This is if the FOCUS algorithm - The one to learn really well! This algorithm is how most adults add! However, the adults might say "Carry the one." instead of "Regroup the 10 into the next place." or "Put the ten into the ten's place."
This algorithm is one of the strategies we teach before we teach the US Standard algorithm. When you use this algorithm you can see what happens in each place. Interestingly, this strategy is how most adults compute mentally!