The distance between two stars is 0.009 light years. A light year is equal to 5.88 x 10^12 miles. What is the distance,in miles, between the two stars? Represent your final answer in scientific notation
9*10^-3 LY (5.88*10^12 mi/LY)
= 52.92 * 10^9 mi
= 5.292 * 10^10 mi
To find the distance between two stars in miles, we can multiply the given distance in light years by the conversion factor for light years to miles.
Given:
Distance between two stars = 0.009 light years
Conversion factor: 1 light year = 5.88 x 10^12 miles
Multiplying 0.009 light years by the conversion factor:
Distance in miles = 0.009 light years * 5.88 x 10^12 miles
Now, we can multiply the numerical values and add the exponents:
Distance in miles = (0.009) * (5.88 x 10^12) miles
Multiplying the decimal values:
Distance in miles = 0.05292 x 10^12 miles
To express this in scientific notation, we need to rewrite the number as a decimal between 1 and 10 and multiply it by a power of 10:
Distance in miles = 5.292 x 10^11 miles
Thus, the distance between the two stars in miles is 5.292 x 10^11 miles.