Which of the following weights is equivalent to 3.193 kilograms?
A.
3,193,000 grams
B.
3,193 grams
C.
319.3 grams
D.
0.003193 grams
The Correct answer and Explanation is:
The correct answer is B. 3,193 grams.
To understand why this is the correct choice, it’s essential to grasp the relationship between kilograms and grams. The metric system, which is widely used in scientific and everyday contexts, is based on powers of ten, making conversions straightforward. Specifically, one kilogram (kg) is equal to 1,000 grams (g).
When you have a weight in kilograms and want to convert it to grams, you multiply the number of kilograms by 1,000. In this case, you have 3.193 kilograms. To convert this to grams, you perform the following calculation:3.193 kg×1,000 g/kg=3,193 g3.193 \, \text{kg} \times 1,000 \, \text{g/kg} = 3,193 \, \text{g} 3.193kg×1,000g/kg=3,193g
This calculation shows that 3.193 kilograms is indeed equivalent to 3,193 grams.
Now, let’s evaluate the other options:
- A. 3,193,000 grams: This option incorrectly suggests that 3.193 kg is equal to 3,193,000 g. This would be true if it were 3,193 kg, not 3.193 kg. This is a common error when dealing with decimal points.
- C. 319.3 grams: This option is incorrect as it would imply that 3.193 kg is equivalent to 0.3193 kg (or 319.3 g), which is a significant underestimation.
- D. 0.003193 grams: This option is dramatically lower than the actual conversion. It suggests that 3.193 kg equals only a fraction of a gram, which is incorrect.
In summary, option B, 3,193 grams, accurately represents the conversion from 3.193 kilograms, illustrating how to correctly manipulate metric units within the kilogram-gram relationship. Understanding this conversion is crucial in fields such as nursing, science, and any discipline that involves weight measurements.