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Chapter 8: Problem 10

Complete. 18,000 sec = ________hr

Short Answer

Expert verified
5 hours.

Step by step solution

01

Understand the Conversion Factor

Know that 1 hour is equal to 3600 seconds. This is because there are 60 minutes in an hour and 60 seconds in a minute, so 60 * 60 = 3600 seconds in one hour.
02

Set Up the Division

To convert 18,000 seconds into hours, divide the total number of seconds by the number of seconds per hour. This can be written as \ \ \[ \frac{18,000}{3,600} \]
03

Perform the Division

Carry out the division: \ \ \[ \frac{18,000}{3,600} = 5 \]
04

Interpret the Result

The result from the division tells us that 18,000 seconds is equal to 5 hours.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

seconds to hours conversion
When we need to convert seconds into hours, it's crucial to understand the relationship between these two units of time. We know there are 60 seconds in a minute, and 60 minutes in an hour. Therefore, we multiply these together to find out how many seconds are in an hour: \[ 60 \times 60 = 3600 \] seconds per hour. By knowing this conversion factor, we can easily convert any given number of seconds into hours.
division method
The main approach to converting seconds into hours involves a simple division. This method centers around the conversion factor we previously identified. For example, to find out how many hours are in 18,000 seconds, we set up a division where 18,000 is divided by 3,600. This can be written as: \[ \frac{18,000}{3,600} = 5 \] hours. Here, the numerator (18,000 seconds) is the total time in seconds you want to convert, and the denominator (3,600 seconds) is the number of seconds in one hour. Performing this division will give us the answer directly in hours.
conversion factor
Understanding and using conversion factors is essential in time conversions. A conversion factor is a ratio that expresses how many of one unit are equal to another unit. In our case, the conversion factor between seconds and hours is 3,600 seconds = 1 hour. This allows us to convert a quantity from seconds into hours easily.To apply this conversion factor, we use division as we discussed earlier. For instance, to convert 18,000 seconds to hours, we divide by the conversion factor: \[ \frac{18,000}{3600} = 5 \] So, 18,000 seconds are equal to 5 hours. Remember, you need to always use correct conversion factors to ensure accuracy in your calculations.

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