vedic mathematics- 2x2 multiplication

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Page 1: Vedic Mathematics- 2x2 multiplication

Vedic MathematicsCultural Computing Initiatives

www.culturalcomputingindia.com

Page 2: Vedic Mathematics- 2x2 multiplication

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The answer is divided into partsThe answer is divided into parts

Number of parts in the answer=Number of parts in the answer=(No. of digits in multiplicand (No. of digits in multiplicand + No. of digits in multiplier)-1+ No. of digits in multiplier)-1

Each part is product or sum of product of digits in Each part is product or sum of product of digits in multiplicand & multiplier.multiplicand & multiplier.

In the answer each part should contain only one digit. The In the answer each part should contain only one digit. The extra digits are added to the immediate left.extra digits are added to the immediate left.

Page 3: Vedic Mathematics- 2x2 multiplication

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Answer is divided into 3 parts Answer is divided into 3 parts (2+2)-1=3 (2+2)-1=3

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

RPRPLPLP MPMP

RP represents Units place RP represents Units place MP represents Tens placeMP represents Tens placeLP represents Hundreds place LP represents Hundreds place

Here,Here,

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 4: Vedic Mathematics- 2x2 multiplication

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2 31 2

RP

6

RP =RP =X

3x2 =3x2 =66

Page 5: Vedic Mathematics- 2x2 multiplication

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2 31 2

RPMP

7

MP :MP :

X

(3x1(3x1))

= 4+3=7= 4+3=7++ (2x2) (2x2)

Page 6: Vedic Mathematics- 2x2 multiplication

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2 31 2

LP RPMP

22x12x1

X=2=2 LP : LP :

Page 7: Vedic Mathematics- 2x2 multiplication

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2 31 2

LP RPMP

2LP :LP :

Ans: Ans: 276 276

X

7 6

RP : 3x2=6 RP : 3x2=6

MP :MP : (3x1)(3x1) = 4+3=7= 4+3=7++ (2x2) (2x2)

=2 =2 2x12x1

Page 8: Vedic Mathematics- 2x2 multiplication

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3 2

4 121112

RP : 1x2=2 RP : 1x2=2

MP : (3x1) + (4x2) =3+8=11 MP : (3x1) + (4x2) =3+8=11

LP : (3x4)=12 LP : (3x4)=12

Ans: Ans: 1312 1312

Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added to should have only one digit so extra digit is carried & added to LPLP

1

X

Page 9: Vedic Mathematics- 2x2 multiplication

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4 3

3 5152912

RP : 3x5=15 15

MP : (3x3) + (4x5) =9+20=29MP : (3x3) + (4x5) =9+20=29

LP : (3x4)=12 LP : (3x4)=12

Ans: Ans: 1505 1505

Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added to should have only one digit so extra digit is carried & added to LPLP

12

X

Page 10: Vedic Mathematics- 2x2 multiplication

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2 3

4 515228

RP : 3x5=15 15

MP : (2x5) + (3x4) =10+12=22MP : (2x5) + (3x4) =10+12=22

LP : (2x4)=8 LP : (2x4)=8

Ans: Ans: 1035 1035

Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added to should have only one digit so extra digit is carried & added to LPLP

12

X

Page 11: Vedic Mathematics- 2x2 multiplication

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3 4

4 4162412

RP : 4x4=16 16

MP : (3x4) + (4x3) =12+12=24MP : (3x4) + (4x3) =12+12=24

LP : (3x4)=12 LP : (3x4)=12

Ans: Ans: 1456 1456

Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added to should have only one digit so extra digit is carried & added to LPLP

12

X

Page 12: Vedic Mathematics- 2x2 multiplication

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2

372

RP : 1 x 3= 3

MP : (2x3)+(1x1) = 6 + 1= 7 MP : (2x3)+(1x1) = 6 + 1= 7

LP : (2x1)=2 LP : (2x1)=2

Ans:Ans:

X

19 = 2 1

131

Convert Vinculum to Normal

& 7 = 1 3

11 3333

Page 13: Vedic Mathematics- 2x2 multiplication

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4

12120

RP : 3 x 4= 12

MP : (4x4)+(3x5) =16+15=1MP : (4x4)+(3x5) =16+15=1

LP : (4x5)=20 LP : (4x5)=20

Ans: Ans: 1998 1998

X

37 = 4 3

345

Convert Vinculum to Normal= 2002

Page 14: Vedic Mathematics- 2x2 multiplication

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4

2512

RP : 1 x 2= 2

MP : (4x2)+(1x3) = 8+3= 5 MP : (4x2)+(1x3) = 8+3= 5

LP : (4x3)=12 LP : (4x3)=12

Ans: Ans: 1148 1148

X

28 = 3 2

123

Convert Vinculum to Normal

Page 15: Vedic Mathematics- 2x2 multiplication

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5

42420

RP : 1 x 4= 4

MP : (5x4)+(1x4) = 20+4= 2 4 MP : (5x4)+(1x4) = 20+4= 2 4

LP : (5x4)=20 LP : (5x4)=20

Ans: Ans: 1764 1764

X

49 = 5 1

144

Convert Vinculum to Normal

36 = 4 4

-2

=1 8 4 4

Page 16: Vedic Mathematics- 2x2 multiplication

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4

62220

RP : 2 x 3= 6

MP : (4x3)+(2x5) = 12+10= 2 2 MP : (4x3)+(2x5) = 12+10= 2 2

LP : (4x5)=20 LP : (4x5)=20

Ans: Ans: 1786 1786

X

38 = 4 2

235

Convert Vinculum to Normal

47 = 5 3

-2

=1 8 2 6

Page 17: Vedic Mathematics- 2x2 multiplication

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5

8215

RP : 4 x 2= 8

MP : (5x2)+(4x3) = 10+12= 2 MP : (5x2)+(4x3) = 10+12= 2

LP : (5x3)= 15 LP : (5x3)= 15

Ans: Ans: 1472 1472

X

46 = 5 4

423

Convert Vinculum to Normal

=1 5 2 8