question_answer 43)

Find: (i) \[0.\text{4}\div \text{2}\]                                       (ii) \[0.\text{35}\div \text{5}\]                   (iii) \[2.48\div 4\]                          (iv) \[~\text{65}.\text{4}\div \text{6}\] (v) \[\text{651}.\text{2}\div \text{4}\]                   (vi) \[\text{14}.\text{49}\div \text{7}\]                  (vii) \[3.96\div 4\]                     (viii) \[0.\text{8}0\div \text{5}\]

Answer:

                (i) \[0.4\div 2=\frac{0.4}{2}=\frac{0.4}{2.0}=\frac{4}{20}=\frac{4\div 4}{20\div 4}=\frac{1}{5}=0.2\]                 (ii) \[0.35\div 5=\frac{0.35}{5}=\frac{0.35}{5.00}=\frac{35}{500}=\frac{35\div 5}{500\div 5}\]\[=\frac{7}{100}=0.07\] (iii) \[2.48\div 4=\frac{2.48}{4}=\frac{2.48}{4.00}=\frac{248}{400}=\frac{248\div 8}{400\div 8}\]\[=\frac{31}{50}=0.62\] (iv) \[65.4\div 6=\frac{65.4}{6}=\frac{65.4}{6.0}=\frac{654}{60}=\frac{654\div 6}{60\div 6}\]\[=\frac{109}{10}=10.9\]                 (v) \[651.2\div 4=\frac{651.2}{4}=\frac{651.2}{4.0}=\frac{6512}{40}\]\[=\frac{6512\div 8}{40\div 8}=\frac{814}{5}=162.8\]                 (vi) \[14.49\div 7=\frac{14.49}{7}=\frac{14.49}{7.00}=\frac{1449}{700}\]\[=\frac{1449\div 7}{700\div 7}=\frac{207}{100}=2.07\]                 (vii) \[3.96\div 4=\frac{3.96}{4}=\frac{3.96}{4.00}=\frac{396}{400}=\frac{396\div 4}{400\div 4}\]\[=\frac{99}{100}=0.99\]                 (viii) \[0.80\div 5=\frac{0.80}{5}=\frac{0.80}{5.00}=\frac{8}{500}=\frac{80\div 20}{500\div 20}\]\[=\frac{4}{25}=0.16\]