Solve Five-Digit Addition: 35612 + 44675 Using Vertical Format

To solve this problem, we'll use vertical addition, carefully ensuring each digit is correctly placed and carried over if necessary:

• Write the numbers on top of each other as such:
  35612
  +
  44675

Begin with the rightmost column (ones place):

• Column 1 (Units): $2 + 5 = 7$. Place 7 below the line.
• Column 2 (Tens): $1 + 7 = 8$. Place 8 below the line.
• Column 3 (Hundreds): $6 + 6 = 12$. The sum is greater than 9, so place 2 below the line and carry over 1 to the next column.
• Column 4 (Thousands): $5 + 4 = 9$, then add the carryover 1 to get 10. Place 0 below the line and carry over 1.
• Column 5 (Ten-Thousands): $3 + 4 = 7$, then add the carryover 1 to get 8. Place 8 below the line.

The complete addition step-by-step is as follows:

35612
+
44675
_____
80287

Therefore, the sum of $35612$ and $44675$ is $80287$.

Comparing with the choices given, our result matches choice 2.

Thus, the solution to the problem is $80287$.