Solve Three-Digit Addition: 986 + 757 in Vertical Format

$\begin{aligned} &986 \\ +& \\ &757 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Identify the given numbers - 986 and 757.
• Step 2: Apply the vertical addition method.
• Step 3: Perform the calculation column by column, starting from the right. Carry over if necessary.

Now, let's work through each step:

Starting with the units column:
$6 + 7 = 13$. Since 13 is greater than 9, we write down 3 and carry over 1 to the tens column.

Next, in the tens column:
$8 + 5 = 13$, and adding the carry over 1 gives us 14. Again, we write down 4 and carry over 1 to the hundreds column.

Finally, in the hundreds column:
$9 + 7 = 16$, and adding the carry over 1 gives us 17. Here, we write down 17 as there are no other columns to carry over to.

Therefore, the final sum is $1743$.

To verify, let's match this result with the given choices. The correct choice is: $1743$.