Question

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)

Answer 1

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

C is correct

Answer 2

Option C
`=8.4672*10^(13)`

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* 10^(12)` miles

In 14.4 lights year the distance is
`=14.4* (5.88*10^(12))`

`=84.672*10^(12)`

or
`=8.4672*10^(13)`

Therefore, Option C is correct -
`=8.4672*10^(13)`