QuestionMay 1, 2025

Light travels 9.45cdot 10^15 meters in a year.There are about 3.15cdot 10^7 seconds in a year How far does light travel per second? Write your answer in scientific notation. square meters

Light travels 9.45cdot 10^15 meters in a year.There are about 3.15cdot 10^7 seconds in a year How far does light travel per second? Write your answer in scientific notation. square meters
Light travels 9.45cdot 10^15 meters in a year.There are about 3.15cdot 10^7
seconds in a year
How far does light travel per second?
Write your answer in scientific notation.
square  meters

Solution
3.7(285 votes)

Answer

\(3 \cdot 10^8\) meters Explanation 1. Identify the given values Light travels 9.45 \cdot 10^{15} meters in a year, and there are 3.15 \cdot 10^{7} seconds in a year. 2. Calculate distance per second Divide the total distance by the total time to find the distance light travels per second: **Distance per second = \(\frac{9.45 \cdot 10^{15}}{3.15 \cdot 10^{7}}\)** 3. Simplify the expression Perform the division: \(\frac{9.45}{3.15} = 3\) Subtract the exponents: \(10^{15 - 7} = 10^8\)

Explanation

1. Identify the given values<br /> Light travels $9.45 \cdot 10^{15}$ meters in a year, and there are $3.15 \cdot 10^{7}$ seconds in a year.<br /><br />2. Calculate distance per second<br /> Divide the total distance by the total time to find the distance light travels per second: <br /> **Distance per second = \(\frac{9.45 \cdot 10^{15}}{3.15 \cdot 10^{7}}\)**<br /><br />3. Simplify the expression<br /> Perform the division:<br /> \(\frac{9.45}{3.15} = 3\)<br /> Subtract the exponents: \(10^{15 - 7} = 10^8\)
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