Math Problem Statement

Convert 2.36 x 104 s to days. 24 hr = 1 day 60 sec = 1 minute 60 min = 1 hr

Solution

To convert 2.36×1042.36 \times 10^4 seconds into days, we will follow these steps:

Step 1: Convert seconds to minutes

Since 60seconds=1minute60 \, \text{seconds} = 1 \, \text{minute}, we divide by 60: 2.36×104seconds60=23600seconds60=393.33minutes\frac{2.36 \times 10^4 \, \text{seconds}}{60} = \frac{23600 \, \text{seconds}}{60} = 393.33 \, \text{minutes}

Step 2: Convert minutes to hours

Since 60minutes=1hour60 \, \text{minutes} = 1 \, \text{hour}, we divide by 60 again: 393.33minutes60=6.5555hours\frac{393.33 \, \text{minutes}}{60} = 6.5555 \, \text{hours}

Step 3: Convert hours to days

Since 24hours=1day24 \, \text{hours} = 1 \, \text{day}, we divide by 24: 6.5555hours24=0.273days\frac{6.5555 \, \text{hours}}{24} = 0.273 \, \text{days}

Final Answer:

2.36×104seconds=0.273days2.36 \times 10^4 \, \text{seconds} = 0.273 \, \text{days}

Would you like further details or have any questions?

Here are five related questions for practice:

  1. Convert 3.5 hours to seconds.
  2. How many minutes are there in 2 days?
  3. Convert 5000 seconds to hours.
  4. How many seconds are there in 1.5 days?
  5. Convert 10 hours to seconds.

Tip: Always pay attention to units when converting; it helps avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Time Calculation
Scientific Notation

Formulas

1 minute = 60 seconds
1 hour = 60 minutes
1 day = 24 hours

Theorems

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Suitable Grade Level

Grades 6-8