The correct answer is option 'A' - neatly.

Explanation:
Writing one's name neatly means to write it in a clear, organized, and easily readable manner. It is important for students to write their names neatly on their homework pages for several reasons:

1. Identification: Writing one's name neatly ensures that the teacher can easily identify who the homework belongs to. If the name is written messily or illegibly, it may be difficult for the teacher to match the homework with the correct student.

2. Organization: Neatly written names help in maintaining the organization of homework assignments. When names are written clearly, it becomes easier for the teacher to sort and file the assignments correctly. This saves time and prevents the loss of any assignments.

3. Professionalism: Neat handwriting is a sign of professionalism and care. It shows that the student takes pride in their work and is committed to producing quality assignments. Writing one's name neatly reflects this attention to detail and can leave a positive impression on the teacher.

4. Communication: Writing one's name neatly also helps in effective communication. If a student's name is written messily, it may be misread or misunderstood. This could lead to confusion or delays in providing feedback or grading the assignment.

5. Personal Accountability: Writing one's name neatly on their homework page allows students to take ownership and responsibility for their work. It signifies that they are proud of their efforts and are willing to stand by their work.

In conclusion, writing one's name neatly on their homework page is important for identification, organization, professionalism, effective communication, and personal accountability. It is a simple yet significant task that should be practiced by students to ensure the smooth functioning of the classroom and to present their work in the best possible way.