Number Systems Class - 9 CBSE NCERT .pptx

This ppt is for number system class 9

1. Number Systems Class - 9 B y - Ayush Nath

2. Real Numbers Irrational Numbers Rational Numbers Examples - ㄫ, 1.123456789….. Fractions 0.01001000100001… .. 3.142857….. Rational numbers Integers Whole numbers Natural Numbers

3. Q1. State whether true or false: (i) Every whole number is a natural number. (ii) Every integer is a rational number. (iii) Every rational number is an integer.

4. Q2. Find five rational numbers between 1 and 2.

5. Q3. Is zero a rational number? Can you write it in the form p/q , where p and q are integers and q ≠ 0?

6. Q4. Find five rational numbers between 3/5 and 4/5 .

7. Q5. State whether the following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

8. Rational numbers V/S Irrational numbers

9. Q6. Locate √2 on number line.

10. Q7. Locate √3 on the number line.

11. Q8. State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form √m , where m is a natural number. (iii) Every real number is an irrational number.

12. Q9. Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

13. Q10. Show how √5 can be represented on the number line.

14. Real numbers and their Decimal expansion

15. Q11. Find the decimal expansion of 10/3, 7/8, 1/7

16. Q12. Show that 3.142678 is a rational number. In other words, express 3.142678 in the form p/q , where p and q are integers and q ≠ 0.

17. Q13. Show that 1.272727... can be expressed in the form p q , where p/and q are integers and q ≠ 0.

18. Q14. Show that 0.2353535.... can be expressed in the form p/q ,where p and q are integers and q ≠ 0.

19. Q15. Find 2 irrational numbers between 1/7 and 2/7.

20. Q16. Write the following in decimal form and say what kind of decimal expansion each has : (i) 36/100 (ii) 1/11 (iii) 4 ⅛ (iv) 3/13 (v) 2/11 (vi) 329/400

21. Q17. Classify the following numbers as rational or irrational : (i) 23 (ii) 225 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

22. Q18. Check whether 7√5 , 7/√5, √2+21, π-2 are irrational numbers or not.

23. Q19. Add 2√2+5√3 and √2-3√3.

24. Q20. Multiply 6√5 by 2√5

25. Q21. Divide 8√15 by 2√3.

26. Q21. Represent √9.3

27. Q22. Simplify the following expressions:

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