A Cook Has A 28 Lb Bag Of Potatoes. Which One Of The Following Metric Weights Is Nearest To 28 Lb?A. 14 Kg B. 28 Kg C. 42 Kg D. 56 Kg
Understanding the Problem
In this problem, we are given a cook with a 28 lb bag of potatoes and asked to determine which of the provided metric weights is nearest to 28 lb. To solve this problem, we need to understand the relationship between pounds and kilograms.
The Relationship Between Pounds and Kilograms
1 pound (lb) is equal to 0.453592 kilograms (kg). This is a fundamental conversion factor that we will use to solve the problem.
Converting 28 lb to Kilograms
To convert 28 lb to kilograms, we multiply 28 by the conversion factor:
28 lb × 0.453592 kg/lb = 12.700656 kg
Rounding to the Nearest Kilogram
Since we are looking for the nearest metric weight, we round the result to the nearest whole number:
12.700656 kg ≈ 13 kg
Comparing the Options
Now that we have converted 28 lb to kilograms, we can compare the options:
A. 14 kg B. 28 kg C. 42 kg D. 56 kg
The Nearest Metric Weight
Based on our calculation, the nearest metric weight to 28 lb is 13 kg. However, this option is not available. The closest option is 14 kg, which is still a reasonable approximation.
Conclusion
In conclusion, the nearest metric weight to 28 lb is 14 kg. This problem demonstrates the importance of understanding conversion factors and rounding to the nearest whole number when working with different units of measurement.
Additional Tips and Considerations
- When converting between units of measurement, it's essential to understand the conversion factors and how to apply them.
- Rounding to the nearest whole number can help simplify calculations and provide a more accurate approximation.
- In this problem, we used a conversion factor to convert pounds to kilograms. In other cases, you may need to use different conversion factors or formulas to achieve the desired result.
Real-World Applications
Understanding conversion factors and how to apply them is crucial in various real-world applications, such as:
- Cooking and recipe development
- Science and laboratory work
- International trade and commerce
- Travel and navigation
By mastering conversion factors and rounding techniques, you can become more confident and proficient in working with different units of measurement.
Common Conversion Factors
Here are some common conversion factors that you may find useful:
- 1 pound (lb) = 0.453592 kilograms (kg)
- 1 kilogram (kg) = 2.20462 pounds (lb)
- 1 inch (in) = 2.54 centimeters (cm)
- 1 foot (ft) = 30.48 centimeters (cm)
- 1 mile (mi) = 1609.34 meters (m)
Practice Problems
Try converting the following weights from pounds to kilograms:
- 10 lb
- 20 lb
- 50 lb
Q: What is the relationship between pounds and kilograms?
A: 1 pound (lb) is equal to 0.453592 kilograms (kg). This is a fundamental conversion factor that we use to convert between pounds and kilograms.
Q: How do I convert pounds to kilograms?
A: To convert pounds to kilograms, you multiply the number of pounds by the conversion factor (0.453592 kg/lb). For example, to convert 28 lb to kilograms, you would multiply 28 by 0.453592.
Q: How do I convert kilograms to pounds?
A: To convert kilograms to pounds, you multiply the number of kilograms by the conversion factor (2.20462 lb/kg). For example, to convert 12 kg to pounds, you would multiply 12 by 2.20462.
Q: What is the nearest metric weight to 28 lb?
A: Based on our calculation, the nearest metric weight to 28 lb is 13 kg. However, this option is not available. The closest option is 14 kg, which is still a reasonable approximation.
Q: Why is it important to understand conversion factors?
A: Understanding conversion factors is crucial in various real-world applications, such as cooking, science, international trade, and travel. By mastering conversion factors, you can become more confident and proficient in working with different units of measurement.
Q: What are some common conversion factors that I should know?
A: Here are some common conversion factors that you may find useful:
- 1 pound (lb) = 0.453592 kilograms (kg)
- 1 kilogram (kg) = 2.20462 pounds (lb)
- 1 inch (in) = 2.54 centimeters (cm)
- 1 foot (ft) = 30.48 centimeters (cm)
- 1 mile (mi) = 1609.34 meters (m)
Q: How do I round numbers to the nearest whole number?
A: To round a number to the nearest whole number, you look at the decimal part of the number. If the decimal part is less than 0.5, you round down to the nearest whole number. If the decimal part is 0.5 or greater, you round up to the nearest whole number.
Q: What are some real-world applications of converting between units of weight?
A: Understanding conversion factors and how to apply them is crucial in various real-world applications, such as:
- Cooking and recipe development
- Science and laboratory work
- International trade and commerce
- Travel and navigation
Q: How can I practice converting between units of weight?
A: Try converting the following weights from pounds to kilograms:
- 10 lb
- 20 lb
- 50 lb
Use the conversion factor to calculate the equivalent weight in kilograms and round to the nearest whole number.
Q: What are some common mistakes to avoid when converting between units of weight?
A: Here are some common mistakes to avoid when converting between units of weight:
- Not using the correct conversion factor
- Not rounding numbers to the nearest whole number
- Not double-checking calculations for accuracy
Q: How can I improve my skills in converting between units of weight?
A: To improve your skills in converting between units of weight, practice regularly and review common conversion factors. You can also try using online conversion tools or calculators to help you with calculations.