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? (1 point) Responses 5.88 × 1013 miles 5.88 × 10 13 miles 5.76 × 1014 miles 5.76 × 10 14 miles 5.88 × 1012 miles 5.88 × 10 12 miles 9.8 × 1012 miles
In scientific notation, the distance is expressed as 9.8 × 10^1 light-years. We know that 1 light-year is approximately 5.88 × 10^12 miles.
To find the distance in miles, we multiply the given distance in light-years by the conversion factor:
9.8 × 10^1 light-years * 5.88 × 10^12 miles/light-year
Now we can simplify this expression:
(9.8 * 5.88) × (10^1 * 10^12) miles
= 57.624 × 10^13 miles
= 5.7624 × 10^14 miles
Therefore, in scientific notation, approximately 5.76 × 10^14 miles is the distance.