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Chapter 8: Problem 12

444 hr = ______days

Short Answer

Expert verified
18.5 days

Step by step solution

01

Title - Understand the problem

The problem requires converting hours into days. Knowing the relationship between hours and days is key: 1 day = 24 hours.
02

Title - Set up the conversion ratio

Use the relationship 1 day = 24 hours as a conversion factor. To convert hours to days, divide the number of hours by 24.
03

Title - Perform the calculation

Divide 444 hours by 24 to find the number of days: \[ 444 \text{ hours} \times \frac{1 \text{ day}}{24 \text{ hours}} = \frac{444}{24} \text{ days} \]Calculate the division: \[ \frac{444}{24} = 18.5 \text{ days} \]

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Key Concepts

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

hours to days conversion
Converting time from hours to days is a common task that鈥檚 quite simple if you know the basic relationship: 1 day equals 24 hours. To move from hours to days, you need to divide the number of hours by 24.
In our example problem, we have 444 hours. Using the conversion relationship:
  • We divide 444 by 24.
  • This step gives us the answer of 18.5 days.
This step-by-step process is crucial. It helps break down the problem and makes it easier to understand.
division
Division is a mathematical operation where you split a number into equal parts. When converting hours to days, you essentially split the total number of hours into groups of 24 (since there are 24 hours in a day).
In our example, we divide 444 by 24.
Here's how you do it:
  • First, set up the division as \[\frac{444}{24}\].
  • Perform the division to get the quotient, which represents the number of days.
  • In this case, \[\frac{444}{24} = 18.5\].
This means that 444 hours is the same as 18.5 days. Understanding division is key for unit conversions like this one.
unit conversion
Unit conversion is the process of converting a quantity from one unit to another. In this exercise, we convert from hours (a smaller unit of time) to days (a larger unit of time).
Here are the key steps for unit conversion:
  • Identify the relationship between the units. For hours to days, it's 1 day = 24 hours.
  • Set up a conversion factor that relates the two units. For example, \[\frac{1 \text{ day}}{24 \text{ hours}}\].
  • Multiply your quantity by this conversion factor. This will allow units of hours to cancel out, and you'll be left with the equivalent value in days.
In our specific problem, we used the conversion factor to change 444 hours into 18.5 days.
This concept is essential in many fields including science, engineering, and daily life.

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