Solve 728 + 182: Three-Digit Addition in Vertical Format

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider combining 2 digits, and then place

00:06 Let's start by combining ones with ones

00:09 Place the ones, add 1 to the tens

00:15 Combine tens with tens, remember to add 1 to the calculation

00:19 Place tens in tens, add 1 to hundreds

00:23 Combine hundreds with hundreds, remember to add 1

00:29 Place in hundreds

00:32 And this is the solution to the question

Step-by-Step Solution

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

Step 1: Align the numbers $728$ and $182$ vertically by their respective place values (ones, tens, hundreds).
Step 2: Add the digits in each column starting from the ones place and moving to the left (tens, then hundreds), carrying as necessary.

Now, let's work through each step:
Step 1: The numbers are aligned as follows:

$\begin{array}{c} & 7 & 2 & 8 \\ + & 1 & 8 & 2 \\ \hline \end{array}$

Step 2: Start adding from the rightmost column (ones):

$8 + 2 = 10$ . We write down the $0$ and carry over the $1$ to the tens column.

Next, add the tens column including the carried $1$ :

$2 + 8 + 1 = 11$ . We write down the $1$ and carry over the $1$ to the hundreds column.

Finally, add the hundreds column including the carried $1$ :

$7 + 1 + 1 = 9$ . Write the $9$ .

Therefore, the sum is $910$ .

The solution to the problem is $\boxed{910}$ .