CBSE CLASS 9 MATHS NUMBER SYSTEM EXTRA QUESTIONS
Number System - Work Sheet
1. Find three rational numbers between 3/5 and 7/8 .
2. Find five rational numbers between √5/7 and 4/5 .
3. Find two irrational numbers whose –
(i) Sum is a rational number.
(ii) Sum ia an irrational number.
(iii) Difference is a rational number.
(iv) Difference 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.
4. Let x be rational and y be irrational. Is xy necessarily an irrational? Justify your answer by an example.
5. Construct √10 on number line.
6. Insert a rational and an irrational number between 2.357 and 3.121.
7. Express as a fraction in the simplest form.
8. If x = 3 +2√2, find out whether x – 1/x is rational or irrational.
9. Show that can be expressed in the form p/q .
10. Express in the form p/q .
11. Express in the form p/q .
12. Visualise on number line upto 3 digits after decimal.
13. Rationalise the denominator of the following :
14. Simplify :
15. Find the value of ‘a’ and ‘b’ if,
16. Simplify : (i) (ii)
17. Simplify :
18. If , find the value of .
19. If , find the value of
20. Simplify
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