Hg
Name: Class 9 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Number Systems – 4 (Marks 25; 50 mins)
1. Represent 5.3
in the form
2 marks
2. State True or False: 2.5 marks
a. Irrational number cannot be represented by points on the number line.
b. Rational and irrational numbers taken together form a set of real numbers.
c. π is a rational number.
d. The quotient of a rational and an irrational number is a rational number.
e. The product of a rational and an irrational number is a rational number.
3. Represent
on real number line. 1.5 marks
4. Fill in the blanks: 2 marks
a. The decimal form of an irrational number is neither ______ nor ______.
b. Every point on number line corresponds to a ____ number which may be either _____ or irrational.
5. Find 3 irrational numbers between 5/7 and 9/11. 2 marks
6. Prove that
is an irrational number. 2 marks
7. Provide 2 rational numbers lying between 3/5 and 4/5. 2 marks
8. Find 6 rational numbers between 3 and 4. 2 marks
9. Represent in decimal form: 3 marks
a.
b.
10. Given that
find a and b. 3 marks
11. Given x = 2 +
find
3 marks
Hg
Name: Class 9 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Answers:
1. 242/45
2. F, T, F, F, F
3. See Page 20 of NCERT for the method.
4. Terminating, recurring; real, rational
5. 0.75010010001……; 0.7502002002……; 0.75030030003……..
6. Sum of two irrational numbers is always irrational. See example 12 of NCERT.
7. 36/50, 36/50
8. 31/10, 32/10, 33/10, 34/10, 35/10, 36/10
9. a) 1.154… b) 4.974….
10. a = 2, b = -1
11. 52
