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RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1

March 8, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 5 घात और घातांक Exercise 5.1.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 7
Subject Maths
Chapter Chapter 5
Chapter Name घात और घातांक
Exercise Ex 5.1
Number of Questions 6
Category RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 5 घात और घातांक Ex 5.1

प्रश्न 1
निम्नलिखित को घातांक रूप में व्यक्त कीजिए।
(i) 7 x 7 x 7 x 7 x 7
(it) 3 x 3 x 3 x 7 x 7
(iii) a x a x a x b x b
(iv) 5 x 5 x t x t x t
हल:
(i) 7 x 7 x 7 x 7 x 7 = 75
(ii) 3 x 3 x 3 x 7 x 7 = (3 x 3 x 3) x (7 x 7) = 33 x 72
(iii) a x a x a x b x b = (a x a x a) x (b x b) = a3 x b2
(iv) 5 x 5 x t x t x t = (5 x 5) x (t x t x t) = 52 x t3

RBSE Solutions

प्रश्न 2
निम्नलिखित संख्याओं में से(RBSESolutions.com)प्रत्येक को घातांक रूप में व्यक्त कीजिए।
(i) 32
(ii) 81
(iii) 343
(iv) 125
हल:
(i) 32 = 2 x 2 x 2 x 2 x 2 = 25
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q2

(ii) 81 = 3 x 3 x 3 x 3 = 34
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q2a

(iii) 343 =7 x 7 x 7 = 73
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q2b

(iv) 125 = 5 x 5 x 5 = 53
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q2c

RBSE Solutions

प्रश्न 3
निम्नलिखित में बड़ी(RBSESolutions.com)संख्या को पहचानिए
(i) 25 या 52
(ii) 35 या 53
(iii) 310 या 103
(iv) 73 या 37
हल:
(i) 22 या 52
25 = 2 x 2 x 2 x 2 x 2 = 32
और 52 = 5 x 5 = 25
स्पष्टत; 32 > 25 ⇒ 25 > 52
अतः 25 बड़ी संख्या है।

(ii) 35 या 53
35 = 3 x 3 x 3 x 3 x 3 = 243
और 53 = 5 x 5 x 5 = 125
स्पष्ट: 243 > 125 या 35 > 53
अत: 35 बड़ी संख्या है।

RBSE Solutions

(iii) 310 या 103
310 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
= 243 x 243 = 59049
और 103 = 10 x 10 x 10 = 1000
स्पष्टत: 59049 >1000 या 310 > 103
अत: 310 बड़ी संख्या है।

(iv) 73 या 37
∴ 73 = 7 x 7 x 7 = 343
और 37 =3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187
स्पष्टतः 2187 > 343 या 37 > 73
अतः 37 बड़ी संख्या है।

प्रश्न 4
निम्नलिखित संख्याओं को(RBSESolutions.com)अभाज्य गुणनखण्डों की घातों के रूप में व्यक्त कीजिए।
(i) 324
(ii) 625
(iii) 1080
(iv) 1800
हल:
(i) भाग विधि से 324 के अभाज्य गुणनखण्ड करने पर
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q4
∴ 324 = 2 x 2 x 3 x 3 x 3 x 3
= 22 x 34

RBSE Solutions

(ii) भाग विधि से 625 के अभाज्य गुणनखण्ड करने पर,
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q4a
∴ 625 = 5 x 5 x 5 x 5
= 54

(iii) भाग विधि से 1080 के(RBSESolutions.com)अभाज्य गुणनखण्ड करने पर
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q4b
∴1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5
= 23 x 33 x 5

(iv) भाग विधि से 1800 के अभाज्य गुणनखण्ड करने पर
RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 Q4c
∴ 1800 = 2 x 2 x 2 x 3 x 3 x 3 x 5
= 23 x 32 > 52

RBSE Solutions

प्रश्न 5
सरल कीजिए।
(i) 2 x 34
(ii) 73 x 5
(iii) 53 x 22
(iv) 32 x 102
(v) 0 x 104
हल:
(i) 2 x 34 = 2 x 3 x 3 x 3 x 3 = 162
(ii) 73 x 5 = 7 x 7 x 7 x 5 = 1715
(iii) 53 x 22 = 5 x 5 x 5 x 2 x 2 = 500
(iv) 32 x 103 = 3 x 3 x 10 x 10 x 10 = 9000
(v) 0 x 104 = 0 x 10 x 10 x 10 x 10 = 0

प्रश्न 6
मान ज्ञात कीजिए।
(i) (-1)3
(ii) (- 5)4
(iii) (-4)2 x (-2)3
हल:
(i) (-1)3 = (-1) x (-1) x (-1) = -1
(ii) (-5)4 = (-5) x (-5) x (-5) x (-5) = 625
(iii) (-4)2 x (-2)3 = (-4) x (-4) x (-2) x (-2) x (-2) = – 128

RBSE Solutions

We hope the RBSE Solutions for Class 7 Maths Chapter 5 घात और घातांक Ex 5.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 7 Maths Chapter 5 घात और घातांक Exercise 5.1, drop a comment below and we will get back to you at the earliest.

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