Final answer:
The case of H.M. clearly demonstrates the distinction between declarative and procedural memories, showing that different memory types are stored and managed by different brain areas.
Step-by-step explanation:
The case of H.M. does indeed illustrate the difference between declarative and procedural memories. This statement is true. H.M. suffered from anterograde amnesia after surgery to remove his hippocampus and amygdala, which prevented him from forming new episodic or semantic memories - types of declarative memory. Despite this, H.M. was able to form new procedural memories, which are memories of motor skills and habits. For instance, though he could not recall working on a puzzle on previous days, he demonstrated improved performance over time. This important case highlights the fact that different types of memories are processed and stored in different parts of the brain.