Solve: Adding 83716 and 19194 Using 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 multiplying ones with ones

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

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

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

00:25 Multiply hundreds with hundreds, and place in hundreds

00:32 Multiply thousands with thousands

00:37 Place in thousands, add 1 to tens of thousands

00:42 Multiply tens of thousands with tens of thousands, add 1 to calculation

00:46 Place in tens of thousands, and add 1 to hundreds of thousands

00:51 Place 0 in the missing digits

00:54 Multiply hundreds of thousands with hundreds of thousands, and place

00:57 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow a systematic vertical addition process:

$\begin{array}{c} 83716 \\ +19194 \end{array}$

Step 2: Start adding from the rightmost column (units place).
- Units: $6 + 4 = 10$ — write down $0$ and carry $1$ .
Step 3: Move to the tens column.
- Tens: $1 + 9 = 10$ , plus the carry of $1$ , gives $11$ — write down $1$ and carry $1$ .
Step 4: Move to the hundreds column.
- Hundreds: $7 + 1 = 8$ , plus the carry of $1$ , gives $9$ — write down $9$ .
Step 5: Move to the thousands column.
- Thousands: $3 + 9 = 12$ — write down $2$ and carry $1$ .
Step 6: Move to the ten-thousands column.
- Ten-thousands: $8 + 1 = 9$ , plus the carry of $1$ , gives $10$ — write down $0$ and carry $1$ , adding it as a new leading digit.

Thus, the resulting sum of $83716 + 19194$ is $102910$ .