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 9.8 × 10^1 light-years from Earth. In scientific notation, approximately how many miles is it?

A. 5.88 × 10^13 miles
B. 5.76 × 10^14 miles***
C. 5.88 × 10^12 miles
D. 9.8 × 10^12 miles

correct .

So the answer is B?

I really hope so cause im on the same question

To determine the approximate number of miles, we can multiply the distance in light-years by the conversion factor of 5.88 × 10^12 miles per light-year.

In this case, we have a star that is 9.8 × 10^1 light-years from Earth. To find the approximate number of miles, we multiply the distance in light-years by the conversion factor:

Distance in miles = (9.8 × 10^1) × (5.88 × 10^12) miles/light-year

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents:

Distance in miles ≈ (9.8 × 5.88) × 10^(1 + 12) miles

Simplifying the coefficient multiplication:

Distance in miles ≈ 57.624 × 10^13 miles

Since 57.624 can be written as 5.76 × 10, we can express the final answer in scientific notation:

Distance in miles ≈ 5.76 × 10^14 miles

Therefore, the approximate number of miles is approximately **5.76 × 10^14 miles**. The correct answer is option **B**.