Convert the following weights in kilograms to pounds (round to the nearest tenth of a pound). 77.3 kg = _______________ lb 7 kg = _______________ lb 4.5 kg = _______________ lb
The Correct Answer and Explanation is:
To convert kilograms (kg) to pounds (lb), we use the conversion factor:
1 kilogram (kg) = 2.20462 pounds (lb).
Given this, the formula for converting kilograms to pounds is:
[
\text{Weight in pounds (lb)} = \text{Weight in kilograms (kg)} \times 2.20462
]
Now, let’s convert the provided weights:
1. 77.3 kg to pounds:
[
77.3 \, \text{kg} \times 2.20462 = 170.9 \, \text{lb}
]
So, 77.3 kg is approximately 170.9 lb.
2. 7 kg to pounds:
[
7 \, \text{kg} \times 2.20462 = 15.4 \, \text{lb}
]
So, 7 kg is approximately 15.4 lb.
3. 4.5 kg to pounds:
[
4.5 \, \text{kg} \times 2.20462 = 9.9 \, \text{lb}
]
So, 4.5 kg is approximately 9.9 lb.
Explanation of Conversion Process:
To convert kilograms to pounds, you multiply the given weight in kilograms by the conversion factor (2.20462). The conversion factor is based on the international standard that 1 kg equals approximately 2.20462 pounds.
In each case, the weight in kilograms is multiplied by this factor:
- For 77.3 kg, multiplying by 2.20462 gives 170.9 lb.
- For 7 kg, multiplying by 2.20462 gives 15.4 lb.
- For 4.5 kg, multiplying by 2.20462 gives 9.9 lb.
After performing the multiplication, we round the results to the nearest tenth of a pound. This rounding is necessary when the problem specifies rounding to the nearest tenth.
The importance of this conversion is especially relevant in fields like health care, where weight is often measured in kilograms in many parts of the world, but pounds are still commonly used in countries like the United States. Understanding how to convert between these units allows for better communication and accuracy when dealing with weight measurements in different systems.