What 2 decimals with thousandths that would give 0.2 when rounded to the nearest tenth and 0.20 when rounded to the nearest hundredth?

Well, darling, the decimals you're looking for are 0.199 and 0.201. When rounded to the nearest tenth, both of these bad boys give you 0.2. And when rounded to the nearest hundredth, one becomes 0.20 while the other stays at 0.20. Ta-da!