If 1 kg = 2.2046 Ib, how many pounds equal 5.0 kilograms?
The Correct Answer and Explanation is:
To find out how many pounds are equal to 5.0 kilograms, you can use the given conversion factor:
1 kilogram (kg) = 2.2046 pounds (lb).
Step 1: Identify the conversion factor.
The conversion factor tells us that 1 kg is equivalent to 2.2046 lb. So, to convert kilograms to pounds, we multiply the number of kilograms by 2.2046.
Step 2: Set up the equation.
To convert 5.0 kilograms to pounds, multiply the number of kilograms by the conversion factor:
[
\text{Pounds} = 5.0 \, \text{kg} \times 2.2046 \, \frac{\text{lb}}{\text{kg}}
]
Step 3: Perform the calculation.
[
\text{Pounds} = 5.0 \times 2.2046 = 11.023 \, \text{lb}
]
Step 4: Round the answer.
Since the problem specifies 5.0 kg (with one decimal place), the result should also be rounded to one decimal place. Thus:
[
11.023 \, \text{lb} \approx 11.0 \, \text{lb}
]
Final Answer:
Therefore, 5.0 kilograms is equal to 11.0 pounds.
Explanation:
The conversion from kilograms to pounds involves multiplying by a conversion factor because these two units of weight are based on different measurement systems. The kilogram is part of the metric system, while the pound is used in the imperial system. By using the given factor of 2.2046 lb per kilogram, we can easily switch between these units. The multiplication ensures that the result reflects the proportional difference between the two systems, ensuring accuracy in converting between metric and imperial measurements. The rounding ensures that the result matches the precision indicated in the original measurement (5.0 kg).