Class 9th Maths – RD Sharma Chapter 1 : Number System Exercise 1.4 Solutions (Step-by-Step Guide)

RD Sharma Chapter 1 : Number System Exercise 1.4 Solutions

1. Define an irrational number. Watch Solution
2. Explain, how irrational numbers differ from rational numbers ? Watch Solution
3. Examine, whether the following numbers are rational or irrational (i)√7 (ii) √4 (iii) 2+√3 Watch Solution
4. Identify the following are rational or irrational numbers. Give the decimal representation of rational numbers: (i)√4 (ii) 3√18 (iii) √1.44 (iv) √(9/27) (v) -√64 (vi) √100 Watch Solution
5. In the following equations, find which variables x, y, z etc. represent rational or irrational numbers.(i) x^2=5 (ii) y^2=9 (iii) z^2=0.04 (iv) u^2=17/4 (v) v^2 = 3 (vi) w^2 = 27 (vii) t^2 = 0.4 Watch Solution
6. Give two rational number lying between 0.232332333233332…. and 0.212112111211112. Watch Solution
7. Give two rational numbers lying between 0.515115111511115… and 0.5353353335.. Watch Solution
8. Find one irrational number between 0.2101 and 0.222…. = 0.2 bar. Watch Solution
9. Find a rational number and also an irrational number lying between the numbers 0.3030030003… and 0.3010010001… Watch Solution
10. Find three different irrational numbers between 5/7 and 9/11. Watch Solution
11. Find two irrational numbers between 0.5 and 0.55. Watch Solution
12. Find two irrational numbers lying between 0.1 and 012. Watch Solution
13. Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is a rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number. Watch Solution

 

Number Systems- R.D. Sharma Class 9th Maths

1. Number System Exercise 1.1 Video Solutions
2. Number System Exercise 1.2 Video Solutions
3. Number System Exercise 1.3 Video Solutions
4. Number System Exercise 1.4 Video Solutions
5. Number System Exercise 1.5 Video Solutions
6. Number System Exercise 1.6 Video Solutions
7. Number System Fill in the Blanks (FBQs) Video Solutions
8. Number System Multiple Choice Questions (MCQs) Video Solutions