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Chapter 8: Problem 2

Complete. \(12 \mathrm{in.}=\) _______\(\mathrm{cm}\) (The length of a common ruler)

Short Answer

Expert verified
12 inches = 30.48 cm

Step by step solution

01

Understand the Conversion Factor

In order to convert inches to centimeters, use the conversion factor: 1 inch = 2.54 cm.
02

Set Up the Conversion

To convert 12 inches to centimeters, set up the equation using the conversion factor: 12 inches * 2.54 cm/inch.
03

Perform the Multiplication

Multiply 12 by 2.54.12 * 2.54 = 30.48.
04

Write the Final Answer

Thus, 12 inches is equal to 30.48 centimeters.

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Key Concepts

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

inches to centimeters
Converting from inches to centimeters is a common task in many areas, including schoolwork, home improvement, and even day-to-day activities. Understanding this conversion is crucial because different countries use different measurement systems. The United States primarily uses the inch for length measurements, while many other countries use the centimeter.

One inch is defined as 2.54 centimeters. This is a fixed value and does not change. When you need to convert inches to centimeters, you will always use this number.

For instance, if you have a 12-inch ruler and you want to find out its length in centimeters, you need to apply this conversion factor.
conversion factor
A conversion factor is a numerical ratio used to express a measurement in one unit as another unit. In our case, the conversion factor between inches and centimeters is 2.54 because 1 inch equals 2.54 centimeters.

Conversion factors help make conversions simple and accurate. By using the conversion factor, you can multiply any length in inches by 2.54 to get the length in centimeters.

This process is straightforward and always reliable. Remember that the conversion factor between inches and centimeters is always 2.54. This means that no matter what length you have in inches, you can always convert it to centimeters by multiplying by 2.54.
multiplication for unit conversion
To convert inches to centimeters, you need to use multiplication. Multiplication helps you scale the measurement from one unit to another using the conversion factor you have.

Let's break it down with our example: Convert 12 inches to centimeters. Start with the conversion factor: 1 inch equals 2.54 centimeters. Multiply the number of inches by the conversion factor to find the equivalent length in centimeters.

So, for 12 inches:
  • First, write down the conversion setup: 12 inches * 2.54 cm/inch.
  • Next, perform the multiplication: 12 * 2.54 = 30.48.
  • Finally, you get the result: 30.48 centimeters.
Thus, multiplying the length in inches by 2.54 gives you the corresponding length in centimeters. This method ensures accurate and quick conversions every time.

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