Metric Conversions
1. The problem is to complete unit conversion tables for Mass, Capacity, and Length.
2. Understand the metric system prefixes: kilo- = 1000, hecto- = 100, deka- = 10, deci- = 0.1, centi- = 0.01, milli- = 0.001.
### Measures of Mass
- 1 kilogram (kg) = 1000 grams (g)
- 1 hectogram (hg) = 100 grams
- 1 dekagram (dag) = 10 grams
- 1 gram (g) = 1 gram
- 1 decigram (dg) = 0.1 grams
### Measures of Capacity
- 1 kiloliter (kL) = 1000 liters (L)
- 1 hectoliter (hL) = 100 liters
- 1 centiliter (cL) = 0.01 liters
- 1 milliliter (mL) = 0.001 liters
### Measures of Length
- 1 kilometer (km) = 1000 meters (m)
- 1 hectometer (hm) = 100 meters
- 1 dekameter (dam) = 10 meters
- 1 decimeter (dm) = 0.1 meters
This completes the table of conversions by associating each prefix with its multiplier relative to the base unit (gram for mass, liter for capacity, meter for length).
Final answer: The conversion factors in the table are consistent with the metric prefixes: 1 hg = 100 g, 1 dag = 10 g, 1 kg = 1000 g, 1 dg = 0.1 g, 1 kL = 1000 L, 1 hL = 100 L, 1 cL = 0.01 L, 1 mL = 0.001 L, 1 km = 1000 m, 1 hm = 100 m, 1 dam = 10 m, 1 dm = 0.1 m.