1.     (i) -1 and 0

Let us write -1 and 0 as rational numbers with denominator 6.

Therefore, five rational numbers between -1 and 0 would be

(ii) -2 and -1

Let us write -2 and -1 as rational numbers with denominator 6.

Therefore, five rational numbers between -2 and -1 would be

(iii) 

let us write  as rational numbers with the same denominators

Therefore, five rational numbers between  would be

(iv) 

Let us write  as rational numbers with the same denominators.

 

Therefore, five rational numbers between  would be 

2.    (i) 

Therefore, the next four rational numbers of this pattern would be

(ii) 

Therefore, the next four rational numbers of this pattern would be

(iii) 

Therefore, the next four rational numbers of this pattern would be

(iv) 

Therefore, the next four rational numbers of this pattern would be

3.   (i) 

(ii) 

Therefore, four equivalent rational numbers are 

(iii) 

Therefore, four equivalent rational numbers are 

4.      5.    Each part which is between the two numbers is divided into 3 parts.

Therefore,  

Similarly,  

Thus, the rational numbers represented P, Q, R and S are  respectively.

6.   

7.     8.     (i)  Since, the positive number if greater than negative number.

 Since, 0 is greater than every negative number.

9.    

 Since positive number is always greater than negative number.

10.   11.    12.  13.   14.