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Q

Find : 7 divided 3.5

5.   Find:

             (i)\; 7\div 3.5         (ii)\; 36\div 0.2            (iii)\; 3.25\div 0.5          (iv)\; 30.94\div 0.7

             (v)\; 0.5\div 0.25      (vi)\; 7.75\div 0.25    (vii)\; 76.5\div 0.15     (viii)\; 37.8\div 1.4

              (ix)\; 2.73\div 1.3 

Answers (1)
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As we know, while dividing decimal, we first express the decimal in term of fraction and then divides it,

And

Dividing by a number is equivalent to multiplying by the reciprocal of that number. 

So

(i)\; 7\div 3.5 

\; 7\div 3.5=7\div \frac{35}{10}=7\times\frac{10}{35}=\frac{70}{35}=2

 (ii)\; 36\div 0.2           

\; 36\div 0.2=36\div\frac{2}{10}=36\times\frac{10}{2}=180

(iii)\; 3.25\div 0.5         

\; 3.25\div 0.5=\frac{325}{100}\div\frac{5}{10}=\frac{325}{100}\times\frac{10}{5}=\frac{65}{10}=6.5

(iv)\; 30.94\div 0.7

\; 30.94\div 0.7=\frac{3094}{100}\div\frac{7}{10}=\frac{3094}{100}\times\frac{10}{7}=\frac{442}{10}=44.2            

(v)\; 0.5\div 0.25     

\; 0.5\div 0.25=\frac{5}{10}\div\frac{25}{100}=\frac{5}{10}\times\frac{100}{25}=\frac{10}{5}=2

(vi)\; 7.75\div 0.25    

\; 7.75\div 0.25=\frac{775}{100}\div\frac{25}{100}=\frac{775}{100}\times\frac{100}{25}=31

(vii)\; 76.5\div 0.15  

 \; 76.5\div 0.15=\frac{765}{10}\div\frac{15}{100}=\frac{765}{10}\times\frac{100}{15}=510

 (viii)\; 37.8\div 1.4

 \; 37.8\div 1.4=\frac{378}{10}\div\frac{14}{10}=\frac{378}{10}\times\frac{10}{14}=27           

(ix)\; 2.73\div 1.3 

\; 2.73\div 1.3=\frac{273}{100}\div\frac{13}{10}=\frac{273}{100}\times\frac{10}{13}=\frac{21}{10}=2.1

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