For this case, the first thing we must do is to have the same units for both measures.
We have then that by definition:
[tex]1m = 100cm[/tex]
Therefore we have:
[tex]10,000cm * (\frac {1m} {100cm}) = 100m[/tex]
Then, we look for the relationship between both measures:
[tex](\frac {100m} {1000m})[/tex]
Simplifying we have:
[tex](\frac {1m} {10m})[/tex]
Answer:
The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:
[tex](\frac {1m} {10m})[/tex]
