Light travels at an approximate rate of 1.9 x 10^5 mi./sec. There are about 3.2 x 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.
To find the distance 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 x 10^5 mi./sec
Number of seconds in a year = 3.2 x 10^7 sec
Distance traveled in a year = Speed of light x Number of seconds in a year
Distance traveled in a year = (1.9 x 10^5 mi./sec) x (3.2 x 10^7 sec)
Multiplying the coefficients: 1.9 x 3.2 = 6.08
Multiplying the powers of 10: 10^5 x 10^7 = 10^(5+7) = 10^12
So, the distance light travels in a year is 6.08 x 10^12 miles.
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.
Speed of light = 1.9 x 10^5 mi./sec.
Number of seconds in a year = 3.2 x 10^7 seconds
To multiply these two numbers together, we can multiply the coefficients (1.9 x 3.2) and add the exponents (10^5 + 10^7).
(1.9 x 3.2) x (10^5 x 10^7) = 6.08 x 10^12
Therefore, light travels approximately 6.08 x 10^12 miles in a year.
To find out how many miles light travels in a year, we need to multiply its speed (1.9 x 10^5 mi./sec) by the total number of seconds in a year (3.2 x 10^7 seconds).
To do this, we'll use the rules of multiplying numbers in scientific notation:
1. Multiply the two numerical values: 1.9 x 3.2 = 6.08
2. Add the exponents: 10^5 x 10^7 = 10^(5+7) = 10^12
So, the product of 1.9 x 10^5 and 3.2 x 10^7 is 6.08 x 10^12.
Therefore, light travels approximately 6.08 x 10^12 miles in a year.