Question

Convert the following to the equivalent indicated. \(36.6 \mathrm{~cm}=\) _______ \(\mathrm{mm}\)

Short answer

36.6 cm is equivalent to 366 mm.

Step-by-step solution

Understanding the Conversion Relationship

First, determine the relationship between centimeters (cm) and millimeters (mm). There are 10 millimeters in 1 centimeter. Hence, to convert from centimeters to millimeters, you multiply by 10.

Applying the Conversion

Since 1 cm = 10 mm, to convert 36.6 cm into mm, multiply the number of centimeters by 10. Calculate the following: \[36.6 \text{ cm} \times 10 = 366 \text{ mm}\] Thus, 36.6 centimeters is equivalent to 366 millimeters.

Key concepts

Centimeters to Millimeters

Converting centimeters to millimeters is a straightforward process, thanks to the simple relationship between these two metric units. A centimeter is bigger than a millimeter. In fact, one centimeter is equivalent to 10 millimeters.

This means whenever you want to change a measurement from centimeters to millimeters, you merely need to multiply the number by 10.

For instance, in our exercise, we need to convert 36.6 centimeters into millimeters. By multiplying 36.6 by 10, you can easily find that it equals 366 millimeters.

This conversion is quick and handy because it helps you express the same length in a smaller unit without changing the actual size. Therefore, understanding this conversion process is quite useful while working with measurements in the metric system.

Metric System

The metric system is a decimal-based system of measurement used by most countries around the world. It is structured around powers of ten, which makes it exceptionally easy to understand and convert between different units.

In the metric system, lengths are measured using meters, centimeters, and millimeters, among others. The key aspect of the metric system is its consistency, allowing straightforward conversions. For example, there are 100 centimeters in a meter and 10 millimeters in a centimeter.

Using the metric system simplifies a lot of everyday mathematical operations and measurements. It’s valuable for scientific and everyday purposes, ensuring precision and ease whenever you need to quickly shift from one unit to another. Familiarizing yourself with the metric system can greatly facilitate learning about and solving mathematical problems involving measurements.

Mathematical Calculations

Mathematical calculations, especially when involving conversions, require some specific strategies to ensure accuracy. When converting measurements, like centimeters to millimeters, clear steps are necessary to eliminate errors.

For conversion:

• First, understand the conversion factor — the number of smaller units in one larger unit. In this case, that's 10 millimeters per centimeter.
• Second, execute the multiplication of the given number by the conversion factor. For example, multiply 36.6 cm by 10 to get 366 mm.
• Finally, always recheck your work. Double-checking calculations helps avoid errors and solidifies your understanding of mathematical conversions.

These calculations are not just limited to paper but also applicable in real-life scenarios like measuring ingredients while cooking or preparing a scientific project. Practicing these precise steps enhances both your calculation skills and confidence while handling various measurement conversions.