Question

Astronomers measure large distances in light-years. One light-yearis the distance that light can travel in one year, or approximately 5.88x10^12 miles. Suppose a star is 2.23x10^2 light-years from Earth. In Scientific notation, approximately how many miles is it?
A) 2.23x10^14
B) 1.31x10^14
C) 1.31x10^15
D) 5.88x10^12

Answer 1

We have that
One light-year  is-------------------------------- > 5.88x10^12
2.23x10^2 light-years--------------------------- > X
x=(2.23x10^2)*(5.88x10^12)=  13.11x10^14=1.31x10^15 miles

the answer is the option C) 1.31x10^15 miles

Answer 2

Answer:

Option C - $1.31124\times10^{15}$

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  $5.88\times 10^{12}$ miles. Suppose a star is $2.23\times 10^2$ 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 $5.88\times 10^{12}$ miles.

In $2.23\times 10^2$ lights year the distance is  

$=5.88\times 10^{12}\times 2.23\times 10^2$

$=1.31124\times10^{15}$

Therefore, Option C is correct.