Vedic Mathematics- 2x2 multiplication
- 1. Vedic Mathematics Cultural Computing Initiatives www.culturalcomputingindia.com
- 2. www.culturalcomputingindia.com 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)-1No. of digits in multiplier)-1 Each part is product or sum of product of digits in multiplicandEach part is product or sum of product of digits in multiplicand & multiplier.& multiplier. In the answer each part should contain only one digit. The extraIn the answer each part should contain only one digit. The extra digits are added to the immediate left.digits are added to the immediate left.
- 3. www.culturalcomputingindia.com Answer is divided into 3 partsAnswer 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 placeRP represents Units place MP represents Tens placeMP represents Tens place LP represents Hundreds placeLP 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
- 4. www.culturalcomputingindia.com 2 3 1 2 RP 6 RP =RP = X 3x2 =3x2 = 66
- 5. www.culturalcomputingindia.com 2 3 1 2 RPMP 7 MP :MP : X (3x1)(3x1) = 4+3=7= 4+3=7++(2x2)(2x2)
- 6. www.culturalcomputingindia.com 2 3 1 2 LP RPMP 2 2x12x1 X =2=2LP :LP :
- 7. www.culturalcomputingindia.com 2 3 1 2 LP RPMP 2 LP :LP : Ans:Ans: 276276 X 7 6 RP : 3x2=6RP : 3x2=6 MP :MP : (3x1)(3x1) = 4+3=7= 4+3=7++(2x2)(2x2) =2=22x12x1
- 8. www.culturalcomputingindia.com 3 2 4 1 21112 RP : 1x2=2RP : 1x2=2 MP : (3x1) + (4x2) =3+8=11MP : (3x1) + (4x2) =3+8=11 LP : (3x4)=12LP : (3x4)=12 Ans:Ans: 13121312 Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added toshould have only one digit so extra digit is carried & added to LPLP 1 X
- 9. www.culturalcomputingindia.com 4 3 3 5 152912 RP : 3x5= 1515 MP : (3x3) + (4x5) =9+20=29MP : (3x3) + (4x5) =9+20=29 LP : (3x4)=12LP : (3x4)=12 Ans:Ans: 15051505 Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added toshould have only one digit so extra digit is carried & added to LPLP 12 X
- 10. www.culturalcomputingindia.com 2 3 4 5 15228 RP : 3x5= 1515 MP : (2x5) + (3x4) =10+12=22MP : (2x5) + (3x4) =10+12=22 LP : (2x4)=8LP : (2x4)=8 Ans:Ans: 10351035 Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added toshould have only one digit so extra digit is carried & added to LPLP 12 X
- 11. www.culturalcomputingindia.com 3 4 4 4 162412 RP : 4x4= 1616 MP : (3x4) + (4x3) =12+12=24MP : (3x4) + (4x3) =12+12=24 LP : (3x4)=12LP : (3x4)=12 Ans:Ans: 14561456 Note:Note: RP & MPRP & MP should have only one digit so extra digit is carried & added toshould have only one digit so extra digit is carried & added to LPLP 12 X
- 12. www.culturalcomputingindia.com 2 372 RP : 1 x 3= 3 MP : (2x3)+(1x1) = 6 + 1= 7MP : (2x3)+(1x1) = 6 + 1= 7 LP : (2x1)=2LP : (2x1)=2 Ans:Ans: X 19 = 2 1 1 31 Convert Vinculum to Normal & 7 = 1 3 11 3333
- 13. www.culturalcomputingindia.com 4 12120 RP : 3 x 4= 12 MP : (4x4)+(3x5) =16+15=1MP : (4x4)+(3x5) =16+15=1 LP : (4x5)=20LP : (4x5)=20 Ans:Ans: 19981998 X 37 = 4 3 3 45 Convert Vinculum to Normal = 2002
- 14. www.culturalcomputingindia.com 4 2512 RP : 1 x 2= 2 MP : (4x2)+(1x3) = 8+3= 5MP : (4x2)+(1x3) = 8+3= 5 LP : (4x3)=12LP : (4x3)=12 Ans:Ans: 11481148 X 28 = 3 2 1 23 Convert Vinculum to Normal
- 15. www.culturalcomputingindia.com 5 42420 RP : 1 x 4= 4 MP : (5x4)+(1x4) = 20+4= 2 4MP : (5x4)+(1x4) = 20+4= 2 4 LP : (5x4)=20LP : (5x4)=20 Ans:Ans: 17641764 X 49 = 5 1 1 44 Convert Vinculum to Normal 36 = 4 4 -2 =1 8 4 4
- 16. www.culturalcomputingindia.com 4 62220 RP : 2 x 3= 6 MP : (4x3)+(2x5) = 12+10= 2 2MP : (4x3)+(2x5) = 12+10= 2 2 LP : (4x5)=20LP : (4x5)=20 Ans:Ans: 17861786 X 38 = 4 2 2 35 Convert Vinculum to Normal 47 = 5 3 -2 =1 8 2 6
- 17. www.culturalcomputingindia.com 5 8215 RP : 4 x 2= 8 MP : (5x2)+(4x3) = 10+12= 2MP : (5x2)+(4x3) = 10+12= 2 LP : (5x3)= 15LP : (5x3)= 15 Ans:Ans: 14721472 X 46 = 5 4 4 23 Convert Vinculum to Normal =1 5 2 8