Question

The distance between Hyderabad and Delhi is $1674.9$ km by rail how would you express this in centimeters? Also, express this in the scientific form.

Answer 1

Conversion of unit of distance.

Conversion units:

$$\begin{gathered} 1\mathrm{km}={10}^3\mathrm{m} \\ \mathrm{and}1\mathrm{m}={10}^2\mathrm{cm} \\ \therefore 1\mathrm{km}={10}^3\times {10}^2\mathrm{cm} \\ \Rightarrow 1\mathrm{km}={10}^5\mathrm{cm} \end{gathered}$$

The distance between Hyderabad and Delhi is $1674.9\mathrm{km}$ .

Convert the total distance kilometer to centimeter:

$$\begin{gathered} 1674.9\mathrm{km}=1674.9\times {10}^5\mathrm{cm}\left(\because 1\mathrm{km}={10}^5\mathrm{cm}\right) \\ \Rightarrow 1674.9\mathrm{km}=1.6749\times {10}^8\mathrm{cm} \end{gathered}$$

Hence, the converted distance in the centimeter is $1.6749\times {10}^8\mathrm{cm}$.