Final answer:
The conversion that requires division is decigrams to dekagrams. Option D.
Step-by-step explanation:
When converting between metric units, the conversion factor can be found using a conversion table. Here is a conversion table for some common metric units:
| Unit | Abbreviation | Factor |
| Kilograms | kg | 1 |
| Hectograms | hg | 100 |
| Decagrams | dag | 10 |
| Decigrams | dg | 0.1 |
| Grams | g | 0.001 |
| Milligrams | mg | 0.000 1 |
| Micrograms | µg | 0.000 001 |
To convert between these units, we need to use the conversion factor from the table. For example, to convert decigrams to decagrams, we need to divide by 10:
decigrams = decagrams * 10 (conversion factor)
This means that to convert from decigrams to dekagrams (which is the same as converting from decagrams to kilograms), we need to divide by 10 again:
decigrams = dekagrams * 10 * 10 (conversion factor)
So, the conversion that requires division is decigrams to dekagrams (or equivalently, decagrams to kilograms).