Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.1

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Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.1

9th Maths Exercise 2.1 Samacheer Kalvi 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.

9th Maths Real Numbers Exercise 2.1 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 \(\frac { -6 }{ 11 }\), \(\frac { -5 }{ 11 }\), \(\frac { -4 }{ 11 }\), ……, \(\frac { -1 }{ 11 }\)

9th Maths Exercise 2.1 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 q₁, q₂, q₃, q₄ and q₅ be five rational numbers, q₁ = \(\frac { 1 }{ 2 }\)(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 q₁, q₂, q₃, q₄ and q₅ be five rational numbers.