Yes, but this bit:
Written out fully, old method:
[(10*1.1 + 10)*1.1 + 10]*1.1 + … ten times, gives you 175.311…
New method (as you described):
(10 *1.1) + (10 *1.1) + (10 *1.1) + … OR
(10 + 10 + 10 + …)*1.1
ten times, gives you 110, as expected.
Edit:
I think this still makes sense.
The old method, as above.
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