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1. 3 by 3 Multiplication3 by 3 Multiplication
Vedic Mathematics
Cultural Computing Initiatives
www.culturalcomputingindia.com
www.culturalcomputingindia.com

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3 x 3 Multiplication:3 x 3 Multiplication:
Answer is divided into 5 partsAnswer 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
• • •
• • •
• • •
• • • • • • • • •
• • • • • •

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(1x2)
2

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(0x2)
3
+ (1x3)

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(2x2)
5
+ (0x3) + (1x1)

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(2x3)
6
+ (0x1)

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(1x2)
2

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Find 201 x 132Find 201 x 132
2 0 1
x
1 3 2
(2x1)(3x1)+(2x0)(2x2)+(1x1)+(3x0)(1x0)(1x2)
2 6 5 3 2
Ans: 26532
+(2x3)

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Find 211 x 323Find 211 x 323
2 1 1
x
3 2 3
(3x1)(3x1)+(2x1)(3x1)+(2x1)+(3x2)(1x3)+(2x2)(3x2)
6 7 5 3
Ans: 68153
11
1

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Find 321 x 215Find 321 x 215
3 2 1
x
2 1 5
(5x1)(5x2)+(1x1)(2x1)+(2x1)+(3x5)(2x2)+(3x1)(3x2)
6 7 11 5
Ans: 69015
19
11

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Find 412 x 335Find 412 x 335
4 1 2
x
3 3 5
(5x2)(5x1)+(3x2)(3x2)+(3x1)+(4x5)(4x3)+(3x1)(4x3)
12 15 11 10
Ans: 138020
29
12 11

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Find 534 x 432Find 534 x 432
5 3 4
x
4 3 2
(4x2)(3x2)+(4x3)(5x2)+(3x3)+(4x4)(5x3)+(3x4)(5x4)
20 27 18 8
Ans: 230688
35
132

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Find 555 x 444Find 555 x 444
5 5 5
x
4 4 4
(5x4)(5x4)+(5x4)(5x4)+(5x4)+(5x4)(5x4)+(5x4)(5x4)
20 40 40 20
Ans: 246420
60
464 2

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Find 209 x 132Find 209 x 132
2 1 1
x
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 316Find 207 x 316
2 1 3
x
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 1 2
2

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Find 357 x 274Find 357 x 274
4 4 3
x
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 9
1 -1-2
103982
& 274= 334

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Find 466 x 355Find 466 x 355
5 3 4
x
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 0
2-2
174630
3 1
3-3
& 355=4 45

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Find 378 x 469Find 378 x 469
4 2 2
x
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 0
2-2
174630
3 1
3-3
& 469= 531