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Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88x10^12 miles. Suppose a star is 1.92x10^3 light-years from Earth. In Scientific notation, approximately how many miles is it?

Respuesta :

1 Light Year = [tex]5.88*10^{12} [/tex] miles

The distance of star from the Earth in Light Years = [tex]1.92*10^{3} [/tex] Light Years.

The distance of star from the Earth in miles will be:

[tex](1.92*10^{3})*(5.88*10^{12}) \\ \\ =1.92*5.88*10^{3+12} \\ \\ =1.92*5.88*10^{15} \\ \\ =11.2896*10^{15} \\ \\ =1.12896*10*10^{15} \\ \\ =1.13*10^{16} [/tex]

Thus, the star is approximately [tex]1.13*10^{16} [/tex] miles from the Earth. 

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