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

Option C -
`1.31124*10^(15)`

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* 10^(12)` miles. Suppose a star is
`2.23* 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* 10^(12)` miles.

In
`2.23* 10^2` lights year the distance is

`=5.88* 10^(12)* 2.23* 10^2`

`=1.31124*10^(15)`

Therefore, Option C is correct.

Answer 2

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