Round $54.\overline{54}$ to the nearest hundredth.
To round $54.\overline{54}$ to the nearest hundredth, we must look at the hundreds and the thousands digits of the number in question. We write it as \[54.\overline{54} = 54.5454\overline{54}.\]Since the thousands digit ($5$) is greater than or equal to $5$, the hundreds digit $4$ rounds up to $5$. Therefore, $54.\overline{54}$ rounded to the nearest hundredth is equal to $\boxed{54.55}$.
54.55
Level 4
Prealgebra
Problem: Round $54.\overline{54}$ to the nearest hundredth.
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To round a number to the nearest hundredth, identify the digit in the hundredths place and the digit immediately to its right. The number $54.\overline{54}$ represents a repeating decimal, which can be expressed as $54.545454...$. The digit in the hundredths place is $4$, and the digit to the right, in the thousandths place, is $5$. According to rounding rules, if the digit in the thousandths place is $5$ or greater, round up the digit in the hundredths place by $1$. Since $5$ meets this criterion, increase the $4$ in the hundredths place to $5$. Therefore, the rounded value of $54.\overline{54}$ to the nearest hundredth is $54.55$.<|END_OF_LATENT|> The final answer is $54.55$.