Locate the following rational numbers on the number line.
(i) 0.532
(ii) $1.1\overline{5}$

(i) To locate 0.532 on the number line :

Step 1 : 0.532 lies between 0.53 and 0.54. Therefore, divide the interval between 0.53 and 0.54 into 10 equal parts.

Step 2 : Mark the 2^nd division point between 0.53 and 0.54 which gives the position of 0.532.

(ii) To locate $1.1\overline{5}$ = 1.15555… on the number line :

Step 1 : The number $1.1\overline{5}$ lies between 1 and 2. Divide the interval between 1 and 2 into 10 equal parts. The number lies between 1.1 and 1.2.

Step 2 : Divide the interval between 1.1 and 1.2 into 10 equal parts. The number lies between 1.15 and 1.16.

Step 3 : Divide the interval between 1.15 and 1.16 into 10 equal parts. The number lies between 1.155 and 1.156. Continue this process to get closer to the actual value.

Hence, 0.532 and $1.1\overline{5}$ have been located on the number line.