If 2.54 cm = 1 in, convert 25.6 m to inches
The correct answer and explanation is:
To convert 25.6 meters to inches, follow these steps:
- Convert meters to centimeters:
Since 1 meter equals 100 centimeters, multiply 25.6 meters by 100 to convert to centimeters. 25.6 m×100=2560 cm25.6 \, \text{m} \times 100 = 2560 \, \text{cm} - Convert centimeters to inches:
We know that 2.54 centimeters equals 1 inch. To convert 2560 centimeters to inches, divide by 2.54. 2560 cm÷2.54=1007.87 in2560 \, \text{cm} \div 2.54 = 1007.87 \, \text{in}
Thus, 25.6 meters equals approximately 1007.87 inches.
Explanation:
The conversion between metric units requires knowing the equivalences between the units involved. In this case, the relationship between centimeters and inches is key to converting meters to inches. First, we convert the meters to centimeters since the relationship between centimeters and inches is well-known. By applying these conversion factors, the process becomes straightforward.
The conversion factor of 2.54 cm per inch ensures the accuracy of the result when moving from centimeters to inches. The final result, 1007.87 inches, is a precise value based on this conversion. Understanding the metric system and unit conversions is essential in a wide variety of contexts, from scientific measurements to everyday use.