
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
Calculate the value for each of the following expressions:  
(Ⅰ) $|1+\log_{10}0.001|+ \sqrt {\log_{10}^{2} \frac {1}{3}-4\log_{10}3+4}+\log_{10}6-\log_{10}0.02$.  
(Ⅱ) $(- \frac {27}{8})^{- \frac {2}{3}}+0.002^{- \frac {1}{2}}-10( \sqrt {5}-2)^{-1}+(2- \sqrt {3})^{0}$.

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