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Chapter 1: Problem 825

Convert the units. A park bench is 6 feet long. Convert the length to inches.

Short Answer

Expert verified
72 inches.

Step by step solution

01

- Understand conversion factor

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

- Set up the conversion

Multiply the length in feet by the conversion factor: \(6 \text{ feet} \times 12 \text{ inches/foot}\).
03

- Calculate the result

Perform the multiplication: \(6 \times 12 = 72\).
04

- State the final answer

The length of the bench is 72 inches.

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Key Concepts

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

length conversion
Length conversion is the process of converting a measurement from one unit to another. Understanding how to convert units is an essential skill in everyday life. Let's focus on converting feet to inches, which involves changing the measurement from one unit of length to another.
When we say a park bench is 6 feet long, we can also express this length in inches. We know that 1 foot equals 12 inches, which is our conversion factor. So, to convert feet to inches, we multiply the number of feet by 12. This step allows us to move between different units of length easily.
measurement units
Measurement units are standardized quantities used to express size, length, volume, weight, and other physical properties. Common units for length include inches, feet, meters, and centimeters.
To work with measurement units effectively, know the relationships between them. For example:
  • 1 foot = 12 inches
  • 1 yard = 3 feet
  • 1 meter = 100 centimeters
We use these relationships to convert between units. In our exercise, we convert 6 feet into inches. Understanding which units to use in different contexts helps in science, engineering, and everyday measurements.
multiplication
Multiplication is a fundamental arithmetic operation used frequently in unit conversion. In our exercise, we use multiplication to convert feet to inches. Here is a simple breakdown:
Step 1: Identify the conversion factor. For feet to inches, it is 12 because 1 foot = 12 inches.
Step 2: Multiply the length in the original unit by the conversion factor. So, we multiply 6 feet by 12 inches per foot.
Step 3: Perform the calculation: \[6 \text{ feet} \times 12 \text{ inches/foot} = 72 \text{ inches}\]
Using multiplication in this way helps switch between different units of measure accurately.

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