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.
To find the distance light travels in a year, we can multiply the speed of light by the number of seconds in a year:
1.9 × 10^5 mi./sec * 3.2 × 10^7 sec/year = (1.9 * 3.2) × (10^5 * 10^7) mi.
We can simplify this expression by multiplying the numbers and adding the exponents:
(1.9 * 3.2) × (10^5 * 10^7) mi = 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 sec
Multiplying these two values together:
(1.9 × 10^5 mi./sec) * (3.2 × 10^7 sec)
By multiplying the numbers and adding the exponents, we get:
1.9 * 3.2 × 10^5 * 10^7 mi.
Combining the exponents:
1.9 * 3.2 × 10^(5 + 7) mi.
Simplifying the expression inside parentheses, we have:
1.9 * 3.2 × 10^12 mi.
The exact decimal place value of the answer is 6.
So, light travels approximately 1.9 × 3.2 × 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 total number of seconds in a year.
The speed of light is given as approximately 1.9 × 10^5 mi./sec.
The total number of seconds in a year is given as approximately 3.2 × 10^7 seconds.
To find the total distance traveled in miles, we multiply these two values:
1.9 × 10^5 mi./sec * 3.2 × 10^7 sec
When multiplying numbers in scientific notation, we can multiply the coefficients and add the exponents:
1.9 * 3.2 × 10^5 mi. * 10^7 sec
Multiplying the coefficients, we get:
6.08 × 10^5 mi. * 10^7 sec
When multiplying with the same base (10 in this case), we can add the exponents:
6.08 × 10^(5+7) mi.
Adding the exponents, we get:
6.08 × 10^12 mi.
Therefore, light travels approximately 6.08 × 10^12 miles in a year.