Convert 8.7 kg to pounds and ounces.
Conversion ratios:
1 lb = 16 oz
1 kg = 2.2 lb
Round the ounces to the nearest hundredth.
A 18 lb 4.16 oz
B 19 lb 14 oz
C 3 lb 15.37 oz
D 19 lb 2.24 oz
The Correct Answer and Explanation is:
To convert 8.7 kg to pounds and ounces, we start with the conversion factors provided:
- Convert kilograms to pounds:
The conversion ratio states that 1 kg = 2.2 lb. Thus, to convert 8.7 kg to pounds, we can multiply by the conversion factor:
[
8.7 \, \text{kg} \times 2.2 \, \text{lb/kg} = 19.14 \, \text{lb}
] - Separate the pounds and the fractional part:
The whole number part of 19.14 lb represents the pounds, which is 19 lb. To find the ounces, we take the decimal part (0.14 lb) and convert it to ounces using the conversion factor (1 lb = 16 oz):
[
0.14 \, \text{lb} \times 16 \, \text{oz/lb} = 2.24 \, \text{oz}
] - Combine the results:
Therefore, 8.7 kg is equivalent to 19 lb and 2.24 oz when rounded to the nearest hundredth.
Final Answer:
The correct answer is D: 19 lb 2.24 oz.
Explanation:
Understanding unit conversions is essential in fields such as nursing, cooking, and any scientific field where measurements are frequently interchanged. In this scenario, we needed to convert a weight measurement from kilograms to pounds and ounces. The process involved applying the appropriate conversion factors accurately.
First, by converting kilograms to pounds, we utilized the conversion factor of 2.2, which is a standard measure for this conversion. Next, the fractional pound value was converted into ounces, maintaining precision through the use of the conversion of 1 lb = 16 oz.
Moreover, rounding the ounces to the nearest hundredth is important for clarity and precision in reporting measurements. This practice can prevent confusion in fields where accuracy is critical, such as pharmacology, where dosages can be dependent on precise weight measurements.
In summary, the conversion of 8.7 kg yielded a weight of 19 lb 2.24 oz, showcasing the step-by-step approach to accurately transitioning between different weight units.