Class 9 Exam  >  Class 9 Notes  >  Extra Documents & Tests for Class 9  >  RS Aggarwal Solutions: Exercise 1G - Number System

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9 PDF Download

Q.1. Simplify
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
=21
= 2
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
= (6)3
= 216

Q.2. Simplify:
(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.3. Simplify:
(i) 31/4 × 51/4
(ii) 25/8 × 35/8
(iii) 61/2 × 71/2
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.4. Simplify:
(i) (34)1/4
(ii) (31/3)4
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.5. Evaluate
(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(v)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

(vi)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(v)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(vi)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.6. If a = 2, b = 3, find the values of
(i) (ab + ba)–1

(ii) (aa + bb)–1
Ans.

(i) (ab + ba)–1

(a+ ba) −1 = (2+ 32) −1
= (8 + 9)−1

= (17)−1
= 1/17
(ii) (aa + bb)–1

(a+ bb)−1 = (2+ 33)−1
= (4 + 27)−1
= (31)−1
=1/31

Q.7. Simplify

(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) (14641)0.25
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) (14641)0.25
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.8. Evaluate
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i)
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
=4(6)2 + (4)3 + 2(3)
=144 + 64 + 6
=214
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.9. Evaluate
(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
= 2
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.10. Prove that
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
LHS = RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
= √2
= RHS
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
= RHS
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.11. Simplify RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9and express the result in the exponential form of x.
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9 

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Hence, the result in the exponential form is RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.12. Simplify the product RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.13. Simplify
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

(ii)
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.14. Find the value of x in each of the following.
(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)5x−3 × 32x−8 = 225 
(v)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, the value of x is 6.
(ii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, the value of x is 22.
(iii) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, the value of x is 5.

(iv) 5x−3×32x−8 = 225
⇒5x−3 × 32x−8 = (15)2
⇒5x−3 × 32x − 8 = 52 × 32
⇒x − 3 = 2 and 2x − 8 = 2
⇒x = 2 + 3 and 2x = 2 + 8
⇒x = 5 and 2x = 10
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
⇒ x = 5 and x = 5
⇒ x = 5
Hence, the value of x is 5.

(v)
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, the value of x is RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.15.
Prove that
(i)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
(i) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(ii)RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

=x0
=1
= RHS
Hence,RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iii)
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
=xab−ac−ba+bc.xac−bc
=x−ac+bc.xac−bc
=x−ac+bc+ac−bc
=x0
= 1
= RHS
Hence, RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
(iv) RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
= 1
= RHS
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9


Q.16. If x is a positive real number and exponents are rational numbers, simplify
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Q.17. If RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9= 1/27, prove that m – n = 1.
Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
Hence, m - n = 1

Q.18. Write the following in ascending order of magnitude.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

Ans.
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9
On Comparing (1), (2) and (3), we get
RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

The document RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9 is a part of the Class 9 Course Extra Documents & Tests for Class 9.
All you need of Class 9 at this link: Class 9
1 videos|228 docs|21 tests

FAQs on RS Aggarwal Solutions: Exercise 1G - Number System - Extra Documents & Tests for Class 9

1. What is the purpose of R.S. Aggarwal Solutions for Class 9 Number System?
Ans. The purpose of R.S. Aggarwal Solutions for Class 9 Number System is to provide a comprehensive guide for students to understand and solve problems related to number systems. It helps students practice and master the concepts covered in the textbook.
2. How can R.S. Aggarwal Solutions for Class 9 Number System help in exam preparation?
Ans. R.S. Aggarwal Solutions for Class 9 Number System can help in exam preparation by providing step-by-step solutions to the exercises and problems given in the textbook. It helps students understand the concepts and develop problem-solving skills, which are essential for scoring well in exams.
3. Are the solutions in R.S. Aggarwal Solutions for Class 9 Number System easy to understand?
Ans. Yes, the solutions in R.S. Aggarwal Solutions for Class 9 Number System are designed to be easy to understand. They provide detailed explanations and step-by-step approaches to solving problems, making it easier for students to grasp the concepts and apply them in solving similar problems.
4. Can R.S. Aggarwal Solutions for Class 9 Number System be used for self-study?
Ans. Yes, R.S. Aggarwal Solutions for Class 9 Number System can be used for self-study. The solutions are comprehensive and provide a thorough understanding of the topics covered. Students can refer to these solutions while practicing problems on their own, which will help them strengthen their concepts and improve their problem-solving skills.
5. Are R.S. Aggarwal Solutions for Class 9 Number System available in the same language as the article title?
Ans. Yes, R.S. Aggarwal Solutions for Class 9 Number System are available in the same language as the article title. The solutions are written in a language that is easy to understand and comprehend for students studying in Class 9. This ensures that students can easily follow the solutions and clarify any doubts they may have.
1 videos|228 docs|21 tests
Download as PDF
Explore Courses for Class 9 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
Related Searches

Sample Paper

,

Viva Questions

,

MCQs

,

Summary

,

Semester Notes

,

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

,

Previous Year Questions with Solutions

,

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

,

RS Aggarwal Solutions: Exercise 1G - Number System | Extra Documents & Tests for Class 9

,

practice quizzes

,

Important questions

,

Extra Questions

,

study material

,

pdf

,

shortcuts and tricks

,

Free

,

Objective type Questions

,

mock tests for examination

,

video lectures

,

past year papers

,

ppt

,

Exam

;