Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. Suppose a star is 9.8 × 10^1 light-years from Earth. In scientific notation, approximately how many miles is it?

SO the question ask to find the approximate distance in mile of the light calculated by an astronomer where as the given is a light year, so base on the data has given, the possible answer would be 5.7624*10^14. I hope you are satisfied with my answer and feel free to ask for more

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boffeemadrid boffeemadrid · Answer 2 · 2022-02-08T07:06:47-05:00

The distance of the star in miles is required.

The distance of the star is \(5.81\times 10^{14}\ \text{miles}\) from Earth.

Conversion of units

The distance of the star is \(9.88\times 10^1\ \text{light-years}\)

The conversion factor is

\(1\ \text{light-year}=5.88\times 10^{12}\ \text{miles}\)

\(9.88\times 10^{1}\ \text{light-year}=9.88\times 10^1\times 5.88\times 10^{12}=5.81\times 10^{14}\ \text{miles}\)

The distance of the star is \(5.81\times 10^{14}\ \text{miles}\) from Earth.

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