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) \(\frac{329}{400}\)
Solution and Explanation
(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.
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