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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?

User Diego Navarro
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1 Answer

27 votes
27 votes

Answer:

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


1.1*10^4\text{ km/h}

Step-by-step explanation:

Given that a satellite orbiting the earth travels


1.1*10^7m

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*10^7m=1.1*10^7*10^(-3) \\ \\ =1.1*10^(7-3)\operatorname{km} \\ \\ =1.1*10^4\operatorname{km} \end{gathered}

That is, the satellite travels


\begin{gathered} 1.1*10^4\operatorname{km}\text{ per hour} \\ \text{Better written as} \\ 1.1*10^4\text{ km/h} \end{gathered}

User Janhink
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