How many feet are equal to 25.51 dm?
The correct answer and explanation is:
To convert 25.51 decimeters (dm) into feet, we need to use the conversion factor between decimeters and feet.
1 foot is equal to 30.48 centimeters, and 1 decimeter (dm) is equal to 10 centimeters. Therefore, 1 foot is equivalent to 3.048 decimeters.
To convert from decimeters to feet, divide the number of decimeters by 3.048.
Here is the calculation: 25.51 dm÷3.048 dm/ft=8.36 ft25.51 \, \text{dm} \div 3.048 \, \text{dm/ft} = 8.36 \, \text{ft}
Thus, 25.51 decimeters is equal to approximately 8.36 feet.
Explanation:
In metric conversions, it’s important to know the basic units and their relationships. We used the fact that 1 foot equals 3.048 decimeters to perform the conversion. When converting from a smaller unit (decimeters) to a larger unit (feet), you divide by the number of smaller units per larger unit.
The conversion factor of 3.048 decimeters per foot comes from the relationship between centimeters and feet, as 1 foot is defined as 30.48 centimeters, and there are 10 centimeters in a decimeter. Using this factor ensures accurate conversions between these units of length.
This process can be applied to any similar problem where you need to convert between metric and imperial units. The key is always using the correct conversion factor, which reflects the proportional relationship between the units. This allows for a seamless transition from one measurement system to another while maintaining the precision required for accurate calculations.