Solve Vertical Addition: 2789 + 456 Step by Step

$\begin{aligned} &2789 \\ +& \\ &~~456 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve the addition of $2789 + 456$, we'll proceed with vertical addition:

• Step 1: Align the numbers by their digits:
  $\begin{array}{c} \phantom{0}2789 \\ +\phantom{0}456 \\ \underline{\phantom{0000}} \\ \end{array}$
• Step 2: Start adding from the rightmost column (ones place):
  $9 + 6 = 15$. Write down $5$ and carry over $1$ to the tens place.
• Step 3: Add the tens place:
  $8 + 5 = 13$, and add the carry over $1$, getting $14$. Write down $4$ and carry over $1$ to the hundreds place.
• Step 4: Add the hundreds place:
  $7 + 4 = 11$, and add the carry over $1$, getting $12$. Write down $2$ and carry over $1$ to the thousands place.
• Step 5: Add the thousands place:
  Since we only have $2$ and a carry of $1$, the result is $3$.
• Step 6: Compile the result across all columns:
  $3245$

Therefore, the solution to the addition problem is $3245$.