The distances in space are measured in light-years. The distance from Earth to a star is 5.9 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?
The answer is: "6.2 light years" . ______________________________________________________ {Note: There are no answer choices provided. If there are supposed to be, then round to answer choice closest to " 6.2 light years ". }. ______________________________________________________ Explanation: ______________________________________________________
= [tex] \frac{5.9 km}{9.46 km} * (10^1^3^-^1^2)[/tex] light years ;
= [tex] \frac{5.9 km}{9.46 km} * (10^1)[/tex] light years ;
= [tex] \frac{5.9 km}{9.46 km} * (10)[/tex] light years ;
= [tex] \frac{5.9 km}{9.46 km} * (10)[/tex] light years ;
= [tex] \frac{5.9 km * 10}{9.46 km}[/tex] light years ;
= [tex] \frac{59 km}{9.46 km}[/tex] light years ;
Note: We can "cancel out" BOTH of the units of "km" ;
→ {since: "km/km = 1 "} ; and rewrite: _______________________________________________________
= [tex] \frac{59}{9.46}[/tex] light years ;
= " { 59 ÷ 9.46 } " light years ;
= 6.2367864693446089 light years. _________________________________________________________ Round to "6.2 light years" ; since there are no answer choices provided. _________________________________________________________
