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22. Light travels at 186,282 miles per second. Based on a 365 -dayyear̃, how many miles will light travel in one year? Express your answer in scientific notation to the nearest thousandth.

Ask by Daniels Reid. in the United States
Mar 20,2025

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Light travels approximately \(5.875 \times 10^{12}\) miles in one year.

Solución

1. Determine the number of seconds in one year. Given a 365‑day year: \[ \text{Seconds per year} = 365 \times 24 \times 3600 = 31\,536\,000 \text{ seconds} \] 2. Use the formula for distance: \[ \text{Distance} = \text{Speed} \times \text{Time} \] With the speed of light \(186\,282\) miles per second, we have: \[ \text{Distance} = 186\,282 \times 31\,536\,000 \] 3. Compute the product: \[ 186\,282 \times 31\,536\,000 \approx 5.874589152 \times 10^{12} \text{ miles} \] 4. Express the answer in scientific notation to the nearest thousandth: \[ 5.875 \times 10^{12} \text{ miles} \]

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The Deep Dive

In one year, light travels an astonishing distance! To calculate this, first recognize that there are 86,400 seconds in a day (24 hours x 60 minutes x 60 seconds) and 365 days in a year. So, light travels approximately 31,536,000 seconds in a year. Multiplying that by 186,282 miles per second gives you about 5,878,625,373,183.6 miles! In scientific notation, this is approximately 5.878 x 10¹² miles. Fun fact: The distance light travels in a year is called a "light-year." This unit is commonly used in astronomy to measure vast distances between celestial objects. When you hear that a star is a certain number of light-years away, just know that it's really far – like, mind-blowingly far!

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