Question

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?

Answer 1

1 Light Year =
`5.88*10^(12)` miles

The distance of star from the Earth in Light Years =
`1.92*10^(3)` Light Years.

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


`(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)`

Thus, the star is approximately
`1.13*10^(16)` miles from the Earth.