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BSEB Class 7 Maths Chapter 8 घातांक Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 8 घातांक Book Answers

 BSEB Class 7 Maths Chapter 8 घातांक Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 8 घातांक Book Answers

BSEB Class 7th Maths Chapter 8 घातांक Textbooks Solutions and answers for students are now available in pdf format. Bihar Board Class 7th Maths Chapter 8 घातांक Book answers and solutions are one of the most important study materials for any student. The Bihar Board Class 7th Maths Chapter 8 घातांक books are published by the Bihar Board Publishers. These Bihar Board Class 7th Maths Chapter 8 घातांक textbooks are prepared by a group of expert faculty members. Students can download these BSEB STD 7th Maths Chapter 8 घातांक book solutions pdf online from this page.

Bihar Board Class 7th Maths Chapter 8 घातांक Books Solutions

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BSEB Class 7th Maths Chapter 8 घातांक Textbooks Solutions with Answer PDF Download

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Bihar Board Class 7 Maths घातांक Ex 8.1

Ex 8.1 Class 7 Bihar Board प्रश्न 1.
घातांकीय रूप में व्यक्त कीजिए-
(i) 5 × 5 × 5 × 5
हल :
54
(ii) c × c × c
हल :
c3
(iii) 2 × 2 × 3 × 3 × 3
हल :
22 × 33
(iv) 6 × 6 × b × b
हल :
62 × b2
(v) a × a × b × b × b × b × b × d
हल :
a2 × b5 × d

घातांक Class 7 Bihar Board प्रश्न 2.
मान ज्ञात करें-
(i) 33
हल :
33 = 3 × 3 × 3 = 27
(ii) 64
हल :
64 = 6 × 6 × 6 × 6 = 1296
(iii) 93
हल :
93 = 9 × 9 × 9 = 729
(iv) 54
हल :
54 = 5 × 5 × 5 × 5 = 625
(v) 44
हल :
44 = 4 × 4 × 4 × 4 = 256

Class 7 Maths Chapter 8 Exercise 8.1 Bihar Board प्रश्न 3.
घातांकीय संकेतन (रूप) में व्यक्त कीजिए-
(i) 343
(ii) 512
(iii) 729
(iv) 3125
हल :
(i) 343

= 7 × 7 × 7 = 343 = 73
(ii) 512

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512 = 29
(iii) 729

= 3 × 3 × 3 × 3 × 3 × 3 = 729 = 36
(iv) 3125

= 5 × 5 × 5 × 5 × 5 = 3125 = 55

Exercise 8.1 Class 7 Maths Bihar Board प्रश्न 4.
प्रत्येक में बड़ा कौन है?
(i) 43 या 34
हल :
43 = 4 × 4 × 4 = 64
34 = 3 × 3 × 3 × 3 = 81
34 बड़ा है।

(ii) 25 या 52
हल :
25 = 2 × 2 × 2 × 2 × 2 = 32
52 = 5 × 5 = 25
25 बड़ा है।

(iii) 28 या 82
हल :
28 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256
82 = 8 × 8 = 64
28 बड़ा है।

(iv) 1002 या 2100
हल :
1002 = 100 × 100
2100 = 2 × 2 × 2…..2 × 2 = 10000
2100 बड़ा है।

Class 7 Ex 8.1 Bihar Board प्रश्न 5.
अभाज्य गुणनखण्डों की घातों के गुणनफल के रूप में व्यक्त कीजिए-
(i) 1200
(ii) 720
(iii) 1080
(iv) 2280
(v) 3600
हल :
(i) 1200

= 24 × 3 × 52
(ii) 720

= 24 × 32 × 5
(iii) 1080

= 23 × 33 × 5
(iv) 2280

= 2 × 32 × 53
(v) 3600

= 24 × 32 × 52

8.1 Class 7 Bihar Board प्रश्न 6.
सरल कीजिए-
(i) 3 × 102
(ii) 72 × 32
(iii) (-1)5 × (7)3
(iv) 0 × 102
(v) 32 × 104
(vi) 34 × 23
हल :
(i) 3 × 102 = 3 × 100 = 300
(ii) 72 × 32 = 49 × 9 = 441
(iii) (-1)5 × 73 = -1 × 343 = -343
(iv) 0 × 102 = 0 × 100 = 0
(v) 32 × 104 = 9 × 10000 = 90000
(vi) 34 × 23 = 81 × 8 = 648

घात और घातांक कक्षा 7 Bihar Board प्रश्न 7.
(i) (-3)3
(ii) (-1) × (-2)3
(iii) (-4)2 × (-3)2
(iv) (-2)3 × (-10)4
(v) (-5)2 × 24
हल :
(i) (-3)3 = -3 × -3 × -3 = -27
(ii) (-1) × (-2)3 = -1 × -8 = 8
(iii) (-4)2 × (-3)2 = 16 × 9 = 144
(iv) (-2)3 × (-10)4 = -8 × 10000 = -80000
(v) (-5)2 × (2)4 = 25 × 16 = 400

Class 7 Maths 8.1 Bihar Board प्रश्न 8.
निम्न संख्यों की तुलना कीजिए-
(i) 5 × 1014, 4 × 107
(ii) 2.6 × 1012 ; 1.6 × 108
(iii) 2.7 × 1011; 3.0 × 1015
हल :
(i) 5 × 1014, 4 × 107
5 × 1014 = 5 × 100000000000000 = 500000000000000
4 × 107 = 4 × 10000000 = 40000000
∴ 5 × 1014 > 4 × 107

(ii) 2.6 × 1012 ; 1.6 × 108
2.6 × 1012 = 2610 × 10000000000000 = 26000000000000
1.6 × 108 = 1610 × 1000000000 = 1600000000
∴ 2.6 × 1018 > 1.6 × 108

(iii) 2.7 × 1011; 3.0 × 1015
2.7 × 1011 = 2710 × 1000000000000 = 2700000000000
3.0 × 1015 = 3 × 10000000000000000 = 30000000000000000
∴ 3.0 × 1015 > 2.7 × 1011

8.1 Class 7 Maths Bihar Board प्रश्न 9.
निम्नलिखित को घातांकीय रूप में लिखिए-
(i) 8729
(ii) 81343
(iii) 2431024
हल :

Bihar Board Class 7 Maths घातांक Ex 8.2

Ex 8.2 Class 7 Bihar Board प्रश्न 1.
सरल कीजिए और उत्तर को घातांकीय रूप में लिखिए-
(i) 72 × 74 × 78
(ii) 310 ÷ 36
(iii) d2 × d3
(iv) 5x × 52
(v) (53)2 ÷ 53
(vi) 35 × 55
(vii) a4 × b4
(viii) (210 ÷ 210) × 2
(ix) 9p ÷ 93
हल :

Class 7 Maths Chapter 8 Exercise 8.2 Bihar Board प्रश्न 2.
सरल कीजिए और उत्तर को घातांकीय रूप में लिखिए-
(i) 23×34×432×32
(ii) [(53)2×53]+56
(iii) 255 ÷ 54
(iv) 30 + 40 + 50
(v) 30 × 40 × 50
(vi) (40 + 50) × 20
(vii) 116×133×339×112
(viii) 5754×53
(ix) (33 × 3)3
(x) 58×𝑎5253×𝑎3
हल :

Ex 8.2 Class 7 Bihar Board प्रश्न 3.
आमाज्य गुणनखंडों की घातों के गुणनफल के रूप में व्यक्त कीजिए-
(i) 1152
(ii) 64 × 81
(iii) 540
(iv) 27 × 48 × 72
(v) 9 × 6 × 15 × 4
हल :
(i) 1152

= 27 × 32
(ii) 64 × 81
= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
= 26 × 34
(iii) 540

= 2 × 2 × 3 × 3 × 3 × 5
= 22 × 33 × 5
(iv) 27 × 48 × 72

= 27 × 48 × 72
= 3 × 3 × 3 × 2 × 2 × 2 × 2 × 3 × 2 × 2 × 2 × 3 × 3
= 33 × 24 × 3 × 23 × 32
(v) 9 × 16 × 15 × 4
= 3 × 3 × 2 × 2 × 2 × 2 × 3 × 5 × 2 × 2
= 32 × 24 × 3 × 5 × 22

Exercise 8.2 Class 7 Bihar Board प्रश्न 4.
नीचे दिए गए कथनों में सही/गलत छाँटिए तथा अपने उत्तर का कारण भी दीजिए-
(i) 100 = (1000)0
(ii) 43 × 32 = 125
(iii) 25 = 52
(iv) 10 × 106 = 1006
हल :
(i) 100 = (1000)0
100 = 1
(1000)0 = 1
100 = (1000)0 = 1 (सत्य)

(ii) 43 × 32 = 125
(22)3 × 32 = 125
26 × 32 ≠ 125 (असत्य)

(iii) 25 = 52
32 ≠ 25 (असत्य)

(iv) 10 × 106 = 1006
10 × 10000000 = 1000000000000
100000000 ≠ 1000000000000 (असत्य)

Class 7 Maths 8.2 Bihar Board प्रश्न 5.
सरल कीजिए-
(i) (32)5×5393×52
(ii) 92×32×𝑎837×𝑎3
(iii) 35×105×2557×65
हल :

Bihar Board Class 7 Maths घातांक Ex 8.3

Ex 8.3 Class 7 Bihar Board प्रश्न 1.
निम्नलिखित संख्याओं को विस्तारित रूप में लिखिए-
(i) 389505
(ii) 2005183
(iii) 230829
(iv) 30079
(v) 8324750
हल :
(i) 389505 = 3 × 105 + 8 × 104 + 2 × 103 + 5 × 102 + 0 + 5 × 1
(ii) 2005183 = 2 × 106 + 0 × 105 + 0 × 104 + 5 × 103 + 1 × 102 + 8 × 10 + 3 × 1
(iii) 230829 = 2 × 105 + 3 × 104 + 0 × 103 + 8 × 102 + 2 × 10 + 9
(iv) 30079 = 3 × 104 + 0 × 103 + 0 × 102 + 7 × 10 + 9
(v) 8324750 = 8 × 106 + 3 × 105 + 2 × 104 + 4 × 103 + 7 × 102 + 5 × 10

प्रश्न 2.
(i) 9 × 104 + 5 × 103 + 0 × 102 + 5 × 102 + 4 × 101
(ii) 7 × 105 + 8 × 103 + 4 × 102 + 7 × 100
(iii) 6 × 104 + 5 × 104 + 7 × 100
(iv) 8 × 105 + 3 × 102 + 8 × 101
हल :
(i) 9 × 104 + 5 × 103 + 0 × 102 + 5 × 102 + 4 × 101
= 90000 + 5000 + 0 + 500 + 40
= 950540

(ii) 7 × 105 + 8 × 103 + 4 × 102 + 7 × 101
= 700000 + 0000 + 8000 + 400 + 70
= 708470

(iii) 6 × 104 + 5 × 102 + 7 × 101
= 60000 + 0000 + 500 + 70
= 60570

(iv) 8 × 105 + 3 × 102 + 8 × 101
= 800000 + 00000 + 0000 + 300 + 80
= 800380

प्रश्न 3.
निम्नलिखित संख्याओं को मानक रूप में व्यक्त कीजिए-
(i) 70000000
(ii) 8000000
(iii) 416000000
(iv) 456234
(v) 9634.21
(vi) 72439.62
हल :
(i) 70000000 = 7 × 107
(ii) 8000000 = 8 × 106
(iii) 416000000 = 4 × 108 + 1 × 107 + 6 × 106 = 4.16 × 108
(iv) 456234 = 4 × 105 + 5 × 104 + 6 × 103 + 2 × 102 + 3 × 101 + 4 = 4.56234 × 105
(v) 9634.21 = 9.63421 × 103
(vi) 72439.62 = 7.243962 × 104

प्रश्न 4.
निम्नलिखित कथनों में प्रकट होने वाली संख्याओं को मानक रूप में व्यक्त कीजिए-
(i) 127560000
(ii) 1027.000000
(iii) 1400000000
(iv) 300000000
(v) 12000000000
(vi) 1000000000000
(vii) 300000000000000000000
(viii) 60230000000000000000000000
(ix) 1353000000
हल :
(i) 127560000 = 1.2756000 × 107
(ii) 1027.000000 = 1.027 × 109
(iii) 1400000000 = 1.4 × 109
(iv) 300000000 = 3 × 108
(v) 12000000000 = 1.2 × 1010
(vi) 1000000000000 = 1 × 1011
(vii) 300000000000000000000 = 3 × 1020
(viii) 60230000000000000000000000 = 6.023 × 1022
(ix) 1353000000 = 1.353 × 106

प्रश्न 5.
निम्नलिखित कथनों में प्रकट होने वाली दृश्यों को मानक रूप में व्यक्त करके घटते क्रम में सजायें-
(i) 1433500000000
(ii) 1439000000000
(iii) 149600000000
(iv) 384000000
हल :
(i) 1433500000000 = 1.4335 × 1012
(ii) 1439000000000 = 1.439 × 1012
(iii) 149600000000 = 1.496 × 1011
(iv) 384000000 = 3.84 × 108

Bihar Board Class 7th Maths Chapter 8 घातांक Textbooks for Exam Preparations

Bihar Board Class 7th Maths Chapter 8 घातांक Textbook Solutions can be of great help in your Bihar Board Class 7th Maths Chapter 8 घातांक exam preparation. The BSEB STD 7th Maths Chapter 8 घातांक Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 7th Maths Chapter 8 घातांक Books State Board syllabus with maximum efficiency.

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