Math 8A Unit 4 Study Guide
11. Light travels at an approximate rate of 1.9 * 10 ^ 5 * mi ./sec There are approximately 2.6 * 10 ^ 6 seconds in a month. About how many miles does light travel in a month? Write the answer in scientific notation. Express the answer to the exact decimal place.
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To find how many miles light travels in a month, we multiply the rate of light by the number of seconds in a month.
Rate of light = 1.9 * 10^5 mi/sec
Number of seconds in a month = 2.6 * 10^6 sec
Miles traveled in a month = (1.9 * 10^5 mi/sec) * (2.6 * 10^6 sec)
= 4.94 * 10^(5+6) mi
= 4.94 * 10^11 mi
Therefore, light travels approximately 4.94 * 10^11 miles in a month.
To find out how many miles light travels in a month, we need to multiply the speed of light by the number of seconds in a month.
Speed of light = 1.9 * 10^5 miles/sec
Number of seconds in a month = 2.6 * 10^6 seconds
To calculate the total distance light travels in a month, multiply these two values:
Total distance = (1.9 * 10^5 miles/sec) * (2.6 * 10^6 seconds)
To multiply numbers in scientific notation, we need to multiply the coefficients and add the exponents:
Total distance = 1.9 * 2.6 * 10^5 * 10^6 miles
Simplifying this expression, we get:
Total distance = 4.94 * 10^11 miles
Therefore, light travels approximately 4.94 * 10^11 miles in a month.
To find out how many miles light travels in a month, we can multiply the speed of light by the number of seconds in a month.
First, let's write the given information in scientific notation:
Speed of light = 1.9 * 10^5 mi/sec
Number of seconds in a month = 2.6 * 10^6 sec
To find the total distance light travels in a month, we need to multiply these two values together:
(1.9 * 10^5 mi/sec) * (2.6 * 10^6 sec)
To multiply numbers in scientific notation, you multiply the coefficients (1.9 * 2.6) and add the exponents (10^5 * 10^6):
(1.9 * 2.6) * 10^(5 + 6) = 4.94 * 10^11
Therefore, light travels approximately 4.94 * 10^11 miles in a month.