Math Problem Statement

Express a time period of exactly 6 day in terms of seconds. Try to write out all the equalities needed to solve this problem. Answer in units of s.

Solution

To express a time period of exactly 6 days in terms of seconds, we need to convert days into hours, then hours into minutes, and finally minutes into seconds.

Step 1: Convert days to hours

1day=24hours1 \, \text{day} = 24 \, \text{hours} 6days=6×24hours=144hours6 \, \text{days} = 6 \times 24 \, \text{hours} = 144 \, \text{hours}

Step 2: Convert hours to minutes

1hour=60minutes1 \, \text{hour} = 60 \, \text{minutes} 144hours=144×60minutes=8640minutes144 \, \text{hours} = 144 \times 60 \, \text{minutes} = 8640 \, \text{minutes}

Step 3: Convert minutes to seconds

1minute=60seconds1 \, \text{minute} = 60 \, \text{seconds} 8640minutes=8640×60seconds=518400seconds8640 \, \text{minutes} = 8640 \times 60 \, \text{seconds} = 518400 \, \text{seconds}

Final Answer:

6days=518400seconds6 \, \text{days} = 518400 \, \text{seconds}

Would you like more details or have any questions?

Here are five related questions you might find interesting:

  1. How would you convert a week (7 days) into seconds?
  2. What is the process to convert hours into milliseconds?
  3. How many seconds are there in a month with 30 days?
  4. How would you calculate the number of seconds in a year (365 days)?
  5. How can you express a time period of 3.5 days in seconds?

Tip: When converting units, always ensure each step's conversion factor is correct, as small errors can lead to significant discrepancies in your final answer.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Time Measurement

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8