Alright, let's solve this problem step by step. We have 1005 and 8140 and we're adding them together.

Step 1: We'll start by adding the digits 5 & 0 in column 1 and get 5.

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

Step 3: We'll start by adding the digits 0 & 1 in column 3 and get 1.

Step 4: We'll start by adding the digits 1 & 8 in column 4 and get 9.

So, 1005 + 8140 = 9145.

