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.
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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
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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