Okay, we are tasked with adding 4487341939 and 1339665100. Let's begin!

Step 1: We'll start by adding the digits 9 & 0 in column 1 and get 9.

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

Step 3: We'll start by adding the digits 9 & 1 in column 3 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 1 & 5 in column 4 and get 7.

Step 5: We'll start by adding the digits 4 & 6 in column 5 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 6: We'll start by adding the digits 3 & 6 in column 6 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 7: We'll start by adding the digits 7 & 9 in column 7 and get 17.
We'll write down the last digit 7 and carry the 1 to the next column.

Step 8: We'll start by adding the digits 8 & 3 in column 8 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 4 & 3 in column 9 and get 8.

Step 10: We'll start by adding the digits 4 & 1 in column 10 and get 5.

So, 4487341939 + 1339665100 = 5827007039.

