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Chapter 9: Problem 53

Complete. \(28 \mathrm{ft}=\) _______ in.

Short Answer

Expert verified
336 inches

Step by step solution

01

- Identify the Conversion Factor

The first step is to determine the conversion factor between feet and inches. We know from general conversions that there are 12 inches in 1 foot.
02

- Set Up the Conversion Equation

We can set up the conversion equation by multiplying the number of feet by the conversion factor. In this case, we need to convert 28 feet to inches. The equation is \(\text{inches} = 28 \text{ ft} \times 12 \frac{\text{in}}{\text{ft}}\).
03

- Perform the Calculation

Now, perform the multiplication: \(28 \text{ ft} \times 12 \frac{\text{in}}{\text{ft}} = 336 \text{ in}\).
04

- Write the Answer

After completing the calculation, we find that 28 feet is equal to 336 inches.

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Key Concepts

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

Conversion Factor
A conversion factor is a ratio used to transform a quantity from one unit to another. It expresses how many of one unit equals another unit.
In our exercise, the conversion factor between feet and inches is important.
The standard conversion factor here is: \(1 \text{ foot (ft)} = 12 \text{ inches (in)}\)
This means every single foot measures exactly 12 inches.
Using conversion factors ensures accurate and consistent results, vital in mathematics.
Feet to Inches
Understanding how to convert feet to inches is a useful skill.
It's simply about multiplying the number of feet by the conversion factor.
Let's see how this works in our exercise:
We have 28 feet, and we know that 1 foot equals 12 inches.
We set up our equation: \[ \text{inches} = 28 \text{ ft} \times 12 \frac{\text{in}}{\text{ft}} \]
By multiplying, we convert feet directly to inches.
This visualizes our units changing seamlessly.
So, when converting any number of feet, remember the factor of 12.
Multiplication in Conversions
Multiplying is often a core method when dealing with unit conversions.
In our problem, after establishing the conversion factor (12 inches per foot), we multiply it by the given number of feet.
Here鈥檚 the detailed multiplication setup to reinforce the process:
\[ 28 \text{ ft} \times 12 = 28 \times 12 = 336 \text{ in} \]
Each step confirms our understanding and ensures accuracy.
Repeating these steps for similar problems solidifies the learning process.
Remember, multiplication in conversions is about maintaining relationships between units, ensuring every calculation respects this proportionality.

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