Vedic Maths Multiplying Numbers by 1119 in Less Than Five Seconds 7972

8/4/2019 Vedic Maths Multiplying Numbers by 1119 in Less Than Five Seconds 7972

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www.vedicmathsindia.org

How to multiply

numbers with 11-19in less than 5 seconds?



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Multiplying numbers with11


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www.vedicmathsindia.orgLets take for example 32 x 11


Step 1: Split 3 and 2 into left & right parts

3 2

3 __ 2


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3 2

3 5 2

Step 2: Simply Add 3 + 2 and place 5 in between


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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.


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Now lets take for example 1234 x 11



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The method is called Adding to the Neighbor.

In 1234, the neighbors of 2 are 1 & 3 and theneighbors of 3 are 2 & 4 respectively.



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Step1: We put two strokes beside 1234 and place twozeros


0 1 2 3 4 0


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Step2: Now we start Adding to the Neighbor. First we Add4 to 0.


0 1 2 3 4 0

Gives us:- 4

(4+0 =4)


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Step3: Add 3 to 4 gives us 7.


0 1 2 3 4 0

Gives us:- 7 4

(4+0 =4)

(3+4=7)


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0 1 2 3 4 0

Gives us:- 5 7 4

(4+0 =4)

(3+4=7)

(2+3=5)


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0 1 2 3 4 0

Gives us:- 3 5 7 4

(4+0 =4)

(3+4=7)

(2+3=5)(1+2=3)


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Step6: Finally Add 0 to 1 gives us 1.


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.


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This sum will involve a carryover.



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Step1: We put two strokes beside 777 and place twozeros


0 7 7 7 0


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Step2: Now we start Adding to the Neighbor. First we Add7 to 0.


0 7 7 7 0

Gives us:- 7

(7+0=7)


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Step3: Add 7 to 7 gives us 14. We write 4 and take 1 ascarry to the next step.


Gives us:- 1 4 7

0 7 7 7 0 (7+0=7)(7+7=14)


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Step4: Add 7 to 7 gives us 14. We add 1 from carryovergives us 15.We write 5 and again take 1 as carryover to the

next step.


Gives us:- 1 5 4 7

0 7 7 7 0 (7+0=7)(7+7=14)

(7+7=14+1=15)


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Step5: Finally we add 0 to 7 and then add 1 of the carryover to give us 8.


Gives us our final answer:- 8 5 4 7

0 7 7 7 0 (7+0=7)(7+7=14)

(7+7=14+1=15)(0+7=7+1=8)

Simple Isn't it? Now try any number multiplied with 11.


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Multiplying numbers with 12


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www.vedicmathsindia.orgThe method is called

Doubling and thenAdding to the Neighbor

We note that we double since the number 12 has a2. Had the multiplier been 13 we would have

tripled and then added to the neighbor.



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Step1: We put two strokes beside 1234 and place twozeros as before.


0 1 2 3 4 0


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Step2: Now we start Doubling and Adding to the Neighbor. First wedouble 4, gives us 8.We then add 8 to zero.


0 1 2 3 4 0

Gives us:- 8

(4x2=8+0 = 8)


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Step3: We now double 3 to get 6. Add the neighbor 4 toget 10. We write 0 and carry 1.


0 1 2 3 4 0

Gives us:- 1 0 8

(3x2 =6+4=10)

(4x2=8+0 = 8)


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Step4: We now double 2 to get 4.Add 1 of carry gives us 5.Add neighbor 3 gives us 8.


0 1 2 3 4 0(3x2 =6+4=10)

(4x2=8+0 = 8)

(2x2 =4+1=5+3=8)

Gives us:- 8 0 8


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Step5: Double 1 to get 2. Add neighbor 2, gives 4.


0 1 2 3 4 0(3x2 =6+4=10)

(4x2=8+0 = 8)

(2x2 =4+1=5+3=8)

(1x2 =2+2=4)

Gives us:- 4 8 0 8


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Step6: Finally Double 0 to gives us 0. Add neighbor 1 ,gives us 1.


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=10)

(4x2=8+0 = 8)

(2x2 =4+1=5+3=8)

(1x2 =2+2=4)(0x2 =0+1=1)


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Thumb rule for 13-19 For 13 its three times add to the neighbor

For 14 its 4 times add to the neighbor

For 15 its 5 times add to the neighbor and soon.

For 18, its 8 times add to the neighbor

And finally for 19 its 9 times add to theneighbor.

Amazing Rules Isn't it?

Try some sums now.


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Sums

45239 x 11

6532 x 12

156 x 13

67087 x 12

3568 x 14

60567 x 17

89341 x 19

23412 x 15

467692 x 18

45213 x 13


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Answers

497 629

78 384

2 028

805 044

49 952

1 029 639

1 697 479

351 180

8 418 456

587 769

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Vedic Maths Multiplying Numbers by 1119 in Less Than Five Seconds 7972