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Chapter 1: Problem 3

Use the fact that \(I\) foot \(=12\) inches. Convert 6.25 feet to a measure in inches.

Short Answer

Expert verified
6.25 feet is equal to 75 inches.

Step by step solution

01

Understand the Conversion Factor

The problem asks us to convert feet into inches. We know that 1 foot is equal to 12 inches. Keep this conversion factor in mind as it will help us solve the problem.
02

Multiply to Convert Feet to Inches

To convert feet to inches, we multiply the number of feet by the conversion factor. For 6.25 feet, we use the equation: \[ 6.25 \text{ feet} \times 12 \text{ inches/foot} = 75 \text{ inches}. \]
03

Verify the Calculation

Ensure the calculation is correct by checking the multiplication. Multiply 6.25 by 12 using straightforward arithmetic or a calculator: 6.25 times 12 equals 75. Thus, the conversion is accurately performed.

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Key Concepts

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

Conversion Factor
When dealing with unit conversion, understanding the conversion factor is key. A conversion factor is essentially a relationship between two units. It shows how many of one unit are equal to another unit. In our exercise, the conversion factor is that 1 foot equals 12 inches. This means that for every foot, there are 12 inches. Recognizing this relationship allows us to transform measurements from one unit to another. It's crucial to clearly identify the correct conversion factor before proceeding with calculations. This ensures accuracy when working through unit conversions.
Arithmetic Calculation
Converting units often involves arithmetic calculations. In the given problem, we need to convert feet to inches using multiplication. The basic arithmetic step here is to multiply the given number of feet by the conversion factor, which is 12 inches per foot. For instance, with 6.25 feet, we perform the calculation:
  • Multiply 6.25 by 12 to convert feet into inches.
In mathematical terms: \[ 6.25 \text{ feet} \times 12 \text{ inches/foot} = 75 \text{ inches} \]This calculation is the bridge that takes us from one unit to another. Double-check the multiplication to ensure that the result is accurate, especially when working without a calculator.
Measurement Units
Measurement units are integral to understanding quantities. They allow us to specify the size, length, or quantity of an object or distance with clarity. In this exercise, we're working with feet and inches. Feet and inches are both units of length commonly used in the United States.
  • 1 foot is divided into 12 inches.
  • This division helps in transforming larger units (feet) into something smaller and more precise (inches).
Understanding these measurement units is essential, as it informs how we use conversion factors to switch from one unit to another accurately. Always be mindful of the units you're using to ensure you're making the correct conversion and that your measurements remain consistent and comprehensible.

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