## Tamilnadu State Board Class 9 Maths Solutions Chapter 2 Real Numbers Ex 2.1

Question 1.

Which arrow best shows the position of \(\frac { 11 }{ 3 }\) on the number line?

Solution:

\(\frac { 11 }{ 3 }\) = 3.666….. = 3.7 (nearly)

∴ D arrow best shows the position of \(\frac { 11 }{ 3 }\) on the number line.

Question 2.

Find any three rational numbers between \(\frac { -7 }{ 11 }\) and \(\frac { 2 }{ 11 }\).

Solution:

Three rational numbers between \(\frac { -7 }{ 11 }\) and \(\frac { 2 }{ 11 }\) are \(\frac { -6 }{ 11 }\), \(\frac { -5 }{ 11 }\), \(\frac { -4 }{ 11 }\), ……, \(\frac { -1 }{ 11 }\)

Question 3.

Find any five rational numbers between

(i) \(\frac { 1 }{ 4 }\) and \(\frac { 1 }{ 5 }\)

(ii) 0.1 and 0.11

(iii) -1 and -2

Solution:

(i) a = \(\frac { 1 }{ 4 }\), b = \(\frac { 1 }{ 5 }\)

Let q_{1}, q_{2}, q_{3}, q_{4} and q_{5} be five rational numbers, q_{1} = \(\frac { 1 }{ 2 }\)(a + b)

(ii) The rational numbers between 0.1 and 0.11 are 0.101, 0.102, 0.103, …..0.109.

(iii) -1 and -2

Let q_{1}, q_{2}, q_{3}, q_{4} and q_{5} be five rational numbers.