Question

Find 3 rational number between 3 and 4. Represent them on number line.

Answer 1

Answer:

Solution:

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. 

Then, 3 < 7/2 < 4

A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) 

= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4

A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) 

= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 

Therefore, 3 < 13/4 < 7/2 < 15/4 < 4

Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.