
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
In the class there are around 40 students; in the hall approximately one thousand five hundred people; an item costs about one hundred rubles; a printed page contains approximately 40,000 characters. What does "approximately" mean in each of these cases? Explain the concept of absolute and relative error in relation to these examples.

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