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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1 answer

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.