Alright, let's solve this problem step by step. We have 1 and 5277 and we're adding them together.

Step 1: We'll start by adding the digits 1 & 7 in column 1 and get 8.

Step 2: We'll start by adding the digits 0 & 7 in column 2 and get 7.

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 0 & 5 in column 4 and get 5.

So, 1 + 5277 = 5278.

