
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
Jo adds up all the positive integers from 1 to 100. Alex does a similar thing with the first 100 positive integers; however, he first rounds every integer to its nearest multiple of 20 (rounding 10s up) and then adds the 100 values. What is the positive difference between Jo's sum and Alex's sum?

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