Convert 90 inches to centimeters if 1 in = 2.54 cm.
The correct answer and explanation is:
To convert inches to centimeters, you use the conversion factor that 1 inch is equal to 2.54 centimeters. Therefore, to convert 90 inches to centimeters, you multiply 90 by 2.54.
Mathematically, this is represented as: 90 inches×2.54 cm/inch=228.6 cm90 \, \text{inches} \times 2.54 \, \text{cm/inch} = 228.6 \, \text{cm}
Thus, 90 inches is equal to 228.6 centimeters.
Explanation:
The process of converting units involves using a ratio or conversion factor. In this case, the conversion factor is based on the relationship between inches and centimeters. The factor of 2.54 cm per inch is a fixed value that has been determined through international standards.
This relationship is critical for converting measurements in different systems. The inch is part of the imperial system of measurement, which is still commonly used in some countries like the United States. The centimeter, on the other hand, is part of the metric system, which is used in most of the world.
To perform the conversion, you multiply the number of inches by the number of centimeters in each inch. This method works because the conversion factor expresses the number of centimeters in one inch.
For practical use, this kind of conversion is helpful in many areas such as construction, design, and travel, where measurements might need to be communicated between countries using different systems. In many scientific fields, the metric system is preferred because of its ease of use, especially when working with measurements that require high precision, such as in chemistry and physics.
In summary, to convert 90 inches to centimeters, simply multiply by 2.54, and you get 228.6 cm. This conversion ensures that measurements are accurate when switching between the imperial and metric systems.