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 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.