Light travels at an approximate rate of 1.9 × 105 mi/sec. There are about 3.2 × 107 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 number of miles 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)
To simplify the calculation, we can multiply the coefficients and add the exponents:
1.9 × 3.2 = 6.08
10^5 × 10^7 = 10^(5+7) = 10^12
Therefore, light travels approximately 6.08 × 10^12 miles in a year.
To calculate the distance 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 × 10^5 mi/sec
Number of seconds in a year = 3.2 × 10^7 seconds
Distance traveled in a year = (1.9 × 10^5 mi/sec) × (3.2 × 10^7 seconds)
To multiply these numbers in scientific notation, we multiply the coefficients and add the exponents:
(1.9 × 3.2) × (10^5 × 10^7) = 6.08 × 10^(5+7) = 6.08 × 10^12
Therefore, light travels approximately 6.08 × 10^12 miles in a year.
To find the number of miles light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
The speed of light is given as 1.9 × 105 mi/sec, and there are about 3.2 × 107 seconds in a year.
Multiplying these two values together gives us:
(1.9 × 105 mi/sec) × (3.2 × 107 sec/year)
To multiply numbers in scientific notation, we can multiply the coefficients and add the exponents.
(1.9 × 3.2) × (105 × 107) mi × sec / sec × year)
= 6.08 × (105+7) mi × year
= 6.08 × 1012 mi × year
So, light travels approximately 6.08 × 1012 miles in a year.