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

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

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tardymanchester tardymanchester · Answer 2 · 2019-02-28T18:17:27+01:00

Answer:

Option C - [tex]1.31124\times10^{15}[/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 [tex]5.88\times 10^{12}[/tex] miles. Suppose a star is [tex]2.23\times 10^2[/tex] 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 [tex]5.88\times 10^{12}[/tex] miles.

In [tex]2.23\times 10^2[/tex] lights year the distance is

[tex]=5.88\times 10^{12}\times 2.23\times 10^2[/tex]

[tex]=1.31124\times10^{15}[/tex]

Therefore, Option C is correct.