No problem, let's work through this together. We're starting with 5005 and 4034 and adding them all up.

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 0 & 3 in column 2 and get 3.

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

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

So, 5005 + 4034 = 9039.

