Question

Find the value following: -
(i)\[7\div 3.5\]
(ii)\[36\div 0.2\]
(iii)\[3.25\div 0.5\]
(iv)\[30.94\div 0.7\]
(v)\[7.75\div 0.25\]
(vi)\[7.65\div 0.15\]
(vii)\[0.5\div 0.25\]
(viii)\[2.73\div 1.3\]

Answer 1

Hint: In the above question we have to perform division between decimal numbers. So, we will multiply the decimal numbers by a factor of 10 so that the decimal gets vanished.
Complete step-by-step answer:
(i)We have been given, \[7\div 3.5\]
                                     \[\Rightarrow 7\div 3.5=\dfrac{7}{3.5}\]
                                    Now, we will multiply the numerator as well as denominator by 10 we get,
                                   \[\Rightarrow 7\div 3.5=\dfrac{7\times 10}{3.5\times 10}=\dfrac{70}{35}=2\]
                                    Hence, the answer will be 2.

(ii)We have been given, \[36\div 0.2\].
                                    \[\Rightarrow 36\div 0.2=\dfrac{36}{0.2}\]
                                   Now, we will multiply the numerator as well as denominator by 10 we get,
                                  \[\Rightarrow 36\div 0.2=\dfrac{36}{0.2}=\dfrac{36\times 10}{0.2\times 10}=\dfrac{360}{2}=180\]
                                   Hence, the answer will be 180.

(iii)\[3.25\div 0.5\]
              \[\Rightarrow 3.25\div 0.5=\dfrac{3.25}{0.5}\]
                                    Now, we will multiply the numerator as well as denominator by 10 we get,
                                    \[\Rightarrow 3.25\div 0.5=\dfrac{3.25\times 10}{5\times 10}=\dfrac{325}{50}=\dfrac{65}{10}=6.5\]
                                    Hence, the answer is 6.5

(iv)We have been given, \[30.94\div 0.7\]
                                    \[\Rightarrow 30.94\div 0.7=\dfrac{30.94}{0.7}\]
                                    On multiplying numerator as well as denominator by 100, we get,
                                    \[\Rightarrow 30.94\div 0.7=\dfrac{30.94\times 100}{0.7\times 100}=\dfrac{3094}{70}=44.2\]
                                    Hence, the answer is 44.2.

(v)We have been given, \[7.75\div 0.25\].
                                    \[\Rightarrow 7.75\div 0.28=\dfrac{7.75}{0.25}\]
                                    On multiplying numerator as well as denominator by 100, we get
                                   \[\Rightarrow 7.75\div 0.28=\dfrac{7.75\times 100}{0.25\times 100}=\dfrac{775}{25}=31\]
                                    Hence, the answer is 31.

(vi)We have been given, \[7.65\div 0.15\]
                                   \[\Rightarrow 76.5\div 0.15=\dfrac{76.5}{0.15}\]
                                  On multiplying numerator as well as denominator by 100, we get
                                   \[\Rightarrow 76.5\div 0.15=\dfrac{76.5\times 100}{0.15\times 100}=\dfrac{7650}{15}=510\]
                                    Hence, the answer is 510.

(vii)We have been given, \[0.5\div 0.25\]
                             \[\Rightarrow 0.5\div 0.25=\dfrac{0.5}{0.25}\]
                             On multiplying the numerator as well as denominator by 100, we get
                              \[\Rightarrow 0.5\div 0.25=\dfrac{0.5\times 100}{0.25\times 100}=\dfrac{50}{25}=2\]
                              Hence, the answer is 2.

(viii)We have been given, \[2.73\div 1.3\]
                             \[\Rightarrow 2.73\div 1.3=\dfrac{2.73}{1.3}\]
                             On multiplying numerator as well as denominator we get,
                             \[\Rightarrow 2.73\div 1.3=\dfrac{2.73\times 100}{1.3\times 100}=\dfrac{273}{130}=2.1\]
                             Hence, the answer is 2.1.

Note: If the decimal has one place before the number then we will multiply the whole number by factor of 10. For 2 places decimal, multiply by 100 and so on.