Question

Convert the following rational number into decimals and state the kind of decimal expansion.
(i) $\frac{42}{100}$
(ii) $8\frac{2}{7}$
(iii) $\frac{13}{55}$
(iv) $\frac{459}{500}$
(v) $\frac{1}{11}$
(vi) $-\frac{3}{13}$
(vii) $\frac{19}{3}$
(viii)$-\frac{7}{32}$.

Answer 1

(i) $0.42$, terminating
(ii) $8.\overline{285714}$, non-terminating and recurring
(iii) $0.2\overline{36}$, non-terminating and recurring
(iv) $0.918$, terminating
(v) $0.\overline{09}$, non-terminating and recurring
(vi) $-0.\overline{230769}$, non-terminating and recurring
(vii) $6.\overline{3}$, non-terminating and recurring
(viii) $-0.21875$, terminating.