1. ทำไมต้องเวทคณิต และ การยันความถูกต้อง

FAST VEDIC MATHEMATICS



(Vedic Sutras) 9.
1. 10.
2. 11.
3. 12.
4. 13.
5. 14.
6. 15.
7. 16.
8.

(Vedic Sub-sutras)

1. 9.
2. 10.
3. 11.
4. 12.
5. 13.
6. 14.
7. 15.
8. 16.



WHY
VEDIC MATHEMATICS

Kenneth Williams
Kenneth's Curriculum Vitae



1.
spreads diversity
5

1.
2.
3.
4.
5.

(Digit Separator Method)

3

1.

2.
Vinculum Method

3.

7

1.
2.
3.
4. 9,99,999,9999,
5.
6.

7.

7

1.

2.
3.
4.
5.
6.
7.

2.

Calculation from Left to Right



3 Tricks For Quick Multiplication | Mathematics | From
Shakuntala Devi Movie best Scene

18

99999 + 99999
99999
99 999

1

41320 + 54326
4 1 3 05
74398







764 1000
1000 -764
9 9 10 (990+10)
1000 -764 =
76 4

23 6



6745215 7
6 7 45 215
7

37 23

37
23

35
51

5 1 = 61
3 5 = 41

61 41 = 2501 2

2501 2 12 12 ( / )2 = 17 2 53 2

INDIAN MATHEMATICS AN INTRODUCTION

https://en.wikipedia.org/wiki/Ashok_Jhunjhunwala

5 1

3 5
15 2 52

51

35

15 2 28 5 2 ( 28

2 28 4 12 =48
17 2 12 53 2

469

4 6 92

1 6 8 8 8 1 = 219961

4 0 0 8
11

3. (Digit Separator

Method)

VS

1148 82 9 14 41 73 17
82 ) 9 4 1 3 7 12 39 65 1=r

82 1148
121

82
39 3
32 8

657
656

1=r

1393076260128394. 25

7238761 524
(Flag Division)

5 24 7 2 2 53 38 57 36 1

13814 225 r

12 45 45319824

6 93 91 6 9 3 8 1 2 0 4

7 3 2 .0 0 0

999978609 999999989

999978609 999999989 999978609 1256
999999989 0017

999978598 / 000235301
= 999978598 000235301

4.

0, 1, 2, 3, 4, 5
(Vinculum Method)

(Vinculum Number)

286798973

2867918973 3 132 12 1033

286798973

3 132 12 1033

?

5.
(Auxiliary Fraction)

Swami Bharati Krishna Tirtha
1/19

19) 1.000 (0.052631578947368421... 1 0.10 5126311151718914713168421...
19
95
50 110 90 160
38 95 76 152
120 150 140 80
114 133 133 76
60 170 70 40
57 152 57 38
30 180 130 20
19 171 114 19
110 90 160 1

6. (Cross Check)

Mahâsiddhânta)
(Aryabhata II 920 -1000 )

Aryabhata II

"
Aryabhata :476-c.550)

Mahâsiddhânta)
recreational

2

1. (Casting Out Nines)

2.
(Casting Out Elevens)

3758 9

417 3758
2+3 = 5
93 7 5 8 3 + 7 + 5 + 8 = 23
36

15

9

68
63

5=r

3758 9
3758 9 = 3758

9
3758 3 (1000) 7 (100) 5 (10) 8

99
3 (999 1) 7 (99 1) 5 (9 1) 8

9
3 (999) 3 7 (99) 7 5 (9) 5 8

99 9 9 9 99
3 7 5 8 23 25
9999 9
9

9 3 + 7 + 5 + 8 = 23 2+3 = 5

1,2,3,4,5,6,7,8,9 0 9
(

)

7816 + 6135 = 13951

7816 + 6135 = 13951

(7+8+1a+6) + (6+1+3+5) = (1+3+99+5+1)

22 + 15 = 19
2+2 + 1+5 = 1+9
4 + 6 = 10

10 = 10