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Chapter 1: Problem 827

Convert the units. A ribbon is 18 inches long. Convert the length to feet.

Short Answer

Expert verified
The ribbon is 1.5 feet long.

Step by step solution

01

Understand the Relationship Between Inches and Feet

Know that 1 foot is equal to 12 inches. This relationship will be used to convert inches to feet.
02

Set Up the Conversion

Use the conversion factor to set up the equation. We have 18 inches and need to convert it to feet. Therefore, we set up the fraction: \( \frac{18 \text{ inches}}{1} \times \frac{1 \text{ foot}}{12 \text{ inches}} \).
03

Perform the Conversion Calculation

Cancel out the inches and perform the division: \[ 18 \text{ inches} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{18}{12} \text{ feet} = 1.5 \text{ feet} \].

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Key Concepts

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

length conversion
Length conversion involves changing the units in which the length is measured. Whether converting inches to feet or centimeters to meters, the idea is the same. You apply a conversion factor to translate the measurement.
This factor depends on the relationship between the units. For example, 1 foot is equal to 12 inches. Knowing the appropriate factor makes conversions straightforward.
It's essential for various real-world applications. For instance, you may need to convert measurements for construction projects, crafting, or even in daily life.
inches to feet
Converting inches to feet is a common length conversion. The key relationship you need to remember is: 1 foot equals 12 inches.
To convert inches to feet, you can use this simple process:
  • Identify how many inches you have.
  • Apply the conversion factor (inches to feet). You do this by dividing the number of inches by 12 since there are 12 inches in a foot.
For example, if you have 18 inches, you can find out how many feet it is by calculating: \( \frac{18}{12} = 1.5 \). So, 18 inches is equal to 1.5 feet.
basic arithmetic
To perform length conversions effectively, a basic understanding of arithmetic is crucial. Division, multiplication, addition, and subtraction are the main operations you'll use.
In our example, 18 inches was converted to feet by dividing by the number of inches in one foot, which is 12. The calculation looks like this: \( \frac{18}{12} = 1.5 \). Here, division is the key operation.
Knowing basic arithmetic ensures that you can follow conversion steps correctly, leading to accurate results. This skill transcends into almost every math-related challenge you might encounter.

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Most popular questions from this chapter

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