OSE 01 Vedic Maths || Ten points circle (Part 1) & विलोकनम सूत्र द्वारा जोड़ना
लेखक
ॐ जितेन्द्र सिंह तोमर
(M.A., B. Ed., MASSCOM, DNYS )
(Specialist in Basic and Vedic Maths)
इस 10 पॉइंट सर्कल को ध्यान में रखिए क्योंकि यह संकलन अथवा वेब कलन (जोड़ने व घटाने) में बहुत सहायक होता है, इसलिए हम आपको यहां इसे समझाने का प्रयास कर रहे हैं कि 10 पॉइंट सर्कल क्या है ?
वास्तव में यह एक सर्कल पर लिए गए 10 बिंदु हैं जिन पर एक से लेकर दस तक गिनती लिखी हुई हैं अर्थात नेचुरल नंबर लिखे हुए हैं।
जब इनका रिलेशन बनाते है तो हम पाते हैं कि यहां पर 4 पेअर और दो सिंगल हैं।
1 व 9
2 व 8
3 व 7
4 व 6
5 व 5
10
इस नियम को अपनाते हुए हमें 10 या उसके गुण आज आधारों को दिमाग में रखते हैं और संख्याओं को इस प्रकार से पढ़ते हैं।
30
31 को हम पढ़ेंगे 30 से 1 अधिक
32 को हम पढ़ेंगे 30 से 2 अधिक
.
.
.
38 को हम पढ़ेंगे 40 से 2 कम
39 को हम पढ़ेंगे 40 से 1 कम
40
आदि आदि।
इससे हमें संख्याओं को प्यार करके जोड़ने में अर्थात जुड़ा बनाकर जोड़ने में काफी आसानी रहेगी।
Keep this 10 point circle in mind because it is very helpful in compilation or web calculus (addition and subtraction), so here we are trying to explain to you what is 10 point circle?
In fact, it is 10 points taken on a circle, on which the number from one to ten is written i.e. natural numbers are written.
When we make their relation, we find that there are 4 pairs and two singles.
1 and 9
2 and 8
3 and 7
4 and 6
5 and 5
10
By adopting this rule we keep in mind the bases of 10 or its multiples today and read the numbers as follows.
30
On 31 we will read 30 over 1
We will read 32 more than 30
,
,
,
We will read 38 as 2 less than 40
We will read 39 as 1 less than 40
40
etc.
This will make it much easier for us to connect the numbers with love, that is, by connecting them.
Vedic maths tricks for Addition
The addition is one of the most basic operations of Vedic mathematics. It states that,
(1) Find out the number which is closest to the 10s multiple because it is easier to add those numbers. For example,
7, 8, 9 close to 10
21, 22, 23 close to 20
67, 68, 69, are close to 70
97, 98, 99, are close to 100 ....... and so on. .....
(2) Add the numbers which are the multiples of 10s/p>
(3) Add/Subtract the deficiency of numbers.
Let’s understand with the help of an example.
Suppose, we have to add 27 and 98.
So, Vedic maths tells us to add 30 and 100 which is 130 and then subtract (3+2) i.e. the deficiency from 130. So the result will be 125.
Similarly, if we have to add 66 and 576.
So, Vedic maths tells us to add 70 and 580 which is 650 and then subtract (4+4) i.e. the deficiency from 650. So the result will be 642.
There is yet another trick to perform addition using Vedic maths which states to add hundreds with hundreds, tens with tens and ones with ones, and so on.
For example, Suppose we have the following question, 220 + 364 + 44 + 18 = ?
Vedic maths tells us to break the numbers as per their place values. So, we will break the addition into:
200 + 300 = 500
20 + 60 +40 +10 = 130
4 + 4 +8 = 16
Repeat the process:
500 + 100 = 600
30 + 10 = 40
And at the units place we have 6.
Now perform, 600 + 40 + 6 = 646
Adding by Viloknama Sutra (2)
विलोकनम सूत्र द्वारा जोड़ना (2)
आधार से कमी करना या आधार से अधिकता करना।
By differencing from the base and adding to the base
For this we have to see how close a number is from the base. That is, how more or how much less is the number than the base.
इसके लिए हमें यह देखना पड़ता है कि कोई संख्या आधार के कितना निकट है। अर्थात संख्या आधार से कितनी कम है या कितनी अधिक है।
No. base Less or More from Base
संख्या आधार आधार से कमी या अधिकता
How low is a number?
कोई संख्या कितनी कम है?
38 40 – 2
47 50 – 3
59 60 – 1
86 90 – 4
97 100 – 3
How more is a number?
कोई संख्या कितनी अधिक है?
31 40 + 1
43 50 + 3
52 60 + 2
84 90 + 4
95 100 + 5
Practice Time (1)
(1) 7 + 3
(2) 8 + 2
(3) 25 + 5
(4) 14 + 6
(5) 7 + 13
(6) 28 + 2
(7) 22 + 8
(8) 84 + 6
(9) 86 + 4
(10) 61 + 9
(11) 69 + 1
(12) 46 + 4
(13) 44 + 6
(14) 63 + 7
(15) 67 + 3
Practice Time (2)
(1) 17 + 23
(2) 28 + 22
(3) 25 + 15
(4) 14 + 36
(5) 37 + 13
(6) 28 + 42
(7) 22 + 68
(8) 84 + 16
(9) 86 + 14
(10) 61 + 29
(11) 69 + 21
(12) 46 + 34
(13) 44 + 26
(14) 63 + 27
(15) 67 + 33
Practice Time (3)
(1) 47 + 25
(2) 48 + 24
(3) 54 + 29
(4) 27 + 26
(5) 37 + 15
(6) 28 + 34
(7) 22 + 49
(8) 47 + 46
(9) 69 + 24
(10) 45 + 39
(11) 69 + 36
(12) 46 + 58
(13) 48 + 56
(14) 65 + 37
(15) 67 + 29
Examples
(1)
_______
↓ ↓
5 + 1 + 7 + 29
↑_______↑
= 12 + 30
= 42
(2)
________
↓ ↓
26 + 3 + 4 + 37
↑_______↑
= 30 + 30
= 60
(3)
__________
↓ ↓
13 + 21 + 7 + 27
↑_______↑
= 20 + 48
= 68
(4)
________
↓ ↓
28 + 23 + 24 + 13
= 20 + 8 + 20 + 3 + 20 + 4 + 10 + 3
= 20 + 20 + 20 + 10 + 8 + 3 + 4 + 3
= 70 + 18
= 88
= 60
Practice Time (4)
(1) 5 + 1 + 7 + 29
(2) 19 + 1 + 7 + 15
(3) 16 + 14 + 23 + 27
(4) 17 + 13 + 7 + 29
(5) 18 + 11 + 22 + 33
(6) 34 + 22 + 36 + 18
(7) 12 + 25 + 18 + 24
(8) 16 + 17 + 24 + 33
(9) 13 + 19 + 15 + 17 + 11
(10) 14 + 17 + 18 + 26 + 13
(11) 16 + 17 + 15 + 14 + 13
स्रोत
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