Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 1012 miles. Suppose a star is 9.8 × 101 light-years from Earth. In scientific notation, approximately how many miles is it?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A5.88 × 1013 miles%0D%0A5.88 × 10 13 miles%0D%0A%0D%0A5.76 × 1014 miles%0D%0A5.76 × 10 14 miles%0D%0A%0D%0A5.88 × 1012 miles%0D%0A5.88 × 10 12 miles%0D%0A%0D%0A9.8 × 1012 miles
To find the approximate number of miles, we need to multiply the given distance in light-years by the value of one light-year in miles.
9.8 × 10^1 light-years * 5.88 × 10^12 miles/light-year = (9.8 × 5.88) × (10^1 × 10^12) miles
Multiplying the numbers and adding the exponents, we get:
57.624 × 10^13 miles
In scientific notation, this is approximately 5.76 × 10^14 miles.
Therefore, the correct response is: 5.76 × 10^14 miles.