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Chapter 8: Problem 31

Complete. 360 in. =______ ft

Short Answer

Expert verified
30 feet

Step by step solution

01

Understand the Conversion Factor

Know that there are 12 inches in a foot. This means the conversion factor from inches to feet is 12.
02

Set Up the Equation

To convert inches to feet, divide the number of inches by the conversion factor (12).
03

Perform the Calculation

Divide 360 inches by 12: \[ \frac{360 \text{ inches}}{12 \frac{\text{inches}}{\text{foot}}} = 30 \text{ feet} \]

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Key Concepts

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

inches to feet
When converting from inches to feet, it's important to know the basic relationship between these units. There are 12 inches in one foot. This means that to go from inches to feet, you need to divide the number of inches by 12. For example, if you have 360 inches and want to find out how many feet that is, you need to do a simple division. This relationship helps us make sense of measurements and easily switch between them.
Understanding this is crucial because you will frequently encounter situations where measurements are given in different units, and knowing how to convert between them makes life much easier.
conversion factor
The conversion factor is a number used to change one set of units to another, by multiplying or dividing. In our exercise, the conversion factor helps us go from inches to feet. Specifically, 12 inches equal 1 foot, so the conversion factor is 12. To use it:
  • If you are converting from a smaller unit to a larger unit (inches to feet), you divide.
  • If you are going from a larger unit to a smaller unit (feet to inches), you multiply.
Conversion factors are handy and knowing how to use them correctly means you can switch between units without getting confused. Just remember to use the right operation (multiplying or dividing) based on the units you are converting between.
division in mathematics
Division is one of the four basic operations in arithmetic. It is the process of splitting a number into equal parts. When you are converting from inches to feet, you use division. Here鈥檚 a quick exercise to see how it works:
1. Start with the total number of inches, for example, 360 inches.
2. Since there are 12 inches in a foot, you set up the division equation: 360 divided by 12.
3. Perform the division: \(\frac{360}{12} = 30\)
In this way, you can see that 360 inches equal 30 feet. Division helps you to break down larger units into smaller, more manageable ones, making it easier to understand and work with different scales.

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