Vedic Mathematics- 3x3 multiplication

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

Transcript of Vedic Mathematics- 3x3 multiplication

Page 1: Vedic Mathematics- 3x3 multiplication

3 by 3 Multiplication3 by 3 Multiplication

Vedic MathematicsCultural Computing Initiatives

www.culturalcomputingindia.com

www.culturalcomputingindia.com

Page 2: Vedic Mathematics- 3x3 multiplication

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3 x 3 Multiplication:3 x 3 Multiplication:Answer is divided into 5 parts Answer is divided into 5 parts (3+3)-1=5 (3+3)-1=5

The pattern for each part is given below :The pattern for each part is given below :

Each dot (Each dot () represent single digit in the number & line jointly ) represent single digit in the number & line jointly represents the no’s to be multiplicationrepresents the no’s to be multiplication

Page 3: Vedic Mathematics- 3x3 multiplication

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(1x2)

2

Page 4: Vedic Mathematics- 3x3 multiplication

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(0x2)

3+ (1x3)

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(2x2)

5+ (0x3) + (1x1)

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(2x3)

6+ (0x1)

Page 7: Vedic Mathematics- 3x3 multiplication

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(1x2)

2

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Find 201 x 132 Find 201 x 132

2 0 1x

1 3 2(2x1)(3x1)+(2x0)(2x2)+(1x1)+(3x0)(1x0)(1x2)

2 6 5 3 2Ans: 26532

+(2x3)

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Find 211 x 323 Find 211 x 323

2 1 1x 3 2 3

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

6 7 5 3

Ans: 68153

111

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Find 321 x 215 Find 321 x 215

3 2 1x 2 1 5

(5x1)(5x2)+(1x1)(2x1)+(2x1)+(3x5)(2x2)+(3x1)(3x2)

6 7 11 5

Ans: 69015

1911

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Find 412 x 335 Find 412 x 335

4 1 2x 3 3 5

(5x2)(5x1)+(3x2)(3x2)+(3x1)+(4x5)(4x3)+(3x1)(4x3)

12 15 11 10

Ans: 138020

2912 11

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Find 534 x 432 Find 534 x 432

5 3 4x 4 3 2

(4x2)(3x2)+(4x3)(5x2)+(3x3)+(4x4)(5x3)+(3x4)(5x4)

20 27 18 8

Ans: 230688

35132

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Find 555 x 444 Find 555 x 444

5 5 5x 4 4 4

(5x4)(5x4)+(5x4)(5x4)+(5x4)+(5x4)(5x4)+(5x4)(5x4)

20 40 40 20

Ans: 246420

60464 2

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Find 209 x 132 Find 209 x 132

2 1 1x 1 3 2

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

2 7 1 2

Ans:

6

209= 211

Convert Vinculum to Normal

27612

75 882

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Find 207 x 316 Find 207 x 316

2 1 3x 3 2 4

(3x4)(1x4)+(3x2)(2x4)+(1x2)+(3x3)(2x2)+(1x3)(2x3)

6 7 1 0 1

Ans: 65412

207= 213

Convert Vinculum to Normal

1 5-1 -1 1

& 316=324

6 6 6 12

2

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Find 357 x 274 Find 357 x 274

4 4 3x 3 3 4

(3x4)(4x4)+(3x3)(4x4)+(4x3)+(3x3)(4x3)+(4x3)(4x3)

12 2 4 7 1 2

Ans: 97818

357= 443

Convert Vinculum to Normal

1 91 -1-2

103982

& 274= 334

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Find 466 x 355 Find 466 x 355

5 3 4x 4 4 5(4x5)(4x4)+(3x5)(5x5)+(3x4)+(4x4)(5x4)+(3x4)(5x4)

2 0 3 2 2 9

Ans: 165430

466= 534

Convert Vinculum to Normal

2 02-2

174630

3 13-3

& 355=4 45

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Find 378 x 469 Find 378 x 469

4 2 2x 5 3 1(4x5)(4x4)+(3x5)(5x5)+(3x4)+(4x4)(5x4)+(3x4)(5x4)

2 0 3 2 2 9

Ans: 165430

378 = 422

Convert Vinculum to Normal

2 02-2

174630

3 13-3

& 469= 531