The Olympic sport of gymnastics is judged with a point system. Nastia Liukin, an uneven bar champion scored a disappointing 16.725 in Bejing putting her in second place. Her opponent beat her by 0.001 of a point. The Bronze metal winner's score was a 14.975.
By how much did Nastia score over the Bronze medalist?
If we rounded up the scores could a winner be determined, or is the decimal necessary to distinguish Gold from Silver?