Math Problem Statement

Fully convert 9120 seconds into hours and minutes.

Solution

To convert 9120 seconds into hours and minutes:

  1. Convert seconds to hours:
    There are 3600 seconds in an hour. Divide 9120 by 3600:
    Hours=91203600=2hours (with a remainder).\text{Hours} = \frac{9120}{3600} = 2 \, \text{hours (with a remainder)}.

  2. Find the remainder in seconds:
    9120(2×3600)=91207200=1920seconds.9120 - (2 \times 3600) = 9120 - 7200 = 1920 \, \text{seconds}.

  3. Convert the remainder to minutes:
    There are 60 seconds in a minute. Divide 1920 by 60:
    Minutes=192060=32minutes.\text{Minutes} = \frac{1920}{60} = 32 \, \text{minutes}.

Final Answer:

9120 seconds = 2 hours and 32 minutes.

Would you like a detailed explanation or have any questions?


Here are 5 related questions to deepen your understanding:

  1. How would you convert 1,000,000 seconds into days, hours, and minutes?
  2. How many seconds are there in a day, and how is this value derived?
  3. If you subtract 1 hour and 15 minutes from 9120 seconds, what is the result in seconds?
  4. Can you express 9120 seconds as a fraction of a day?
  5. How would you convert seconds into decimal hours instead of hours and minutes?

Tip: Always break conversions into smaller steps (e.g., hours → minutes → seconds) to avoid confusion!

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Math Problem Analysis

Mathematical Concepts

Time Conversion
Division and Remainders

Formulas

Hours = Total Seconds ÷ 3600
Remaining Seconds = Total Seconds - (Hours × 3600)
Minutes = Remaining Seconds ÷ 60

Theorems

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Suitable Grade Level

Grades 5-8