
How to Manage Notification Preferences in the Odoo 17How to Manage Notification Preferences in the Odoo 17
How to Manage Notification Preferences in the Odoo 17
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the life
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
 
ppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyesppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyes
 
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
 
slides CapTechTalks Webinar May 2024 Alexander Perry.pptx
slides CapTechTalks Webinar May 2024 Alexander Perry.pptxslides CapTechTalks Webinar May 2024 Alexander Perry.pptx
slides CapTechTalks Webinar May 2024 Alexander Perry.pptx
 
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptxREPRODUCTIVE TOXICITY  STUDIE OF MALE AND FEMALEpptx
REPRODUCTIVE TOXICITY STUDIE OF MALE AND FEMALEpptx
 
“O BEIJO” EM ARTE .
“O BEIJO” EM ARTE                       .“O BEIJO” EM ARTE                       .
“O BEIJO” EM ARTE .
 
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjjStl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
 
Incoming and Outgoing Shipments in 2 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 2 STEPS Using Odoo 17Incoming and Outgoing Shipments in 2 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 2 STEPS Using Odoo 17
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
 
Essential Safety precautions during monsoon season
Essential Safety precautions during monsoon seasonEssential Safety precautions during monsoon season
Essential Safety precautions during monsoon season
 
size separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceuticssize separation d pharm 1st year pharmaceutics
size separation d pharm 1st year pharmaceutics
 
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdfDanh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
 
Morse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptxMorse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptx
 
Financial Accounting IFRS, 3rd Edition-dikompresi.pdf
Financial Accounting IFRS, 3rd Edition-dikompresi.pdfFinancial Accounting IFRS, 3rd Edition-dikompresi.pdf
Financial Accounting IFRS, 3rd Edition-dikompresi.pdf
 

Vedicmaths 09 12

  • 1.
  • 2.
  • 3.
  • 4.
  • 5. 1 What is Vedic Mathematics ? The “Vedic Mathematics” is called so because of its origin from Vedas. To be more specific it has originated from “Atharva Vedas” the fourth Veda. “Atharva Veda” deals with the branches like Engineering, Mathematics, Sculpture, Medicine and all other sciences with which we are today aware of. Vedic Mathematics was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). Accord- ing to his research all of mathematics is based on sixteen Sutras or word-formulae and thirteen sub-sutras. 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. Perhaps the most striking feature of the Vedic system is its coherence. Instead of a hotch-potch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one- line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying, it makes mathematics easy and enjoyable and encourages innovation. In the Vedic system ‘difficult’ problems or huge sums can often be solved imme- diately by the Vedic method. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern ‘sys- tem’. Vedic Mathematics manifests the coherent and unified structure of mathematics and the methods are complementary, direct and easy. The simplicity of Vedic Mathematics means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system. Pupils can invent their own methods, they are not limited to the one ‘correct’ method. This leads to more creative, interested and intel- ligent pupils. Interest in the Vedic system is growing in education where mathematics teachers are looking for something better and finding the Vedic system is the answer. Research is being carried out in many areas including the effects of learning Vedic Maths on chil- dren; developing new, powerful but easy applications of the Vedic Sutras in geometry, calculus, computing etc. But the real beauty and effectiveness of Vedic Mathematics cannot be fully appreci- ated without actually practising the system. One can then see that it is perhaps the most refined and efficient mathematical system possible.
  • 6. 2 1. By one more than the one before. 2. All from 9 and the last from 10. 3. Vertically and Cross-wise 4. Transpose and Apply 5. If the Samuccaya is the Same it is Zero 6. If One is in Ratio the Other is Zero 7. By Addition and by Subtraction 8. By the Completion or Non-Completion 9. Differential Calculus 10. By the Deficiency 11. Specific and General 12. The Remainders by the Last Digit 13. The Ultimate and Twice the Penultimate 14. By One Less than the One Before 15. The Product of the Sum 16. All the Multipliers The Sixteen Main Sutras
  • 7. 33 1. Proportionately 2. The Remainder Remains Constant 3. The First by the First and the Last by the Last 4. For 7 the Multiplicand is 143 5. By Osculation 6. Lessen by the Deficiency 7. Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency 8. Last Totalling 10 9. Only the Last Terms 10. The Sum of the Products 11. By Alternative Elimination and Retention 12. By Mere Observation 13. The Product of the Sum is the Sum of the Products The Thirteen Sub Sutras
  • 8. 44 CCCCC... OOOOOnneee nnuuummbbbbbbeeerr mmooorreee ttthhhhhhaaann 1111100000 aaanndddddd ooonneee lllllleeessssss ttthhhhhhaaann 1111100000 7 x 12 ========== 9 x 13 ========== 6 x 14 ========== 6 x 13 ========== 8 x 18 ========== 9 x 13 ========== 7 x 14 ========== 6 x 16 ========== Session I 1. Mutilpication Base 10 - Nikhilam
  • 9.
  • 10. Session I 1. Mutilpication Base 10 - Nikhilam BBB... BBBooottthhhhhh nnuuummbbbbbbeeerrsss lllllleeessssss ttthhhhhhaaann 1111100000 7 x 8 ========== 9 x 8 ========== 6 x 8 ========== 6 x 7 ========== 8 x 8 ========== 9 x 9 ========== 7 x 9 ========== 6 x 6 ==========
  • 11.
  • 12. 6 AAAA... BBBooottthhhhhh nnuuummbbbbbbeeerrsss mmooorreee ttthhhhhhaaann 11110000 12 x 13 ========== 14 x 12 ========== 12 x 11 ========== 16 x 13 ========== 17 x 14 ========== 16 x 15 ========== 12 x 18 ========== 14 x 16 ========== Session I 1. Mutilpication Base 10 - Nikhilam
  • 13.
  • 14. 77 Session II 1. Multiplication Base 100 - Nikhilam AAAA.... BBBooootttthhhhh nnnuuuummmbbbbbbeeeerrrssss mmmoooorrreeee tttthhhhhaaaannn 11110000000000 102 x 105 ========== 104 x 102 ========== 102 x 107 ========== 106 x 103 ========== 109 x 104 ========== 107 x 105 ========== 101 x 112 ========== 104 x 106 ==========
  • 15.
  • 16. 88 Session II 1. Multiplication Base 100 - Nikhilam BBB.. BBBootthhhhh nuumbbbbbeerrss llllleessss tthhhhhaan 11110000000 97 x 98 ========== 99 x 98 ========== 96 x 98 ========== 92 x 97 ========== 94 x 95 ========== 99 x 99 ========== 97 x 91 ========== 96 x 92 ==========
  • 17.
  • 18. 9 Session II 1. Multiplication Base 100 - Nikhilam CCCCC... OOOOOnneee nnuuummbbbbbbeeerr mmooorreee ttthhhhhhaaann 111110000000000 aaanndddddd ooonneee lllllleeessssss ttthhhhhhaaann 111110000000000 97 x 102 ========== 99 x 103 ========== 96 x 104 ========== 96 x 103 ========== 99 x 104 ========== 97 x 105 ========== 91 x 112 ========== 94 x 106 ==========
  • 19.
  • 20. 10 Session II 2. Multiplication Base 50 - Nikhilam 57 x 52 ========== 53 x 54 ========== 51 x 55 ========== 48 x 49 ========== 47 x 46 ==========
  • 21.
  • 22. 11 Session II 3. Multiplication Base 20 - Nikhilam 23 x 25 ========== 22 x 24 ========== 21 x 26 ========== 18 x 19 ========== 17 x 18 ==========
  • 23.
  • 24. 12 Session III 2. Addition - Dot Method 2 3 4 7 1 4 5 6 5 6 8 7 + 3 2 5 9 ========= 2 3 5 6 7 8 2 3 3 6 7 3 +1 5 3 7 ========= 4 5 7 8 1 3 5 6 5 8 8 9 + 3 3 2 1 ========= 5 8 9 6 5 9 7 8 1 4 5 6 + 8 7 8 2 ========= 5 7 2 1 8 9 2 6 1 3 5 5 + 3 2 4 7 ========= 1 2 3 5 4 5 6 8 2 8 9 6 + 2 5 7 5 ========= 9 8 6 5 1 5 9 3 5 6 2 8 + 4 2 9 8 ========= 2 6 5 7 6 4 7 8 6 5 8 2 + 7 6 5 2 ========= 5 6 2 8 1 2 5 4 5 8 9 5 + 1 5 8 9 =========
  • 25.
  • 26. 13 Session III 2. Addition - Dot Method 5 3 4 7 1 7 5 5 6 6 4 7 + 6 4 7 8 ========= 5 3 5 6 7 8 2 3 5 6 3 8 +6 5 3 7 ========= 5 8 8 9 1 3 5 6 6 8 3 9 + 3 3 2 1 ========= 4 8 9 6 5 7 7 8 3 8 5 6 + 8 3 8 2 ========= 1 7 2 1 3 2 2 6 1 3 3 5 + 3 2 4 4 ========= 4 2 3 5 3 3 6 8 2 8 3 6 + 2 5 7 1 ========= 3 8 6 5 1 7 9 3 5 6 6 8 + 4 2 9 5 ========= 3 6 5 7 6 3 7 8 6 5 2 2 + 7 6 5 1 ========= 3 6 2 8 1 2 5 4 3 8 3 5 + 4 5 3 4 =========
  • 27.
  • 28. 14 1 0 0 - 7 3 ======= 1 0 0 - 4 2 ======= 1 0 0 - 3 8 ======= 1 0 0 - 5 5 ======= 1 0 0 - 2 2 ======= 1 0 0 0 - 9 9 5 ======= 1 0 0 0 - 8 7 2 ======= 1 0 0 0 - 7 9 5 ======= 1 0 0 0 - 5 8 7 ======= 1 0 0 0 - 7 7 9 ======= 1 0 0 0 0 - 8 8 6 8 ======== 1 0 0 0 0 - 8 6 9 7 ======== Session IV 2. Subtraction – Compliment Method
  • 29.
  • 30. 15 1 0 0 0 0 - 7 5 8 9 ======== 1 0 0 0 0 - 9 8 9 7 ======== 1 0 0 0 0 - 8 8 9 7 ======== 1 2 4 - 1 7 ======= 1 4 5 - 6 9 ======= 1 3 2 - 6 6 ======= 1 4 6 - 6 9 ======= 1 2 8 - 4 6 ======= 2 6 4 - 3 9 ======= 1 2 7 - 5 9 ======= 2 9 7 - 6 9 ======= Session IV 2. Subtraction – Compliment Method
  • 31.
  • 32. 16 4 2 4 3 2 - 5 9 1 8 =========== 2 6 3 2 1 - 7 8 0 8 =========== 1 7 0 4 2 - 9 5 3 1 =========== 4 5 2 8 - 1 6 5 8 ========= 3 6 4 5 7 - 1 6 9 9 8 =========== 5 6 3 1 5 7 - 3 8 1 3 8 1 =========== 5 7 2 1 2 2 - 4 8 8 0 1 3 =========== 5 2 6 0 8 9 - 5 1 1 0 8 6 =========== 2 6 2 9 - 4 6 3 ======= 1 3 4 5 - 6 8 3 ======= 3 5 3 2 - 5 8 7 ======= Session IV 2. Subtraction – Compliment Method
  • 33.
  • 34. 17 Session V 1. Tables - 10x10 FFFiiinnggggggggggeeerr MMMeeettthhhhhhooodddddd
  • 35.
  • 36. 18 Session V 2. Tables - 20x20 MMMuuutttiiillllllppppppppppiiicccaaatttiiiooonn BBBaaassseee 11110000 - NNNiiikkkkkkhhhhhiiillllllaaamm
  • 37.
  • 38. 19 Session V 3. Tables - 20x10 MMMuuutttiiillllllppppppppppiiicccaaatttiiiooonn BBBaaassseee 1111100000 - NNNiiikkkkkkhhhhhhiiillllllaaamm BBBrreeeaaakkkkkkuuupppppppppppp MMMeeettthhhhhhooodddddd
  • 39.
  • 40. 20 Session VI Mutilpication 35 x 35 ===== 65 x 65 ===== 95 x 95 ===== 15 x 15 ===== 125 x 125 ===== 205 x 205 ===== 25 x 25 ===== 45 x 45 ===== 115 x 115 ===== 105 x 105 ===== AAAA.. NNNuumbbbbbeerss eendddddiiingggggggg wwiiittthhhhh 555 - EEEkkkkkaadddddhhhhhiiikkkkkeenaa PPPuurvveenaa
  • 41.
  • 42. 21 Session VI Mutilpication BBB.. LLLaaasssttt ddddddiiiggggggggggiiitttsss aaaddddddddddddiiinngggggggggg tttooo 11110000 aaannddddd oootthhhhhheeerr ddddddiiiggggggggggiiitttsss sssaaammeee - AAAAnntttaaayyyyyyyyyyooorr DDDaaassskkkkkkeeeppppppppppiii 32 x 38 ===== 63 x 67 ===== 94 x 96 ===== 115 x 115 ===== 121 x 129 ===== 21 x 29 ===== 56 x 54 ===== 73 x 77 ===== 91 x 99 ===== 108 x 102 =====
  • 43.
  • 44. 22 Session VI 1. Multiplication 35 x 99 ===== 65 x 99 ===== 95 x 99 ===== 115 x 999 ===== 125 x 999 ===== 022 x 999 ===== 0056 x 9999 ===== 0738 x 9999 ===== 0912 x 9999 ===== 0108 x 9999 ===== CCCC... MMMuuulllllltttiiipppppppppplllllliiicccaaatttiiiooonn bbbbbyyyyyyyyyy 9999,,,,,,99999999,,,,,,999999999999 - EEEkkkkkkaaannuuuyyyyyyyyyyeeennaaa PPPuuurrvvveeennaaa
  • 45.
  • 46. 23 Session VI 1. Multiplication 24 x 11 ======= 54 x 11 ======= 123 x 11 ======= 456 x 11 ===== 999 x 11 ===== 239 x 11 ======= 5876 x 11 ========= 12345 x 11 ========= 654878 x 11 ========= 589765 x 11 ========= DDD... MMMuuulllllltttiiipppppppppplllllliiicccaaatttiiiooonn bbbbbbyyyyyyyyyy 1111111111
  • 47.
  • 48. 24 Session VII 1. Multiplication – Urdhva Triyaghyam 32 x 13 ===== 23 x 43 ===== 55 x 63 ===== 74 x 67 ===== 45 x 96 ===== 34 x 56 ===== 67 x 89 ===== 18 x 59 ===== 54 x 75 ===== 17 x 29 ===== 25 x 18 ===== 31 x 42 =====
  • 49.
  • 50. 25 Session VII 1. Multiplication – Urdhva Triyaghyam 213 x 432 ===== 324 x 543 ===== 513 x 152 ===== 973 x 36 ===== 64 x 158 ===== 972 x 42 ===== 213 x 432 ===== 321 x 545 ===== 516 x 153 =====
  • 51.
  • 52. 26 2 1 x 2 9 ======= 8 6 x 1 4 ======= 5 6 7 x 1 1 ======= 1 4 5 x 1 1 ======= 7 8 7 x 9 9 9 9 ======= 3 2 4 x 1 8 0 ======= 1 2 3 x 4 5 6 ======= 7 8 6 x 1 2 8 ======= 7 8 x 9 9 9 ======= 9 5 x 9 5 ======= 1 2 8 x 1 2 2 ======= Session VII 2. Mixed Multiplication Practice
  • 53.
  • 54. 27 Session VII 2. Mixed Multiplication Practice 21 x 43 ===== 324 x 11 ===== 513 x 999 ===== 250 x 540 ===== 0973 x 9999 ===== 64 x 58 ===== 72 x 78 ===== 85 x 85 ===== 21 x 11 ===== 32 x 99 ===== 51 x 59 ===== 25 x 25 =====
  • 55.
  • 56. 28 24/9 = Q = R = 44/9 = Q = R = 62/9 = Q = R = 27/9 = Q = R = 83/9 = Q = R = 65/9 = Q = R = 9) 2 7 8 Q = R = 9) 3 3 9 Q = R = 9) 2 2 4 Q = R = 9) 4 5 6 Q = R = 9) 8 3 2 Q = R = 9) 4 5 6 Q = R = Session VIII 1. Division – By method of deviation
  • 57.
  • 58. 29 Session VIII 1. Division – By method of deviation 9) 1 8 5 6 2 Q = R = 9) 3 4 2 1 0 Q = R = 9) 8 7 6 5 2 Q = R = 9) 1 2 3 4 5 6 Q = R = 9) 8 7 8 2 8 4 Q = R = 9) 1 5 6 3 2 Q = R = 9) 4 5 6 7 Q = R = 9) 1 8 7 3 Q = R = 9) 2 5 6 9 Q = R =
  • 59.
  • 60. 30 Session VIII 2. Squares - Yavdunam Tavdunam 14 x 14 ===== 12 x 12 ===== 15 x 15 ===== 11 x 11 ===== 108 x 108 ===== 103 x 103 ===== 105 x 105 ===== 99 x 99 ===== 22 x 22 ===== 24 x 24 ===== 26 x 26 ===== 27 x 27 ===== 32 x 32 ===== 35 x 35 ===== 205 x 205 =====