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

Video Solution

Solution Steps

00:00 Solve

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

00:06 Start by multiplying ones with ones

00:09 Place the ones, add 1 to tens

00:13 Multiply tens with tens, remember to add 1 to the calculation

00:18 Place tens in tens, add 1 to hundreds

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

00:28 Place hundreds in hundreds, and add 1 to thousands

00:32 Place 0 in the missing digits

00:36 Multiply thousands with thousands, remember to add 1

00:39 Place in thousands

00:41 And this is the solution to the question

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 $1004$ .