Final answer:
The mass of a quart equal to 5.63g is converted to 0.00563 kilograms (kg) by dividing by 1000, and to 5630 milligrams (mg) by multiplying by 1000.
Step-by-step explanation:
To convert the mass of a quart from grams to kilograms and milligrams, we need to understand the relationship between these units. Since a gram is 1/1000th of a kilogram, to convert grams to kilograms, you divide the number of grams by 1000. Similarly, since a milligram is 1/1000th of a gram, to convert grams to milligrams, you multiply the number of grams by 1000.
Given the mass of a quart is 5.63g, the mass in kilograms would be 5.63g ÷ 1000 = 0.00563 kg. The mass in milligrams would be 5.63g × 1000 = 5630 mg. Therefore, the correct answer is option (a): 0.00563 kg, 5630 mg.