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The mass of a sample is 550 milligrams. Which of the following expresses that mass in kilograms?
A
0.00055 kg
B
0.0055 kg
C
0.55 kg
D
0.055 kg
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1
Identify the given mass and its unit: 550 milligrams (mg).
Recall the conversion factors between units of mass: 1 kilogram (kg) = 1000 grams (g), and 1 gram = 1000 milligrams (mg).
Convert milligrams to grams by dividing the mass in milligrams by 1000: \(\text{mass in grams} = \frac{550}{1000}\) mg.
Convert grams to kilograms by dividing the mass in grams by 1000: \(\text{mass in kilograms} = \frac{\text{mass in grams}}{1000}\).
Combine the two steps into one conversion from milligrams to kilograms: \(\text{mass in kilograms} = \frac{550}{1000 \times 1000} = \frac{550}{1,000,000}\).