Locate the following rational numbers on the number line.

(A) 0.532

(B) $1.1\overline{5}$

$0.532$ : $\leftarrow$ $-1010.532$" loading="lazy" decoding="async" />

$$(B) \ 1.1\overline{5} = 1.1555... = 1 + (0.1 + 0.0555...)$$

$$= 1 + 0.1 + \frac{1}{18} = 1 + \frac{9}{90} + \frac{5}{90} = 1 + \frac{14}{90}$$

$$= \frac{104}{90} = \frac{52}{45}.$$

Locate the point $\frac{52}{45} = 1.1555...$ between 1.15 and 1.16, slightly beyond 1.15.