Okay, we are given 2234 and 3044. Let's add them up step by step.

Step 1: We'll start by adding the digits 4 & 4 in column 1 and get 8.

Step 2: We'll start by adding the digits 3 & 4 in column 2 and get 7.

Step 3: We'll start by adding the digits 2 & 0 in column 3 and get 2.

Step 4: We'll start by adding the digits 2 & 3 in column 4 and get 5.

So, 2234 + 3044 = 5278.

