The document describes the Vedic method for multiplying multi-digit numbers using a technique called "Vedic Mathematics". It breaks down multiplication into place-value groups and uses dots and lines to represent the digits being multiplied. It then provides examples of multiplying several pairs of numbers step-by-step using this method. The numbers are converted back to normal format after each calculation.

1. Vedic Mathematics
Cultural Computing Initiatives
4 by 4 Multiplication
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4 x 4 Multiplication:4 x 4 Multiplication:
 Answer is divided into 7 parts (4+4 )-1=7
 The pattern for each part is given below :
 Each dot (•) represent single digit in the number & line jointly
represents the no’s to be multiplication
• • • •
• • • •• • • •
• • • •
• • • •
• • • •
• • • •
• • • •
• • • •• • • •• • • •
• • • •• • • •• • • •

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x1)
2

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(1x1)
7
+(2x3)

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(0x1)
3
+(1x3) +(2x0)

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x1)
4
+(0x3) +(1x0) +(2x1)

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x3)
7
+(0x0) +(1x1)

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x0)
0
+(0x1)

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x1)
2

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Find 2012 x 1031
2 0 1 2
1 10 3
x
(2x1)(1x1)+(2x3)(0x1)+(1x3)+(2x0)(2x1)+(0x3)+(1x0)+(2x1)(2x3)+(0x0)+(1x1)(2x0)+(0x1)(2x1)
2734702
Ans: 2074372

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Find 3123 x 1023
3 1 2 3
1 30 2
x
(3x3)(2x3)+(2x3)(1x3)+(2x2)+(3x0)(3x3)+(1x2)+(2x 0)+(3x1)(3x2)+(1x0)+(2x1)(3x0)+(1x1)(3x1)
912714813
Ans: 3194829
1 1

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Find 3241 x 2132
3 2 4 1
2 21 3
x
(1x2)(4x2)+(1x3)(2x2)+(4x3)+(1x1)(3x2)+(2x3)+(4x1)+(1x2)(3x3)+(2x1)+(4x2)(3x1)+(2x2)(3x2)
21117181976
Ans: 6909812
1 11+1 1

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Find 4253 x 3125
4 2 5 3
3 51 2
x
(3x5)(5x5)+(3x2)(2x5)+(5x2)+(3x1)(4x5)+(2x2)+(5x1)+(3x3)(4x2)+(2x1)+(5x3)(4x1)+(2x3)(4x3)
15312338251012
Ans: 13290625
3+1 31 2 2 1

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Find 1992 x 1007
2 0 1 2
1 30 1
x
(2x3)(1x3)+(2x1)(0x3)+(1x1)+(2x0)(2x3)+(0x1)+(1x0)+(2x1)(2x1)+(0x0)+(1x1)(2x0)+(0x1)(2x1)
6514102
Ans:
1992=2 01 2 &
 Convert Vinculum to Normal
1007=1 0 13
2 0 1 4 1 5 6
2 0 0 5 9 4 4

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Find 2771 x 2425
3 2 3 1
2 54 3
x
(1x5)(3x5)+(1x3)(2x5)+(3x3)+(1x4
)
(3x5)+(2x3)+(3x4)+(1x2)(3x3)+(2x4)+(3x2)(3x4)+(2x2)(3x2)
51853 1586
Ans: 6719675
-3 1
2771=3 2 3 1 & 2425=2 4 3 5
= 6 8 8 1 6 8 5
 Convert Vinculum to Normal

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Find 826 x 2626
1 2 3 4
3 44 3
x
(4x4)(3x4)+(4x3)(2x4)+(3x3)+(4x4
)
(1x4)+(2x3)+(3x4)+(4x3)(1x3)+(2x4)+(3x3
)
(1x4)+(2x3)(1x3)
162 43 33 42 01 03
Ans: 2169076
-3 -2
826=1 2 3 4 & 2626 = 3 4 3 4
= 2 2 3 1 1 3 6
 Convert Vinculum to Normal
132-1

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Find 1655 x 1432
2 3 4 5
1 24 3
x
(5x2)(4x2)+(5x3)(3x2)+(4x3)+(5x4
)
(2x2)+(3x3)+(4x4)+(5x1)(2x3)+(3x4)+(4x1)(2x4)+(3x1)(2x1)
1 02 33 82 61 052
Ans: 2369960
1655= 2 3 4 5 & 1432
= 2 4 3 0 0 4 0
 Convert Vinculum to Normal
-2 -1-3-2-1

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Find 3662 x 3379
4 3 24
3 124
x
(2x1)(4x1)+(2x2)(3x1)+(4x2)+(2x4
)
(4x1)+(3x2)+(4x4)+(2x3)(4x2)+(3x4)+(4x3)(4x4)+(3x3)(4x3)
201 983 271 2
Ans: 12373898
3662 = 4 3 4 2 & 3379 = 3 4 2 1
= 1 2 4 2 7 9 0 2
 Convert Vinculum to Normal
1-3