UOM Conversions Add 75kg to 2500g then convert the answer to pounds. Use 1kg = 2.2lbs Be sure to convert to all kilograms before adding. Answer to the nearest tenth of a pound. The weight in pounds is _.
UOM Conversions
Add 75kg to 2500g then convert the answer to pounds.ÂÂ
Use 1kg = 2.2lbs
Be sure to convert to all kilograms before adding. Answer to the nearest tenth of a pound.ÂÂ
The weight in pounds is _.
The Correct Answer and Explanation is :
To solve this unit of measurement (UOM) conversion problem, follow these steps:
Step 1: Convert all measurements to kilograms
The first part of the problem gives 75 kg, and the second part provides 2500 grams. Since the problem asks you to convert everything to kilograms before adding them, let’s start by converting the 2500 grams into kilograms.
- We know that 1 kilogram (kg) = 1000 grams (g), so:
[
\text{2500 grams} = \frac{2500}{1000} = 2.5 \text{ kg}
]
Step 2: Add the two weights in kilograms
Now that both quantities are in kilograms, we can add them together:
[
75 \text{ kg} + 2.5 \text{ kg} = 77.5 \text{ kg}
]
Step 3: Convert the total weight from kilograms to pounds
The next step is to convert the total weight of 77.5 kg into pounds. The problem states that 1 kilogram is equivalent to 2.2 pounds. So, we multiply the total weight in kilograms by the conversion factor:
[
77.5 \text{ kg} \times 2.2 \text{ lbs/kg} = 170.5 \text{ lbs}
]
Step 4: Round to the nearest tenth
The problem asks for the answer to be rounded to the nearest tenth of a pound. In this case, 170.5 pounds is already rounded to the nearest tenth.
Final Answer:
The total weight in pounds is 170.5 lbs.
Explanation:
In this problem, we followed a step-by-step process to ensure accurate conversions and proper rounding. The key here is first converting all measurements to the same unit (kilograms) before performing the addition. This simplifies the problem and avoids mistakes. After converting the final weight from kilograms to pounds, we then rounded to the nearest tenth as instructed. This is a common approach when dealing with measurements in different units and ensures precision in the final result.