Calculate the Sum: Adding 742 and 258

$\begin{aligned} &742 \\ +& \\ &258 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this vertical addition problem, let's break down each step:

• Step 1: Align the numbers for vertical addition:
  742
  + 258
  

• Step 2: Add the units column (rightmost digits):
  2 + 8 = 10, write down $0$ and carry over $1$ to the tens column.

• Step 3: Add the tens column, including the carry:
  4 + 5 + 1 (carry) = 10, write down $0$ and carry over $1$ to the hundreds column.

• Step 4: Add the hundreds column, including the carry:
  7 + 2 + 1 (carry) = 10, write down $0$ and carry over $1$ to the thousands position.

• Since there is a carry in the thousands position, write down $1$ as the leading digit.

Therefore, the sum of $742$ and $258$ is $1000$.