Answer:
To convert the weight of the diamond from milligrams to hectograms, we need to know the conversion factor between these units.
1 hectogram (hg) is equal to 100 grams (g), and 1 gram (g) is equal to 1,000 milligrams (mg).
Therefore, the conversion factor from milligrams to hectograms is:
1 hg = 100 g = 100 × 1,000 mg = 100,000 mg
To find the weight of the diamond in hectograms, we can divide the weight in milligrams by the conversion factor:
Weight in hectograms = (Weight in milligrams) / (Conversion factor)
Weight in hectograms = 3,000 mg / 100,000 mg/hg
Weight in hectograms = 0.03 hg
Therefore, the diamond weighs 0.03 hectograms.