Solve Three-Digit Addition: 826 + 178 in Vertical Format

Video Solution

Solution Steps

00:06 Let's solve this problem together!

00:09 Think about combining two digits each time.

00:13 First, multiply the ones digit by the ones digit.

00:17 Put the result in the ones place, then add one to the tens.

00:22 Next, multiply the tens digit by the tens digit. Don't forget to add one!

00:29 Put the result in the tens place and add one to the hundreds.

00:34 Now, multiply the hundreds digit by the hundreds digit, and remember to add one.

00:40 Place the result in the hundreds place, and add one to the thousands.

00:45 If there are missing digits, just place zeros there.

00:50 Finally, multiply the thousands digit by the thousands digit, and add one.

00:55 Put the result in the thousands place.

00:58 And that's how we find the solution! Well done!

Step-by-Step Solution

To solve this problem of adding $826$ and $178$ using vertical addition, we proceed as follows:

First, we align the numbers vertically, ensuring that digits are in their respective places:

$\begin{array}{c} & 8 & 2 & 6 \\ + & 1 & 7 & 8 \\ \hline \end{array}$

Step 1: Add the units (rightmost) column: $6 + 8 = 14$ . Place the $4$ in the units column of the result and carry over the $1$ to the tens column.
Step 2: Add the tens column: $2 + 7 = 9$ and add the carried over $1$ : $9 + 1 = 10$ . Place $0$ in the tens column of the result and carry over the $1$ to the hundreds column.
Step 3: Add the hundreds column: $8 + 1 = 9$ and add the carried over $1$ : $9 + 1 = 10$ . Write down the entire sum, $10$ , in the hundreds and beyond place.

The resulting sum is $1004$ .

Thus, the solution to the problem is $1004$ .