
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
After learning the multiplication of rational numbers, the teacher gave the students a question: Calculate $49\frac{24}{25} \times (-5)$, and see who can calculate it quickly and correctly. Two students' solutions are as follows:  
Xiao Ming: Original expression $=-\frac{1249}{25} \times 5 = -\frac{1249}{5} = -249\frac{4}{5}$;  
Xiao Jun: Original expression $=(49+\frac{24}{25}) \times (-5) = 49 \times (-5) + \frac{24}{25} \times (-5) = -249\frac{4}{5}$;  
$(1)$ In the above two solutions, which solution do you think is better?  
$(2)$ What inspiration does the above solution give you? Do you think there is a better method? If so, please write it out;  
$(3)$ Calculate using the method you think is most appropriate: $19\frac{15}{16} \times (-8)$.

Present the answer in LaTex format: \boxed{Your answer}
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