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?

Question

asked Aug 11, 2023 150k views

1 Answer

Arian Al Lami · Answer 1 · 2023-08-18T13:14:13+0000

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

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

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