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.) 5.88*10^13 miles
B.) 8.4672*10^13 miles
C.) 1.44*10^12 miles
D.) 5.88*10^12 miles

Respuesta :

Answer:

Option B - [tex]=8.4672\times 10^{13}[/tex]

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, [tex]5.88\times 10^{12}[/tex] miles.

In 14.4 lights year the distance is  [tex]=14.4\times5.88\times 10^{12}[/tex]

In 14.4 lights year the distance is  [tex]=84.672\times 10^{12}[/tex]

                                                  or  [tex]=8.4672\times 10^{13}[/tex]

Therefore, Option B is correct.