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.