Question:

If one mile is equal to 5,280 feet, how many feet are 100 miles equal to in scientific notation?

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To convert a number to scientific notation, place the decimal point after the first non-zero digit and adjust the exponent accordingly.
Updated On: Sep 30, 2025
  • \( 528 \times 10^3 \)
  • \( 5280 \times 10^2 \)
  • 528,000
  • \( 528 \times 10^6 \)
  • \( 5.28 \times 10^5 \)
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The Correct Option is

Solution and Explanation

Step 1: Multiply the number of miles by the number of feet in one mile. \[ 100 \text{ miles} = 100 \times 5280 \text{ feet} = 528000 \text{ feet}. \]
Step 2: Express in scientific notation. \[ 528000 = 5.28 \times 10^5. \]
Step 3: Conclusion. The number of feet in 100 miles is \( 5.28 \times 10^5 \), corresponding to option (E).
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