Light travels at an approximate rate of 1.9×10^5 mi./sec. There are about 3.2×10^7 seconds in a year. About how many miles does light travel in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.(1 point)
To find out how many miles light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
Speed of light in miles/sec = 1.9 × 10^5 mi./sec
Number of seconds in a year = 3.2 × 10^7 seconds
To find the total distance traveled, we multiply the speed of light by the number of seconds in a year:
Total distance traveled = (1.9 × 10^5 mi./sec) × (3.2 × 10^7 seconds)
To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:
Total distance traveled = 1.9 × 3.2 × 10^5 × 10^7 mi.
When we multiply the coefficients (1.9 × 3.2) and add the exponents (5 + 7), we get:
Total distance traveled = 6.08 × 10^12 mi.
Therefore, light travels approximately 6.08 × 10^12 miles in a year.
To find out how many miles light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
Speed of light = 1.9 × 10^5 mi./sec.
Number of seconds in a year = 3.2 × 10^7 seconds
To get the total distance traveled in a year, we multiply the speed of light by the number of seconds in a year:
Distance traveled in a year = (1.9 × 10^5 mi./sec.) × (3.2 × 10^7 seconds)
Multiplying the coefficients gives us:
Distance traveled in a year = (1.9 × 3.2) × (10^5 × 10^7) mi.
Simplifying the powers of 10:
Distance traveled in a year = 6.08 × 10^(5+7) mi.
Combining the powers of 10:
Distance traveled in a year = 6.08 × 10^12 mi.
So, light travels approximately 6.08 × 10^12 miles in a year.
To find out how many miles light travels in a year, we can multiply the speed of light by the number of seconds in a year.
The speed of light is given as 1.9×10^5 mi./sec and the number of seconds in a year is 3.2×10^7 seconds.
Multiply these two values together:
1.9×10^5 mi./sec * 3.2×10^7 seconds = 6.08×10^12 mi.
So, light travels approximately 6.08×10^12 miles in a year.