Let's break this down. We're going to add 5005 and 1964 together.

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 & 6 in column 2 and get 6.

Step 3: We'll start by adding the digits 0 & 9 in column 3 and get 9.

Step 4: We'll start by adding the digits 5 & 1 in column 4 and get 6.

So, 5005 + 1964 = 6969.

