Last updated at March 16, 2017 by Teachoo

Transcript

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

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

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.