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Chapter 1: Problem 828

Convert the units. Carson is 45 inches tall. Convert his height to feet.

Short Answer

Expert verified
Carson is 3.75 feet tall.

Step by step solution

01

Understand the Conversion Factor

To convert inches to feet, use the conversion factor that 1 foot is equal to 12 inches.
02

Set Up the Calculation

Write down the height in inches (45 inches) and the conversion factor (1 foot = 12 inches).
03

Perform the Division

Divide Carson's height in inches by the number of inches in a foot. Calculate: \( \frac{45 \text{ inches}}{12 \text{ inches per foot}} = 3.75 \text{ feet} \)

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Key Concepts

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

inches to feet
To convert inches to feet, you need to understand how these units relate to each other. In the imperial system, one foot equals twelve inches. This relationship is crucial for making conversions correctly. Understanding this helps you navigate between the two units with ease. For example, when you know that 1 foot equals 12 inches, you can use this information to change measurements from inches into feet or vice versa. Always start by identifying the measurement you have and the unit you want to convert to.
division
Division is at the heart of converting inches to feet. When you divide a measurement in inches by the number of inches per foot, you effectively convert it into feet. Think of it this way: if you have 45 inches and you know that 12 inches equal one foot, you can divide 45 by 12 to find out how many feet it is. This division gives you a more understandable and useful measurement. The formula for this kind of conversion is simple: \(\frac{\text{inches}}{12}\) = feet. Make sure you set up your calculation clearly to avoid any errors.
conversion factor
A conversion factor is a number you use to change one set of units to another by multiplying or dividing. In this case, the conversion factor is 12 because there are 12 inches in a foot. The equation you'll use is \(\text{inches measurement} \div 12 = \text{feet measurement}\). When dealing with unit conversions, always keep this factor in mind. Write it down so you remember that it's a key part of the calculation. Always verify your conversion factor to ensure accuracy.

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