Question

on one hour, a satellite orbiting the earth travels 1.1×10^7 m (meters). which of the following is the best way to rewrite this quantity, using more appropriate units?

Answer 1

Answer:

The best way to rewrite the given quantity using more appropriate units is:

$1.1\times10^4\text{ km/h}$

Explanation:

Given that a satellite orbiting the earth travels

$1.1\times10^7m$

The best way to write this quantity, using more apprpriate untis is by converting the quantity given in meters to kilometers.

Note that:

$\begin{gathered} 1000m=1\operatorname{km} \\ \\ \text{and} \\ \\ 1m=0.001\operatorname{km}=10^{-3}\operatorname{km} \end{gathered}$

So,

$\begin{gathered} 1.1\times10^7m=1.1\times10^7\times10^{-3} \\ \\ =1.1\times10^{7-3}\operatorname{km} \\ \\ =1.1\times10^4\operatorname{km} \end{gathered}$

That is, the satellite travels

$\begin{gathered} 1.1\times10^4\operatorname{km}\text{ per hour} \\ \text{Better written as} \\ 1.1\times10^4\text{ km/h} \end{gathered}$