Solve: Adding 83716 and 19194 Using Vertical Format

To solve this problem, we'll follow a systematic vertical addition process:

• Step 1: Align the numbers vertically by their place values:

$\begin{array}{c} 83716 \\ +19194 \end{array}$

• Step 2: Start adding from the rightmost column (units place).
  - Units: $6 + 4 = 10$ — write down $0$ and carry $1$.
• Step 3: Move to the tens column.
  - Tens: $1 + 9 = 10$, plus the carry of $1$, gives $11$ — write down $1$ and carry $1$.
• Step 4: Move to the hundreds column.
  - Hundreds: $7 + 1 = 8$, plus the carry of $1$, gives $9$ — write down $9$.
• Step 5: Move to the thousands column.
  - Thousands: $3 + 9 = 12$ — write down $2$ and carry $1$.
• Step 6: Move to the ten-thousands column.
  - Ten-thousands: $8 + 1 = 9$, plus the carry of $1$, gives $10$ — write down $0$ and carry $1$, adding it as a new leading digit.

Thus, the resulting sum of $83716 + 19194$ is $102910$.