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 Textbooks Solutions PDF

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Bihar Board Class 7th Maths Chapter 8 घातांक Books Solutions

Board	BSEB
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	7th
Subject	Maths Chapter 8 घातांक
Chapters	All
Provider	Hsslive

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

Find below the list of all BSEB Class 7th Maths Chapter 8 घातांक Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

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) 5^x × 5²
(v) (5³)² ÷ 5³
(vi) 3⁵ × 5⁵
(vii) a⁴ × b⁴
(viii) (2¹⁰ ÷ 2¹⁰) × 2
(ix) 9^p ÷ 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

BSEB Textbook Solutions PDF for Class 7th

• BSEB Class 7 Textbook Solutions PDF: Download Bihar Board STD 7th Book Answers
• BSEB Class 7 Maths Textbook Solutions PDF: Download Bihar Board STD 7th Maths Book Answers
• BSEB Class 7 Maths Chapter 1 पूर्णांक की समझ Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 1 पूर्णांक की समझ Book Answers
• BSEB Class 7 Maths Chapter 2 भिन्न Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 2 भिन्न Book Answers
• BSEB Class 7 Maths Chapter 3 दशमलव भिन्न Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 3 दशमलव भिन्न Book Answers
• BSEB Class 7 Maths Chapter 4 आँकड़ों का प्रबंधन Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 4 आँकड़ों का प्रबंधन Book Answers
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• BSEB Class 7 Maths Chapter 7 सर्वांगसमता Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 7 सर्वांगसमता 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 7 Maths Chapter 9 बीजीय व्यंजक Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 9 बीजीय व्यंजक Book Answers
• BSEB Class 7 Maths Chapter 10 राशियों की तुलना Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 10 राशियों की तुलना Book Answers
• BSEB Class 7 Maths Chapter 11 सरल समीकरण Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 11 सरल समीकरण Book Answers
• BSEB Class 7 Maths Chapter 12 परिमेय संख्याएँ Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 12 परिमेय संख्याएँ Book Answers
• BSEB Class 7 Maths Chapter 13 ज्यामितीय आकृतियों की रचना Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 13 ज्यामितीय आकृतियों की रचना Book Answers
• BSEB Class 7 Maths Chapter 14 सममिति Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 14 सममिति Book Answers
• BSEB Class 7 Maths Chapter 15 परिमाप और क्षेत्रफल Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 15 परिमाप और क्षेत्रफल Book Answers
• BSEB Class 7 Maths Chapter 16 त्रिविमीय आकृतियों का द्विविमीय निरूपण Textbook Solutions PDF: Download Bihar Board STD 7th Maths Chapter 16 त्रिविमीय आकृतियों का द्विविमीय निरूपण Book Answers

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