Math Problem Statement

Convert 11232 seconds into hours, minutes, and seconds.

Solution

The question in the image is asking to convert 11232 seconds into hours, minutes, and seconds.

Solution:

  1. Convert to Hours:

    • 1hour=3600seconds1 \, \text{hour} = 3600 \, \text{seconds}
    • Hours=112323600=3hours\text{Hours} = \left\lfloor \frac{11232}{3600} \right\rfloor = 3 \, \text{hours}
    • Remaining seconds: 11232(3×3600)=432seconds11232 - (3 \times 3600) = 432 \, \text{seconds}
  2. Convert to Minutes:

    • 1minute=60seconds1 \, \text{minute} = 60 \, \text{seconds}
    • Minutes=43260=7minutes\text{Minutes} = \left\lfloor \frac{432}{60} \right\rfloor = 7 \, \text{minutes}
    • Remaining seconds: 432(7×60)=12seconds432 - (7 \times 60) = 12 \, \text{seconds}
  3. Final Result:

    • 11232seconds=3hours,7minutes,12seconds11232 \, \text{seconds} = 3 \, \text{hours}, 7 \, \text{minutes}, 12 \, \text{seconds}

Let me know if you would like further clarification or a detailed breakdown!

Here are 5 related questions to expand your understanding:

  1. How do you convert hours and minutes back into total seconds?
  2. How many seconds are there in 24 hours?
  3. Can you express 11232 seconds in decimal hours (e.g., 3.2 hours)?
  4. What is the formula to convert seconds to days, hours, minutes, and seconds?
  5. How would this conversion differ if the input were milliseconds?

Tip: Always break down time conversions into manageable steps (hours → minutes → seconds

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Math Problem Analysis

Mathematical Concepts

Time Conversion
Division and Modulus Operations

Formulas

1 hour = 3600 seconds
1 minute = 60 seconds
Hours = floor(Total Seconds / 3600)
Remaining Seconds = Total Seconds - (Hours × 3600)
Minutes = floor(Remaining Seconds / 60)
Seconds = Remaining Seconds - (Minutes × 60)

Theorems

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Suitable Grade Level

Grades 6-8