Question

An infant's head circumference is \(40.6 \mathrm{~cm}\). How many millimeters is this? _______ \(\mathrm{mm}\)

Short answer

40.6 cm is 406 mm.

Step-by-step solution

Understanding the Units

To convert from centimeters to millimeters, we need to understand that 1 centimeter (cm) is equivalent to 10 millimeters (mm). This is a basic conversion factor.

Set Up the Conversion

Given the head circumference of 40.6 cm, we need to convert this measurement into millimeters. Since 1 cm equals 10 mm, the conversion factor is 10.

Perform the Conversion

Multiply the number of centimeters by the conversion factor to get the measurement in millimeters. This means we calculate:\[40.6 \, \text{cm} \times 10 \, \text{mm/cm} = 406 \, \text{mm}\]

Verify the Calculation

Double-check the multiplication to ensure accuracy. Multiply 40.6 by 10, which indeed equals 406. Thus, the calculation is correct.

Key concepts

Centimeters to Millimeters

Converting centimeters to millimeters is one of the simplest conversions in metric measurements. It's an essential skill in mathematics and everyday life. In the metric system, the relationship between centimeters and millimeters is straightforward. For every 1 centimeter, there are 10 millimeters. This means that to convert from centimeters to millimeters, you simply multiply the number of centimeters by 10.
For example, if you have a measurement of 40.6 centimeters and want to express it in millimeters, you would calculate:

• 40.6 cm \( \times \) 10 mm/cm = 406 mm

This conversion is crucial in many fields, including science, engineering, and healthcare, where precise measurements are paramount.

Measurement Conversion

Measurement conversion involves changing a measure from one unit to another. It's a fundamental concept not only in mathematics but also in various real-world applications. Understanding how to convert measurements ensures that we can interpret information correctly regardless of the unit used.
Here are some key tips to remember when performing measurement conversions:

• Always know the conversion factor, which is the number you multiply the original measurement by to get the new unit.
• Double-check conversions using the reverse operation to ensure accuracy.
• Practice makes perfect! The more you practice, the easier these conversions become.

By mastering measurement conversions, you empower yourself to tackle a wide range of mathematical problems and make accurate, informed decisions in everyday activities.

Mathematics Education

In mathematics education, unit conversion skills are fundamental, particularly for students. They form the foundation for understanding more complex topics in mathematics and science. Being comfortable with conversions allows students to solve problems more easily and with confidence.
Mathematics education emphasizes these abilities by:

• Incorporating real-life scenarios where conversions are essential.
• Providing exercises that challenge students to apply conversions logically.
• Encouraging group activities and discussions to enhance understanding.

Ultimately, understanding unit conversions is a step toward gaining proficiency in mathematics, which is invaluable for academic and professional success.

Basic Conversion Factors

Basic conversion factors are numerical values that relate one unit of measure to another. They are pivotal in converting measurements across the metric and imperial systems.
For centimeters to millimeters, the basic conversion factor is 10. This means for every 1 centimeter, we calculate the equivalent length in millimeters by multiplying by 10.

• Knowing your conversion factors simplifies math problems and minimizes calculation errors.
• Conversion factors are like the math bridges that make it easy to switch from one unit to another smoothly.
• Memorizing common conversion factors helps in both academic settings and practical, everyday calculations.

Being familiar with basic conversion factors enhances mathematical fluency, aiding in faster and more efficient problem-solving.