GSEB Solutions for Class 9 Mathematics – Number System (English Medium)
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Exercise 2:
Solution 1:
Solution 2:
Solution 3:
Solution 4:
Solution 5:
Solution 6(1):
Solution 6(2):
Solution 6(3):
Solution 6(4):
Solution 7:
Solution 8:
Solution 9:
Solution 10:
Solution 11:
Solution 12:
Solution 13:
Solution 14:
Solution 15:
Solution 16:
Solution 17:
Solution 18(1):
a. N
Set of all natural numbers is denoted by N.
Solution 18(2):
b. W
Set of all whole numbers is denoted by W.
Solution 18(3):
c. Z
Set of all integers is denoted by Z.
Solution 18(4):
d. Q
Set of all rational numbers is denoted by Q.
Solution 18(5):
b. Every integer is a rational number
N = Natural Numbers
W = Whole Numbers
Z = Integers
Q = Rational numbers
R = Real Numbers
N ⊂ W ⊂ Z ⊂ Q ⊂ R
Solution 18(6):
Solution 18(7):
Solution 18(8):
Solution 18(9):
Solution 18(10):
d. infinitely many
There are infinitely many rational numbers between two given numbers.
Solution 18(11):
Solution 18(12):
b. the set of real numbers
The collection of rational numbers and irrational numbers together is called the set of real numbers.
Solution 18(13):
Solution 18(14):
Solution 18(15):
Solution 18(16):
d. a rational number
0.235 is a terminating decimal.
∴ The number 0.235 is a rational number.
Solution 18(17):
Solution 18(18):
Solution 18(19):
Solution 18(20):
Solution 18(21):
Solution 18(22):
Solution 18(23):
Solution 18(24):
Solution 18(25):
Solution 18(26):
Solution 18(27):
Solution 18(28):
Solution 18(29):
Solution 18(30):
Solution 18(31):
Solution 18(32):
Solution 18(33):
Solution 18(34):
Solution 18(35):
Solution 18(36):
Exercise 2.1:
Solution 1:
Solution 2:
Solution 3:
Solution 4:
Solution 5:
Exercise 2.2:
Solution 1:
Solution 2:
On the number line m, take point O corresponding to zero.
Now take point P on line m such that OP = 2 unit.
Construct right angled Δ OPA such that m∠OPA = 90° and PA = 1 unit.
Solution 3:
On the number line m, take point O corresponding to zero. Take point P on line m such that OP = 4 units.
Construct right angled ΔOPA such that mOPA = 90° and PA = 1 unit.
Exercise 2.3:
Solution 1:
Solution 2(1):
Solution 2(2):
Solution 2(3):
Solution 2(4):
Solution 2(5):
Solution 2(6):
Solution 3:
Solution 4:
Solution 5(1):
Solution 5(2):
Solution 5(3):
Solution 6:
Exercise 2.4:
Solution 1(1):
Solution 1(2):
Solution 1(3):
Solution 1(4):
Solution 1(5):
Solution 1(6):
Solution 2(1):
Solution 2(2):
Solution 2(3):
Solution 2(4):
Solution 2(5):
Solution 2(6):
Solution 3:
Solution 4(1):
Solution 4(2):
Solution 4(3):
Solution 4(4):
Solution 4(5):
Solution 5(1):
Solution 5(2):
Solution 5(3):
Solution 5(4):
Solution 5(5):
Exercise 2.5:
Solution 1:
Solution 2:
Solution 3:
