vedic mathematics- 4x3 multiplication

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4 by 3 Multiplication Vedic Mathematics Cultural Computing Initiatives www.culturalcomputingin dia.com www.culturalcomputingindia.co m

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4 by 3 Multiplication

Vedic MathematicsCultural Computing Initiatives

www.culturalcomputingindia.com

www.culturalcomputingindia.com

www.culturalcomputingindia.com

4 x 3 Multiplication:4 x 3 Multiplication:

Answer is divided into 7 parts (4+3)-1=6

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 2013 x 101

2 0 1 3

11 0

x

(3x1)

3

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Find 2013 x 101

2 0 1 3

11 0

x

(1x1)

4+(0x3)

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Find 2013 x 101

2 0 1 3

11 0

x

(0x1)

3+(1x3)+(1x0)

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Find 2013 x 101

2 0 1 3

1 0 1

x

(2x1)

3

+(0x0)+(1x1)

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Find 2013 x 101

2 0 1 3

1 0 1

x

(2x0)

0+(0x1)

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Find 2013 x 101

2 0 1 3

1 0 1

x

(2x1)

2

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Find 2013 x 101

2 0 1 3

11 0

x

(3x1)(1x1)+(0x3) (0x1)+(1x3)+(0x1) (2x1)+(1x1)+(0x0) (2x3)+(0x1) (2x1)

313362

Ans: 263313

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Find 3123 x 213

3 1 2 3

32 1x

(3x3)(2x3)+(3x1) (1x3)+(2x1)+(3x2) (3x3)+(1x1)+(2x2) (3x1)+(1x2) (3x2)

99111456

Ans: 665199

1 1

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Find 3241 x 232

3 2 4 1

22 3x

(1x2)(4x2)+(1x3) (2x2)+(4x3)+(1x2) (3x2)+(2x3)+(4x2) (3x3)+(2x2) (3x2)

2111820136

Ans: 751912

2 1 11

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Find 4253 x 335

4 2 5 3

53 3x

(3x5)(5x5)+(3x3) (2x5)+(5x3)+(3x3) (4x5)+(2x3)+(5x3) (4x3)+(2x3) (4x3)

153434411812

Ans: 1424755

4 3 31 1

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Find 1991 x 108

2 0 1 121 1x

(1x2)(1x2)+(1x1) (0x2)+(1x1)+(1x1) (2x2)+(0x1)+(1x1) (2x1)+(0x1) (2x1)

230522

Ans:215028

1991=2 01 1 &

Convert Vinculum to Normal

108= 1 1 2

2 2 5 0 3 2

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Find 2771 x 2425

3 2 3 12 54 3x

(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 43 44 3x

(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 51 24 3x

(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 3 243 124x

(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