Final answer:
The child's understanding of the teaching is demonstrated by their statement about the importance of a balanced diet.
Step-by-step explanation:
The correct statement that indicates an understanding of the teaching for a newly diagnosed child with type 1 DM is: "I need to eat a balanced diet with a focus on carbohydrates, proteins, and fats."
This statement shows that the child understands the importance of a balanced diet in managing their condition. It implies that the child is aware of the role of different nutrients in controlling blood sugar levels and maintaining overall health.