Calculate the Sum: Adding 8974 and 264 in Vertical Format

$\begin{aligned} &8974 \\ +& \\ &~~264 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll follow these steps:

• Step 1: Arrange the numbers vertically with 8974 on top and 264 below it.
• Step 2: Add the numbers column by column, starting from the rightmost (units) column.
• Step 3: Record the sum below the line, carrying over wherever necessary.

Let's perform the addition:

Step 1: Arrange the numbers vertically.

$\begin{array}{c} 8974 \\ +264 \\ \underline{\phantom{776}} \\ \end{array}$

Step 2: Begin adding from the rightmost column (units):

• Units digit: $4 + 4 = 8$, so write 8 in the units place.
• Tens digit: $7 + 6 = 13$, write 3 and carry over 1 to the hundreds column.
• Hundreds digit: $9 + 2 + 1 = 12$, write 2 and carry over 1 to the thousands column.
• Thousands digit: $8 + 1 = 9$, write 9.

Step 3: Write the final result:

$\begin{array}{c} 8974 \\ +264 \\ \underline{9238} \\ \end{array}$

Therefore, the solution to the problem is $9238$.