The antonyms for the phrase "more approximately" are "precisely," "accurately," "exactly," "definitely," and "clearly." These words denote a high level of certainty and leave little room for interpretation or error. When we use the phrase "more approximately," we imply that our estimate or approximation is not entirely accurate or definitive. In contrast, when we use the antonyms of "more approximately," we suggest that what we're saying is not open to debate, and we're certain of our facts. The use of exact and precise language is essential in many fields, such as science, mathematics, and law, where the smallest discrepancy can have enormous implications.