If I inch is equal to 2.54 centimeters, 7 inches is how many centimeters? A 16.84 centimeters B 17.78 centimeters C 16.32 centimeters D 17.56 centimeters
The Correct Answer and Explanation is:
To convert inches to centimeters, use the standard conversion factor:
1 inch = 2.54 centimeters
To find out how many centimeters are in 7 inches, multiply the number of inches by 2.54:7 inches×2.54 cm/inch=17.78 centimeters7 \text{ inches} \times 2.54 \text{ cm/inch} = 17.78 \text{ centimeters}7 inches×2.54 cm/inch=17.78 centimeters
Correct Answer: B. 17.78 centimeters
Explanation:
Measurement conversions are essential in both mathematics and everyday life. One commonly used conversion is between inches and centimeters. An inch is a unit of length used in the United States customary and British imperial systems. A centimeter, on the other hand, is a unit of length in the metric system, which is used internationally. Knowing how to convert between these two units is especially important in science, engineering, and global communication.
The metric system is based on powers of 10, making conversions simple and consistent. The exact relationship between inches and centimeters is:1 inch=2.54 centimeters1 \text{ inch} = 2.54 \text{ centimeters}1 inch=2.54 centimeters
This is a fixed, defined value and does not change.
To convert a measurement from inches to centimeters, multiply the number of inches by 2.54. For example, if a book is 7 inches long, multiply:7×2.54=17.78 cm7 \times 2.54 = 17.78 \text{ cm}7×2.54=17.78 cm
This tells us the book is 17.78 centimeters long. This method ensures accurate conversions every time. Understanding and applying this process is fundamental when working across different measurement systems, particularly in contexts like international manufacturing, science labs, or global travel.
So, when asked to convert 7 inches to centimeters, the correct value is 17.78 centimeters, which corresponds to Option B.
