Question

Convert the following to the equivalent indicated. \(7.9 \mathrm{~cm}=\) _______ \(\mathrm{mm}\)

Short answer

7.9 cm is equal to 79 mm.

Step-by-step solution

Determine the Conversion Factor

First, identify and recall the conversion factor between centimeters (cm) and millimeters (mm). There are 10 millimeters in every centimeter. This means to convert from centimeters to millimeters, you need to multiply by 10.

Apply the Conversion Factor

Now that we have the conversion factor, apply it to the measurement given in centimeters. We have 7.9 cm and we need to convert this to millimeters. To do this, multiply 7.9 by the conversion factor of 10. The calculation is as follows: \[ 7.9 \text{ cm} \times 10 = 79 \text{ mm} \]

State the Result

The result of the conversion is 79 mm. Thus, 7.9 cm is equivalent to 79 mm.

Key concepts

Measurement Conversion

Measurement conversion is an essential skill, especially in mathematics education. It involves changing a measurement from one unit to another. This is often necessary because different situations require different units. Converting measurements helps us better understand and relate to real-world situations.

To convert units effectively, it's crucial to understand the relationship between the units involved. This includes knowing the conversion factor, which is the number you multiply by to switch from one unit to another. Converting measurements might seem daunting at first, but with practice, it becomes an easy and automatic process. Always take it step by step, work carefully, and double-check your calculations.

Metric System

The metric system is an internationally recognized system of measurement used around the world. It is based on the number 10, making conversions straightforward and easy to understand. The metric system includes units like meters, liters, and grams, which are used to measure length, volume, and weight, respectively.

A significant advantage of the metric system is its simplicity. Because it is a decimal system, you only need to multiply or divide by powers of ten when converting. This reduces errors and makes calculations quicker. For example, each unit step for length from millimeters to centimeters to meters involves a simple multiplication or division by 10 or 100. By learning and understanding these conversions, you'll be able to handle a wide range of mathematical and real-world problems with ease.

Centimeters to Millimeters

Converting centimeters to millimeters is a common task in mathematics. Since both centimeters and millimeters are part of the metric system, converting between them is quite easy. You should remember that there are 10 millimeters in one centimeter. This means that to convert centimeters to millimeters, you multiply the number of centimeters by 10.

For example, if you have a measurement of 7.9 cm and wish to convert it to millimeters, you simply multiply 7.9 by 10, giving you 79 mm. This process is reliable and quick, making it a handy skill in various fields like science, engineering, and daily life.

• 1 centimeter = 10 millimeters
• Multiply the centimeter value by 10 to get the equivalent in millimeters

By consistently applying this method, you'll become proficient in making such conversions without much hassle.

Mathematics Education

Mathematics education lays the foundation for understanding more complex concepts in science and engineering. It emphasizes the importance of being familiar with different mathematical concepts, such as unit conversion. Proficiency in topics like these enhances problem-solving skills and supports logical thinking.

Learning about conversions, such as that from centimeters to millimeters, allows students to apply mathematical principles in practical situations. It is a skill that is not only useful in academic settings but also invaluable in everyday life. Whether measuring ingredients for a recipe or analyzing scientific data, being able to convert measurements accurately can have a significant impact.

• Enhances problem-solving skills
• Provides practical applications
• Strengthens logical reasoning

Through diligent practice and engagement with exercises, students can build a strong mathematical foundation that serves them well in their educational journey and beyond.