Question

Write the following in decimal form and say what kind of decimal expansion each has :

(i) $\frac{36}{100}$ (ii) $\frac{1}{11}$ (iii) $4\frac{1}{8}$

(iv) $\frac{3}{13}$ (v) $\frac{2}{11}$ (vi) $\frac{329}{400}$

Answer 1

(i) $\frac{36}{100}$0 = 0.36

= Terminating

(ii) $\frac{1}{11}$ = 0.090909 = 0.09

= Non-terminating repeating

(iii) $4\frac{1}{8}$ = $\frac{33}{8}$ = 4.125

= Terminating

(iv) $\frac{3}{13}$3 = 0.230769230769 = 0.230769

= Non-terminating repeating

(v) $\frac{2}{11}$ = 0.18181818

= Non-terminating repeating

(vi) $\frac{329}{400}$ = 0.8225

= Terminating.