Question

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)?

Answer 1

The answer is: "6.2 light years" .
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{ Note: There are no answer choices provided. If there are supposed to be, then round to answer choice closest to " 6.2 light years ". }.
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Step-by-step explanation:
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`(5.9 * 10^1^3 km) * ( (1 light year)/(9.46 *10^1^2 km)` ;

= (
`(5.9 * 10^1^3 km)/(9.46 * 10^1^2 km)` light years ;

=
`(5.9 km)/(9.46 km) * (10^1^3^-^1^2)` light years ;

=
`(5.9 km)/(9.46 km) * (10^1)` light years ;

=
`(5.9 km)/(9.46 km) * (10)` light years ;

=
`(5.9 km)/(9.46 km) * (10)` light years ;

=
`(5.9 km * 10)/(9.46 km)` light years ;

=
`(59 km)/(9.46 km)` light years ;

Note: We can "cancel out" BOTH of the units of "km" ;

→ {since: "km/km = 1 "} ; and rewrite:
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=
`(59)/(9.46)` light years ;

= " { 59 ÷ 9.46 } " light years ;

= 6.2367864693446089 light years.
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Round to "6.2 light years" ; since there are no answer choices provided.
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