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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- 1.44x10 12 (12 is an exposed)

B- 5.88x10 12 miles away (12 is once again an exponent

C- 8.4672x10 13 13 is an exponet

D- 5.88 x 10 13 (13 is an exponet)

Verified Answer :

14.4 5.88 10^12
= 84.672 8 10^12
= 8.4672* 10^13   in scientific notation   

C is correct

Answer:

Option C \(=8.4672\times10^{13}\)

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 : How many miles away a star is from earth?

Solution :

In 1 light-year the distance a light can travel is = 5,880,000,000,000 miles.

                                                                   or = \(5.88\times 10^{12}\) miles

In 14.4 lights year the distance is  \(=14.4\times (5.88\times10^{12})\)

                                                        \(=84.672\times10^{12}\)

                                                    or \(=8.4672\times10^{13}\)

Therefore, Option C is correct - \(=8.4672\times10^{13}\)

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