Solve the Addition Problem: 945 + 88 in Vertical Format

To solve this problem, we employ vertical addition as follows:

• Align the numbers according to their place values:

945
+ 88
_______

We'll add column by column, starting from the right (units place):

• Units (right-most) Column:
  Add 5 and 8 to get 13. Write down 3 and carry over 1 to the next column.
• Tens Column:
  Add 4 and 8 to get 12, plus the carry-over 1 equals 13. Write down 3 and carry over 1 to the hundreds column.
• Hundreds Column:
  Add 9 and the carry-over 1 to get 10. Write down 0, and carry over 1 to the thousands column (or simply add since it's the last position in this sum).

Adding these values gives us the final result:

945
+ 88
_______
1033

Therefore, the solution to the addition problem is $1033$.