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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 5,880,000,000,000 miles. Suppose a star is 14.4 light-years from Earth. In scientific notation, how many miles away is it?


A.) 5.8810^13 miles

B.) 8.4672
10^13 miles

C.) 1.4410^12 miles

D.) 5.88
10^12 miles

Verified Answer :

Answer:

Option B - \(=8.4672\times 10^{13}\)

Step-by-step explanation:

Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles.Suppose a star is 14.4 light years from earth.

To find : In scientific notation, how many miles away a star is from earth?

Solution :

One light-year is the distance that light can travel in one year is = 5,880,000,000,000 miles.

In scientific notation, \(5.88\times 10^{12}\) miles.

In 14.4 lights year the distance is  \(=14.4\times5.88\times 10^{12}\)

In 14.4 lights year the distance is  \(=84.672\times 10^{12}\)

                                                  or  \(=8.4672\times 10^{13}\)

Therefore, Option B is correct.