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Chapter 8: Problem 30

Complete. 480 in. =_______ ft

Short Answer

Expert verified
480 inches equals 40 feet.

Step by step solution

01

Understand the Conversion Factor

Know the conversion factor between inches and feet. There are 12 inches in 1 foot.
02

Set Up the Conversion

To convert inches to feet, divide the number of inches by 12. The formula to use is: \( \text{feet} = \frac{\text{inches}}{12} \)
03

Perform the Division

Divide 480 inches by 12. \( \text{feet} = \frac{480}{12} = 40 \)
04

Provide the Answer

The result of the division is the number of feet. Therefore, 480 inches is equal to 40 feet.

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Key Concepts

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

Inches to Feet
Understanding unit conversion from inches to feet is essential in many real-world scenarios, whether you're measuring height, length, or distance. One foot is defined as 12 inches. Therefore, to convert inches to feet, you need to divide the number of inches by 12. For instance, if you have 480 inches and want to convert them to feet, this process becomes straightforward with the right guidance. Let's delve into the step-by-step method to make this conversion as clear as possible.
Conversion Factor
A conversion factor is a number used to change one set of units to another by multiplying or dividing. For inches to feet, the conversion factor is 12, because there are 12 inches in a foot.

  • If you're converting inches to feet, you will divide by this factor.
  • Conversely, if you鈥檙e converting feet to inches, you would multiply by 12.
Knowing this factor makes unit conversions seamless and prevents errors. It's like having a key that opens the door to understanding and solving measurement conversion problems.
Division
Division is a basic arithmetic operation where you are essentially splitting a quantity into equal parts. In the context of converting inches to feet, you divide the number of inches by 12, because there are 12 inches in one foot.

For example:
Given 480 inches, you perform the following calculation:
\(\frac{480}{12} = 40\)
This shows that 480 inches is equivalent to 40 feet. By understanding this simple division, you can easily convert any measurement in inches to feet.

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