A 43. सामान्य अंकगणित (कूदने का नियम Jumping Rule)
लेखक
ॐ जितेन्द्र सिंह तोमर
M.A., B.Ed., DNYS, MASSCOM
20/1/15/11/2021
A 43. सामान्य अंकगणित (कूदने का नियम Jumping Rule)
Jumping Rule: - On Transposing (On jumping or changing the sides) the sides of the sign of equalize left to right or right to left.
Then its sign will change like this
कूदने का नियम:- बराबर या समिका या Equal के निशान के दूसरी ओर जाने या पक्ष बदल लेने ( कूदने या पक्षांतरण करने) पर संख्या के चिन्हों को बदल देते हैं।
(The means of transposing is jumping to other sides of the
equal.)
(पक्षांतरण का अर्थ है बराबर से दूसरी ओर कूदना या जाना। अपना पक्ष बदल लेना अर्थात दया पक्ष है तो बाएं तरफ कूदना और बाया पक्ष है तो दाईं तरफ कूदना।)
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LHS = RHS
+ = –
– = +
× = ÷, /
÷ , / = ×
D = N
N = D
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LHS = RHS OR RHS = LHS
A + B = C + D or C + D = A + B
A = C + D – B or C = A + B – D
B = C + D – A or D = A + B – C
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A C
__ = ___
B D
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ब्रज गुणन या वज्र गुणन या Cross Multiplication:- इसमें दो भिन्नों या परिमेय संख्याओं के बीच में बराबर का निशान होता है।
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LHS = RHS OR RHS = LHS
A × B = C × D or C × D = A × B
A = (C × D) / B or C = (A × B)/ D
B = (C × D) / A or D = (A × B) / C
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Sol.
(a) A C
= __ या। A/B = C/D
B D
Sol.
A C
__ = __
B D
by cross Multiplication
A × D = B × C
Exercise 01
(1). Solve the following:
निम्न को सरल करो
Sol. (a)
a 1
__ = __
3 3
by cross Multiplication
a × 3 = 3 × 1
3×1
a = ____
3
3
a = __
3
a = 1
Exercise 02
(2). Solve the following:
निम्न को सरल करो
01. 6x = 18
02 7y = 14
03 2x = 6
04 4m = 16
05. 2m = 7
06. 2m = 14
07. 5p = 20
08. 10p = 100
09. 3l = 42
10. 4x = 25
11. 8y = 36
12. 20t = – 10
13. 3s = –9
14. 3s = 0
15. 2q = 6
Exercise 03
(3). Solve the following:
निम्न को सरल करो
01. x/3 = 6
02. y/3 = 6
03. y/6 = 7
04. y/8 = 4
05. x/3 = 6
06. 2m/5 = 6
07. b/2 = 8
08. x/3 = 2
09. 2m/3 = 8
10. 2p/3 = 10
11. 3x/5 = 6
12. 6m/4 = 6
13. 5b/2 = 10
14. 5x/3 = 3
15. 7m/3 = 14
16. 7p/3 = 21
17. 11x/5 = 22
18. 14 = 7m/3
19. 21= 7p/3
20. 22 = 11a/5
Exercise 04
(4). Solve the following:
निम्न को सरल करो
01. x/3 + 3 = 6
02. y/3 – 4 = 6
03. y/6 –6 = 7
04. y/8 –1 = 4
05. x/3 –16 = 6
06. 2m/5 + 1 = 6
07. b/2 + 2 = 8
08. x/3 + 5 = 2
09. 2m/3–7 = 8
10. 2p/3 +7 = 10
11. 3x/5 +9 = 6
12. 6m/4 –9 = 6
13. 5b/2 + 5 = 10
14. 5x/3 – 6 = 3
15. 7m/3 – 4 = 14
Exercise 05
(5). Solve the following:
01. x – 1 = 0
02. x + 1 = 0
03. x – 1 = 5
04. x + 6 = 2
05. y – 4 = – 7
06. y – 4 = 4
07. y + 4 = 4
08. y + 4 = – 4
09. x – 5 = 9
10. p + 4 = 15
11. m – 7 = 3
12. x + 4 = 13
13. x + 5 = 18
14. y – 5 = 7
15. x + 10 = 12
16. x – 10 = 14
17. x + 6 = 18
18. y – 9 = 7
19. x + 1 = 12
20. x – 1 = 14
Exercise 06
(6). Solve the following:
01. 7y – 10 = 0
02. 4y – 16 = 0
03. 5m – 25 = 0
04. 5m + 25 = 0
05. 3x + 9 = 0
06. 2x – 6 = 0
07. 3p + 4 = 25
08. 4p – 2 = 18
09. 3n – 2 = 46
10. 5m + 7 = 17
11.. 2m + 4 = 8
12. 4m – 5 = 11
13. 11 + 2a = 25
14. 12x + 4 = 3x
15. 75 – 3a =35
16. 2x – 3 = 5
17. 7 – 4 y = 3
18. 20x = x + 95
19. 2q – 6 = 0
20. 2q + 6 = 0
21. 2q + 6 = 12
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