Question

Convert the following to the equivalent indicated. 18 in \(=\) _______ \(\mathrm{cm}\)

Short answer

18 inches is equivalent to 45.72 cm.

Step-by-step solution

Use Conversion Factor

To convert inches to centimeters, we use the conversion factor 1 inch = 2.54 centimeters.

Set Up the Equation

Multiply the given measurement in inches by the conversion factor to get the equivalent measurement in centimeters. The equation is: \[18 \text{ in} \times 2.54 \text{ cm/in}\]

Perform the Multiplication

Calculate the multiplication: \[18 \times 2.54 = 45.72\]

Write the Final Answer

The equivalent measurement in centimeters is 45.72 cm.

Key concepts

Measurement Conversion

Measurement conversion is a critical skill in both everyday life and academic studies. It involves changing a measurement from one unit to another, in order to make it more useful or understandable in different contexts. In the given exercise, we converted inches to centimeters. This process allows us to communicate measurements in a way that suits diverse measurement systems, such as the metric system in scientific studies.

Key points to remember about measurement conversion include:

• The units you're starting with and the units you want to convert to.
• The conversion factor, which is a number that expresses the relationship between two units.
• Being consistent with units throughout the conversion process to avoid errors.

By understanding these principles, you can confidently tackle any conversion task and ensure precision in your calculations.

Conversion Factor

The conversion factor is a building block of measurement conversion. It is a ratio or fraction that represents the relationship between two units of measurement, allowing you to switch units systematically. In the provided solution, the conversion factor used is 1 inch = 2.54 centimeters. This means that for every inch, there are 2.54 centimeters.

Here's how to effectively use a conversion factor:

• Identify the unit you are converting from and the unit you are converting to.
• Locate or calculate the conversion factor, which matches these units.
• Multiply the original measurement by this conversion factor to get the desired value in the new unit.

Remember, the conversion factor provides the mathematical relationship needed to transition from one unit to another accurately. Being familiar with common conversion factors can save time and reduce mistakes in calculations.

Mathematics Education

Mathematics education is about more than just numbers; it's about developing practical skills that can be applied in real-world situations. Understanding unit conversions is a great example of this application, as it combines logical thinking, problem-solving, and the interpretation of data.

When teaching or learning mathematics, especially concepts such as measurement conversion:

• Encourage a strong grasp of the fundamental units and their interrelationships.
• Incorporate numerous examples to ensure learners can see the process repeatedly and in varied contexts.
• Utilize visual aids and interactive tools to enrich the understanding of more abstract mathematical ideas.

By focusing on these strategies, mathematics education can be both comprehensive and engaging, helping students develop the skills needed to handle quantitative tasks with confidence and ease.