accurately
In a way that is completely correct and without mistakes.
Accurately means doing something in a way that is correct, precise, and free from mistakes or errors. When you measure something accurately, you get the exact right amount. When you answer a question accurately, you give the correct information without getting any details wrong.
Think about throwing darts at a target. If your darts land right in the bullseye, you're throwing accurately. If they scatter all over the wall, you're not. The same idea applies everywhere: A clock that shows the right time is running accurately. A news reporter who checks their facts and reports only what really happened is reporting accurately.
Accuracy matters more in some situations than others. When you're drawing a silly picture for fun, accuracy doesn't matter much. But when a pharmacist measures medicine, when a pilot lands a plane, or when you're following a recipe, accuracy becomes crucial. Even a small mistake can cause big problems.
When you work accurately, you pay attention to details and double-check your work. It's related to the noun accuracy, which means the quality of being correct and precise. Someone might say “I can't vouch for the accuracy of that story” if they're not sure whether all the details are true.