Convert the following. Round to nearest hundredth.
82 kg to lb]
The Correct Answer and Explanation is :
To convert 82 kilograms (kg) to pounds (lb), we use the standard conversion factor:
1 kilogram = 2.20462 pounds.
Calculation:
To convert 82 kg to pounds:
[
82 \, \text{kg} \times 2.20462 \, \frac{\text{lb}}{\text{kg}} = 180.779 \, \text{lb}
]
Rounding this to the nearest hundredth:
[
180.779 \, \text{lb} \approx 180.78 \, \text{lb}
]
Explanation:
The metric system, which uses kilograms, and the imperial system, which uses pounds, are two different measurement systems commonly used for weight and mass. In many countries, including most of Europe, the metric system is the standard for weight measurement, and kilograms are typically used. However, in the United States, the imperial system is used, where weight is commonly measured in pounds.
To convert between kilograms and pounds, we use a conversion factor based on the relationship between the two units. The standard conversion factor is 1 kg = 2.20462 lb. This conversion factor allows us to accurately convert a given weight in kilograms to pounds. When doing such a conversion, it’s important to ensure that the correct number of significant digits is used, as well as rounding to the appropriate decimal places.
In this case, we first multiplied 82 kilograms by the conversion factor, which gave us 180.779 pounds. Since the instruction is to round to the nearest hundredth, we look at the third decimal place (which is 9 in this case). According to rounding rules, since the third decimal is greater than or equal to 5, we round the second decimal place (7) up to 8. Thus, the final result is 180.78 pounds.
This process is essential when working in fields that involve international measurements, such as healthcare, science, or engineering, as it ensures accuracy when dealing with weight conversions across different systems.