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)
miles
To find the total number of miles light travels in a year, we need to multiply the speed of light (1.9 * 10^5 mi/sec) by the number of seconds in a year (3.2 * 10^7 seconds).
(1.9 * 10^5 mi/sec) * (3.2 * 10^7 sec) = (1.9 * 3.2) * (10^5 * 10^7) = 6.08 * 10^12 miles
Therefore, light travels approximately 6.08 * 10^12 miles in a year.
To find out how many miles light travels in a year, we multiply the velocity of light by the number of seconds in a year.
Velocity of light = 1.9 * 10^5 mi/sec
Number of seconds in a year = 3.2 * 10^7 seconds
So, the distance traveled by light in a year is:
1.9 * 10^5 mi/sec * 3.2 * 10^7 seconds
Multiplying the numbers, we get:
(1.9 * 3.2) * (10^5 * 10^7) mi
Simplifying the scientific notation, we add the exponents and multiply the coefficients:
6.08 * 10^(5+7) mi
This can be further simplified as:
6.08 * 10^12 mi
Therefore, light travels approximately 6.08 * 10^12 miles in a year.
To find the approximate number of 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.
The number of seconds in a year is 3.2 * 10^7 seconds.
To multiply these values, we can multiply the numerical parts and add the exponents:
(1.9 * 10^5 mi/sec) * (3.2 * 10^7 sec/year) = (1.9 * 3.2) * (10^5 * 10^7) mi
Multiplying the numerical parts gives us:
1.9 * 3.2 = 6.08
Adding the exponents gives us:
10^5 * 10^7 = 10^(5+7) = 10^12
Therefore, light travels approximately 6.08 * 10^12 miles in a year.