Solve Four-Digit Addition: 3289 + 2835 Using Column Method

$\begin{aligned} &3289 \\ +& \\ &2835 \\ &\underline{\phantom{776}} & \\ \end{aligned}$$$

To solve this addition problem, we will follow a systematic step-by-step approach:

• Step 1: Align the numbers vertically so that corresponding place values line up. We have:

$\begin{aligned} &3289 \\ + &2835 \\ \end{aligned}$

• Step 2: Start adding from the rightmost digit (units place).
• Units place: $9 + 5 = 14$. Write 4 and carry over 1 to the tens place.
• Step 3: Move to the next digit (tens place).
• Tens place: $8 + 3 = 11$. Add the carry 1: $11 + 1 = 12$. Write 2 and carry over 1 to the hundreds place.
• Step 4: Proceed to the hundreds place.
• Hundreds place: $2 + 8 = 10$. Add the carry 1: $10 + 1 = 11$. Write 1 and carry over 1 to the thousands place.
• Step 5: Finally, add the thousands place.
• Thousands place: $3 + 2 = 5$. Add the carry 1: $5 + 1 = 6$. Write 6.

By compiling these results, the sum is 6124.

Therefore, the solution to the problem is $6124$.