Final answer:
Conversions between metric and apothecary units are not equivalent. The metric system uses a decimal-based system, while the apothecary system uses non-decimal units.
Step-by-step explanation:
The statement is false. Conversions between metric and apothecary units are not equivalent. The metric system uses a decimal-based system, which makes conversions between metric units simple and straightforward. For example, you can convert from centimeters to meters by moving the decimal point two places to the left. However, the apothecary system is an older system that uses non-decimal units, such as drams and grains. Conversions between apothecary units require specific conversion factors that are not based on a decimal system.