Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth.
The correct answer and explanation is:
To find the weight in pounds of a person who weighs 140 kilograms, you need to use the conversion factor:
1 kilogram = 2.20462 pounds
Step-by-Step Calculation:
140 kg×2.20462 lbkg=308.6468 lb140 \, \text{kg} \times 2.20462 \, \frac{\text{lb}}{\text{kg}} = 308.6468 \, \text{lb}
Final Answer (Rounded to the Nearest Hundredth):
308.65 pounds\boxed{308.65 \, \text{pounds}}
300-Word Explanation:
Converting between metric units (like kilograms) and imperial units (like pounds) is a common task, especially in countries like the United States where the imperial system is used in daily life. The kilogram (kg) is the base unit of mass in the International System of Units (SI), while the pound (lb) is commonly used in the United States to measure body weight, food, and other items.
To perform the conversion from kilograms to pounds, we use the fixed conversion factor:
1 kilogram = 2.20462 pounds.
In this case, we’re asked to convert 140 kilograms to pounds. By multiplying 140 by 2.20462, we calculate the equivalent weight in pounds: 140×2.20462=308.6468140 \times 2.20462 = 308.6468
Since the question asks for the result rounded to the nearest hundredth, we look at the third decimal digit (6). Because it is 5 or more, we round the second decimal digit (4) up to 5. So, the properly rounded answer is 308.65 pounds.
This conversion is particularly useful in health, fitness, and international travel contexts. Doctors, nutritionists, and fitness professionals often need to convert between these units, especially when working with data or clients from different parts of the world. Understanding how to accurately convert and round results helps ensure clear communication and proper data use across systems.