tentatively
In a careful, unsure way, like you are testing something.
Tentatively means doing something in an uncertain, cautious, or hesitant way because you're not completely sure about it yet. When you raise your hand tentatively in class, you're lifting it slowly and carefully, maybe because you think you know the answer but aren't totally confident. When someone tentatively suggests a plan, they're proposing it in a way that shows they're open to other ideas.
The word comes from the way you act when you're testing something out or feeling your way forward. A cat might step tentatively onto a frozen pond, placing each paw carefully to see if the ice will hold. A shy student might tentatively approach a new group at lunch, not barging in but seeing if they'll be welcomed.
Notice that tentatively doesn't mean fearfully or weakly. It means proceeding thoughtfully when you don't have all the information yet. Scientists often speak tentatively about new discoveries because they want more evidence before making bold claims. When you try a new food tentatively, taking just a small bite first, you're being sensible, not scared. The word describes the careful, exploratory way we move forward when we're still figuring things out.