Write the following in decimal form and say what kind of decimal expansion each has :
$(i)$ $\frac{36}{100}$
$(ii)$ $\frac{1}{11}$
$(iii)$ $4 \frac{1}{8}$
$(iv)$ $\frac{3}{13}$
$(v)$ $\frac{2}{11}$
$(vi)$ $\frac{329}{400}$
Write the following in decimal form and say what kind of decimal expansion each has :
$(i)$ $\frac{36}{100}$
$(ii)$ $\frac{1}{11}$
$(iii)$ $4 \frac{1}{8}$
$(iv)$ $\frac{3}{13}$
$(v)$ $\frac{2}{11}$
$(vi)$ $\frac{329}{400}$
$(i)$ $\frac{36}{100}=0.36$
Terminating
$(ii)$ $\frac{1}{11}=0.090909 \ldots \ldots=0 . \overline{09}$
Non-terminating repeating
$(iii)$ $4 \frac{1}{8}=\frac{33}{8}=4.125$
Terminating
$(iv)$ $\frac{3}{13}=0.230769230769 \ldots .$$=0 . \overline{230769}$
Non-terminating repeating
$(v)$ $\frac{2}{11}=0.18181818 \ldots \ldots .$$=0 . \overline{18}$
Non-terminating repeating
$(vi)$ $\frac{329}{400}=0.8225$
Terminating
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