Let's solve this addition problem. We have 4545 and 5004, and we need to add them together.

Step 1: We'll start by adding the digits 5 & 4 in column 1 and get 9.

Step 2: We'll start by adding the digits 4 & 0 in column 2 and get 4.

Step 3: We'll start by adding the digits 5 & 0 in column 3 and get 5.

Step 4: We'll start by adding the digits 4 & 5 in column 4 and get 9.

So, 4545 + 5004 = 9549.

