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Vedic Maths: Multiplying numbers by 11-19 in less than five seconds.

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- 1. How to multiply numbers with 11-19 in less than 5 seconds? www.vedicmathsindia.org
- 2. Multiplying numbers with11
- 3. Lets take for example 32 x 11 Multiplying numbers with11
- 4. Lets take for example 32 x 11 Multiplying numbers with11 Step 1: Split 3 and 2 into left & right parts 3 2 3 __ 2
- 5. Lets take for example 32 x 11 Multiplying numbers with11 Step 1: Split 3 and 2 into left & right parts 3 2 3 5 2 Step 2: Simply Add 3 + 2 and place 5 in between
- 6. Lets take for example 32 x 11 Multiplying numbers with11 Step 1: Split 3 and 2 into left & right parts 3 2 3 5 2 Step 2: Simply Add 3 + 2 and place 5 in between Step 3: Our Final Answer 352 Try with other numbers now.
- 7. Now lets take for example 1234 x 11 Multiplying numbers with11
- 8. The method is called Adding to the Neighbor. In 1234, the neighbors of 2 are 1 & 3 and the neighbors of 3 are 2 & 4 respectively. Multiplying numbers with11
- 9. Step1: We put two strokes beside 1234 and place two zero’s Multiplying numbers with11 0 1 2 3 4 0
- 10. Step2: Now we start Adding to the Neighbor. First we Add 4 to 0. Multiplying numbers with11 0 1 2 3 4 0 Gives us:- 4 (4+0 =4)
- 11. Step3: Add 3 to 4 gives us 7. Multiplying numbers with11 0 1 2 3 4 0 Gives us:- 7 4 (4+0 =4) (3+4=7)
- 12. Step4: Add 2 to 3 gives us 5. Multiplying numbers with11 0 1 2 3 4 0 Gives us:- 5 7 4 (4+0 =4) (3+4=7) (2+3=5)
- 13. Step5: Add 1 to 2 gives us 3. Multiplying numbers with11 0 1 2 3 4 0 Gives us:- 3 5 7 4 (4+0 =4) (3+4=7) (2+3=5) (1+2=3)
- 14. Step6: Finally Add 0 to 1 gives us 1. Multiplying numbers with11 0 1 2 3 4 0 Gives us our Answer:- 1 3 5 7 4 (4+0 =4) (3+4=7) (2+3=5) (1+2=3) (0+1=1) Simple Isn't it? Now try 12345 x 11 on your own.
- 15. Now lets take for example 777 x 11 This sum will involve a carryover. Multiplying numbers with11
- 16. Step1: We put two strokes beside 777 and place two zero’s Multiplying numbers with11 0 7 7 7 0
- 17. Step2: Now we start Adding to the Neighbor. First we Add 7 to 0. Multiplying numbers with11 0 7 7 7 0 Gives us:- 7 (7+0=7)
- 18. Step3: Add 7 to 7 gives us 14. We write 4 and take 1 as carry to the next step. Multiplying numbers with11 Gives us:- 1 4 7 0 7 7 7 0 (7+0=7) (7+7= 1 4)
- 19. Step4: Add 7 to 7 gives us 14. We add 1 from carryover gives us 15.We write 5 and again take 1 as carryover to the next step. Multiplying numbers with11 Gives us:- 1 5 4 7 0 7 7 7 0 (7+0=7) (7+7= 1 4) (7+7=14+1= 1 5)
- 20. Step5: Finally we add 0 to 7 and then add 1 of the carry over to give us 8. Multiplying numbers with11 Gives us our final answer:- 8 5 4 7 0 7 7 7 0 (7+0=7) (7+7= 1 4) (7+7=14+1= 1 5) (0+7=7+1=8) Simple Isn't it? Now try any number multiplied with 11.
- 21. Multiplying numbers with 12
- 22. Now lets take for example 1234 x 12 Multiplying numbers with12
- 23. The method is called Doubling and then Adding to the Neighbor We note that we double since the number 12 has a 2. Had the multiplier been 13 we would have tripled and then added to the neighbor. Multiplying numbers with12
- 24. Step1: We put two strokes beside 1234 and place two zero’s as before. Multiplying numbers with12 0 1 2 3 4 0
- 25. Step2: Now we start Doubling and Adding to the Neighbor. First we double 4, gives us 8.We then add 8 to zero. Multiplying numbers with12 0 1 2 3 4 0 Gives us:- 8 (4x2=8+0 = 8)
- 26. Step3: We now double 3 to get 6. Add the neighbor 4 to get 10. We write 0 and carry 1. Multiplying numbers with12 0 1 2 3 4 0 Gives us:- 1 0 8 (3x2 =6+4= 1 0) (4x2=8+0 = 8)
- 27. Step4: We now double 2 to get 4.Add 1 of carry gives us 5. Add neighbor 3 gives us 8. Multiplying numbers with12 0 1 2 3 4 0 (3x2 =6+4= 1 0) (4x2=8+0 = 8) (2x2 =4+1=5+3=8) Gives us:- 8 0 8
- 28. Step5: Double 1 to get 2. Add neighbor 2, gives 4. Multiplying numbers with12 0 1 2 3 4 0 (3x2 =6+4= 1 0) (4x2=8+0 = 8) (2x2 =4+1=5+3=8) (1x2 =2+2=4) Gives us:- 4 8 0 8
- 29. Step6: Finally Double 0 to gives us 0. Add neighbor 1 , gives us 1. Multiplying numbers with12 0 1 2 3 4 0 Gives us our Final Answer:- 14808 Simple Isn't it? Now try 12345 x 12 on your own. (3x2 =6+4= 1 0) (4x2=8+0 = 8) (2x2 =4+1=5+3=8) (1x2 =2+2=4) (0x2 =0+1=1)
- 30. Thumb rule for 13-19 <ul><li>For 13 its three times add to the neighbor </li></ul><ul><li>For 14 its 4 times add to the neighbor </li></ul><ul><li>For 15 its 5 times add to the neighbor and so on. </li></ul><ul><li>For 18, its 8 times add to the neighbor </li></ul><ul><li>And finally for 19 its 9 times add to the neighbor. </li></ul>Amazing Rules Isn't it? Try some sums now.
- 31. Sums <ul><li>45239 x 11 </li></ul><ul><li>6532 x 12 </li></ul><ul><li>156 x 13 </li></ul><ul><li>67087 x 12 </li></ul><ul><li>3568 x 14 </li></ul><ul><li>60567 x 17 </li></ul><ul><li>89341 x 19 </li></ul><ul><li>23412 x 15 </li></ul><ul><li>467692 x 18 </li></ul><ul><li>45213 x 13 </li></ul>
- 32. Answers <ul><li>497 629 </li></ul><ul><li>78 384 </li></ul><ul><li>2 028 </li></ul><ul><li>805 044 </li></ul><ul><li>49 952 </li></ul><ul><li>1 029 639 </li></ul><ul><li>1 697 479 </li></ul><ul><li>351 180 </li></ul><ul><li>8 418 456 </li></ul><ul><li>587 769 </li></ul>

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man this is my holiday home work from now..

i will submit it to my maths teacher now..thanx alot

i'm saurabh thanx again...u dont know hw much happy i'm .