Last updated at March 16, 2017 by Teachoo

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Ex1.3, 3 Express the following in the form ๐/๐ where p and q are integers and q โ 0. 0.6 ฬ Let x = 0.6 ฬ = 0.6666โฆ.. Multiplying equation (1) with 10 10x = 10 ร (0.666โฆ) 10x = 6.666โฆ Subtracting (2) from (1) i.e. (2) โ (1) 10x โ x = 6.6666โฆ โ 0. 6666โฆ 9x = 6 x = 6/9 x = 2/3 Thus, 0.6 ฬ = 2/3 Ex1.3, 3 Express the following in the form ๐/๐ where p and q are integers and q โ 0. (ii) 0.47 ฬ Let x = 0.47 ฬ = 0.47777โฆ Multiplying equation (1) with 10 10x = 10 ร (0.47777 โฆ) 10x = 4.7777โฆ Subtracting (2) from (1) i.e. (2) โ (1) 10x โ x = 4.7777โฆ โ 0.47777โฆ 9x = 4.3000 x = 4.3/9 x = 43/90 Thus, 0.47 ฬ = 43/90 Ex1.3, 3 Express the following in the form ๐/๐ where p and q are integers and q โ 0. (iii) 0. (001) ฬ Let x = 0.(001) ฬ = 0.001001โฆ Multiplying equation (1) with 1000 1000x = 1000 ร (0.001001โฆ) 1000x = 1.001001โฆ Subtracting (2) from (1) i.e. (2) โ (1) 1000x โ x = 1.001001โฆ โ 0.001001โฆ 999x = 1 x = 1/999 x = 1/999 Thus, 0.(001) ฬ = 1/999

Chapter 1 Class 9 Number Systems

Ex 1.1,3
Important

Ex 1.1,4 Important

Ex 1.2,1 Important

Ex 1.2,3 Important

Example 7 Important

Example 9 Important

Example 10 Important

Ex 1.3,3 Important You are here

Ex 1.3,8 Important

Ex 1.3,9 Important

Example 16 Important

Example 19 Important

Ex 1.5,1 Important

Ex 1.5,2 Important

Ex 1.5,4 Important

Ex 1.5,5 Important

Example 21 Important

Ex 1.6,1

Ex 1.6,2 Important

Ex 1.6,3 Important

Class 9

Important Questions for Exam - Class 9

- Chapter 1 Class 9 Number Systems
- Chapter 2 Class 9 Polynomials
- Chapter 3 Class 9 Coordinate Geometry
- Chapter 4 Class 9 Linear Equations in Two Variables
- Chapter 5 Class 9 Introduction to Euclid's Geometry
- Chapter 6 Class 9 Lines and Angles
- Chapter 7 Class 9 Triangles
- Chapter 8 Class 9 Quadrilaterals
- Chapter 9 Class 9 Areas of parallelograms and Triangles
- Chapter 10 Class 9 Circles
- Chapter 11 Class 9 Constructions
- Chapter 12 Class 9 Herons Formula
- Chapter 13 Class 9 Surface Areas and Volumes
- Chapter 14 Class 9 Statistics
- Chapter 15 Class 9 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.