
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
If the value of the expression \(\frac{1}{1 \times 2} -\frac{1}{3 \times 4} +\frac{1}{5 \times 6} -\frac{1}{7 \times 8} +\cdots +\frac{1}{2007 \times 2008}\) is converted to a decimal, what is the first digit after the decimal point?

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