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By Rohit Keserwani

Vedic Mathematics ch 1 & 2

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8/7/2019 Vedic Mathematics ch 1 & 2

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By Rohit Keserwani

8/7/2019 Vedic Mathematics ch 1 & 2

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If  I ask you what is the square of  100, youll immediately say 10000 without thinking. But if you are asked thesquare of  101 or 102, you will probably struggle.

If you want to know a f un and easy way of doing this,(that too mentally and very f ast), ref er to the nextslide. For those who can do it may also help themselves

 with the concept if  they wish so.

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 W ithout wasting time, let us come to the topic.

This is a very simple method.

Following are the steps involved. ( W e are calculating the square of  101)

1. Identify the base (This is the round f igure nearest to the number in

question. In our case, the base is 100 ).

2. Calculate the excess over the base (simply put, subtract the base f rom thenumber in question) So the excess comes out to be 1(=101-100).

3. Now we have three values in consideration, the number (101), the base (100)and the excess(1) .Now we need to write the answer somewhere. W e will use

the upper right hand cornerf or writing the answers. The answer will havetwo portions (right and lef t) which together combine to give us the complete

answer. To separate both the portions, we put a backslash betweenthem.

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4.  At the right side of the backslash we write the square of the excess

5.  At the lef t side of the backslash, we write the number(101) plusexcess(1) => (101+1) which is equal to 102

 W hat we get now is our answer. 10201. Simple isnt it?

 You can try it f or 102,103 and till 109. For f igures otherthan that, I will put another chapter presentation.

102 01

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 W hat we have done till now is just a small display of thepower of vedic mathematics.

This chapter will f urther elaborate the same concept.

 A f ter reading this chapter, you should be able to

y Square numbers near to any base (e.g. 10, 100, 1000 andso on)

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This time we take 108 as the number in question

Number 108

Base 100Excess 8

Solution:Number plus excess(108+8) = 116

Square of excess(82) = 64

So you get your answer, i.e. 11664

/ 64116

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This time we take 1008 as the number in question

Number 1008

Base 1000Excess 8

Solution:

Number plus excess(1008+8) = 1016

Square of excess(82) = 64

Did you notice that as soon as the no. of zeros increase in thebase value, the no. of digits at the right side also increase?

So you get your answer, i.e. 1016064.

/ 0641016

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This time we take 10018 as the number in question

Number 10018Base 10000

Excess 1 8

Solution:Number plus excess(10018+18) = 10036

Square of 

excess(182

) = 0324Did you notice that this time the no. of digits at the right sidehas gone up to 4? This has happened due to choosing ahigher base (which contains f our zeros).

So you get your answer, i.e. 100360324

/ 032410036

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How about a f ew exercises?y Find the squares of  the f ollowing-

1. 1062. 109

3. 10054. 100095. 10000036. 100077. 10028. 10025Bef ore going any f urther I strongly recommend you to

solve the questions given above (the guide to them isprovided in this presentation), so that you can graspthe f urther concept in a better way.

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This time we take 106 as the number in question

Number 106Base 100

Excess 6

Solution:Number plus excess(106+6) = 112

Square of 

excess(62

) = 36Did you notice that this time the no. of digits at the right sideis 2? This has happened because the base is 100 (whichcontains two zeros).

So you get your answer, i.e. 11236

/ 36112

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This time we take 109 as the number in question

Number 109Base 100

Excess 9

Solution:Number plus excess(109+9) = 118

Square of 

excess(92

) = 81Did you notice that this time the no. of digits at the right sideis 2? This has happened because the base is 100 (whichcontains two zeros).

So you get your answer, i.e. 11881

/ 81118

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This time we take 1005 as the number in question

Number 1005Base 1000

Excess 5

Solution:Number plus excess(1005+5) = 1010

Square of 

excess(52

) = 25Did you notice that this time the no. of digits at the right sideis 3? This has happened because the base is 1000 (whichcontains three zeros).

So you get your answer, i.e. 1010025

/ 0251010

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This time we take 10009 as the number in question

Number 10009Base 10000

Excess 9

Solution:Number plus excess(10009+9) = 10018

Square of 

excess(92

) = 81Did you notice that this time the no. of digits at the right sideis 4? This has happened because the base is 10000 (whichcontains f our zeros).

So you get your answer, i.e. 100180081

/ 008110018

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This time we take 1000003 as the number in question

Number 1000003Base 1000000

Excess 3

Solution:Number plus excess(1000003+3) = 1000006

Square of 

excess(32

) = 9Did you notice that this time the no. of digits at the right sideis 6? This has happened because the base is 1000000(which contains six zeros).

So you get your answer, i.e. 1000006000009

/ 0000091000006

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This time we take 10007 as the number in question

Number 10007Base 10000

Excess 7

Solution:Number plus excess(10007+7) = 10014

Square of 

excess(72

) = 49Did you notice that this time the no. of digits at the right sideis 4? This has happened because the base is 10000 (whichcontains f our zeros).

So you get your answer, i.e. 100140049

/ 004910014

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This time we take 1002 as the number in question

Number 1002Base 1000

Excess 2

Solution:Number plus excess(1002+2) = 1004

Square of 

excess(22

) = 4Did you notice that this time the no. of digits at the right sideis 3? This has happened because the base is 1000 (whichcontains three zeros).

So you get your answer, i.e. 1004004

/ 0041004

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This time we take 10025 as the number in question

Number 10025Base 10000

Excess 25

Solution:Number plus excess(10025+25) = 10050

Square of 

excess(25

2

) = 625Did you notice that this time the no. of digits at the right sideis 4? This has happened because the base is 10000 (whichcontains f our zeros).

So you get your answer, i.e. 100500625

/ 062510050

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Our brain is a unique machine.

It has 2 parts, right and lef t.

In the lef t nothing seems right.

 And in the right, nothing seems to be lef t.

Hope you enjoyed learning VM ..