Calculate 574 + 333: Three-Digit Addition in Vertical Format

$\begin{aligned} &574 \\ +& \\ &333 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we will perform vertical addition, ensuring proper handling of place values and carrying, as necessary.

Here’s how the addition progresses step-by-step:

• Step 1: Add the ones place (rightmost column).
  $4 + 3 = 7$
  No carrying is needed since the sum is less than 10.
• Step 2: Add the tens place.
  $7 + 3 = 10$
  Write 0 in the tens position and carry over 1 to the hundreds column.
• Step 3: Add the hundreds place with the carried over value.
  $5 + 3 + 1 = 9$
  There's no further carrying needed because the sum is less than 10.

The final sum is obtained by combining the results from each column, giving us:

$\underline{907}$

So, the sum of 574 and 333 is $907$.