Chapter 1, Problem 2STP

To determine

To Choose: The correct option.

Answer to Problem 2STP

Option C: $8.62\times {10}^{-4}\text{km}$

Explanation of Solution

Given:

  $x=86.2\text{cm}$

Formula Used:

Relation between centimetre, meter, millimetre, kilometre and decimetre is as follows:

  $\begin{array}{l}1\text{cm =}{10}^{-2}\text{m}\\ 1\text{cm =}{10}^{-5}\text{km}\\ 1\text{cm =}10\text{mm}\\ 1\text{cm =}{10}^{-1}\text{m}\end{array}$

Calculations:

Write the given value in terms of different units:

  $\begin{array}{l}86.2\text{cm =}86.2\times {10}^{-2}\text{m = }0.862\text{m}\\ 86.2\text{cm =}86.2\times {10}^{-5}\text{km}\text{= 8}\text{.62}\times {\text{10}}^{-4}\text{km}\\ 86.2\text{cm =}86.2\times 10\text{mm}\text{=862}\text{mm}\\ 86.2\text{cm =}86.2\times {10}^{-1}\text{m}\text{= 8}\text{.62}\text{dm}\end{array}$

Conclusion:

Thus, the correct option is C.