To determine which conversion requires division, we need to analyze each option based on the metric prefixes, which represent different powers of ten:
-
Kilograms to Centigrams:
- 1 kilogram (kg) = 1,000 grams (g).
- 1 gram (g) = 100 centigrams (cg).
- Therefore, 1 kg = 1,000 g = 100,000 cg.
- This conversion involves moving from a larger unit (kg) to a smaller unit (cg), which requires multiplication since we are increasing the number of units.
-
Decimeters to Millimeters:
- 1 decimeter (dm) = 10 centimeters (cm).
- 1 centimeter (cm) = 10 millimeters (mm).
- Therefore, 1 dm = 10 cm = 100 mm.
- This also involves moving from a larger unit (dm) to a smaller unit (mm), requiring multiplication as well.
-
Hectometers to Decimeters:
- 1 hectometer (hm) = 100 meters (m).
- 1 meter (m) = 10 decimeters (dm).
- Therefore, 1 hm = 100 m = 1,000 dm.
- This conversion involves moving from a larger unit (hm) to a smaller unit (dm), requiring multiplication.
-
Decigrams to Dekagrams:
- 1 decigram (dg) = 0.1 grams (g).
- 1 dekagram (dag) = 10 grams (g).
- Therefore, to convert from a smaller unit (dg) to a larger unit (dag), you will end up dividing (since 1 dg = 0.1 g, and you need to know how many dg are in 1 dag).
Among the options provided, the conversion that requires division is decigrams to dekagrams.
4 answers