To round 13.5 to the nearest hundredth, we need to look at the number in the hundredths place and the digit immediately to its right.
The number 13.5 can be represented as 13.50 when we consider the hundredths place. Here, the digit in the hundredths place is ‘0’, and the digit to the right is ‘5’. Since the digit ‘5’ is equal to or greater than 5, we round up the hundredths place by 1.
Therefore, the ‘0’ in the hundredths place becomes ‘1’, and we get 13.51. So, 13.5 rounded to the nearest hundredth is 13.51.