I created a dataframe column with the below code, and was trying to figure out how to round it down to the nearest 100th.
...
# This prints out my new value rounded to the nearest whole number.    
df['new_values'] = (10000/df['old_values']).apply(numpy.floor)
# How do I get it to round down to the nearest 100th instead?
# i.e. 8450 rounded to 8400
                You need divide by 100, convert to int and last multiple by 100:
df['new_values'] = (df['old_values'] / 100).astype(int) *100
Same as:
df['new_values'] = (df['old_values'] / 100).apply(np.floor).astype(int) *100
Sample:
df = pd.DataFrame({'old_values':[8450, 8470, 343, 573, 34543, 23999]})
df['new_values'] = (df['old_values'] / 100).astype(int) *100
print (df)
   old_values  new_values
0        8450        8400
1        8470        8400
2         343         300
3         573         500
4       34543       34500
5       23999       23900
EDIT:
df = pd.DataFrame({'old_values':[3, 6, 89, 573, 34, 23]})
#show output of first divide for verifying output
df['new_values1'] = (10000/df['old_values'])
df['new_values'] = (10000/df['old_values']).div(100).astype(int).mul(100)
print (df)
   old_values  new_values1  new_values
0           3  3333.333333        3300
1           6  1666.666667        1600
2          89   112.359551         100
3         573    17.452007           0
4          34   294.117647         200
5          23   434.782609         400
                        Borrowing @jezrael's sample dataframe
df = pd.DataFrame({'old_values':[8450, 8470, 343, 573, 34543, 23999]})
Use floordiv or //
df // 100 * 100
   old_values
0        8400
1        8400
2         300
3         500
4       34500
5       23900
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