Okay, we are tasked with adding 3006 and 1232. Let's begin!

Step 1: We'll start by adding the digits 6 & 2 in column 1 and get 8.

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 & 2 in column 3 and get 2.

Step 4: We'll start by adding the digits 3 & 1 in column 4 and get 4.

So, 3006 + 1232 = 4238.

