Final answer:
The lower bound of the number rounded to 2 decimal places is 45.54, and the upper bound is 45.56.
Step-by-step explanation:
To find the lower and upper bounds of a number when it is rounded to 2 decimal places, we need to consider the two possible values that round down and round up from the given number.
In this case, the number is 45.55.
The lower bound is the number rounded down.
When we round down 45.55 to 2 decimal places, we get 45.54.
The upper bound is the number rounded up.
When we round up 45.55 to 2 decimal places, we get 45.56.