Calculate the Sum: 2781 + 8417 Using Vertical Addition

Video Solution

Solution Steps

00:00 Solve

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

00:06 Start by combining ones with ones

00:09 Place the ones

00:12 Combine tens with tens, place in tens

00:16 Combine hundreds with hundreds

00:20 Place hundreds in hundreds, and add 1 to thousands

00:27 Combine thousands with thousands, remember to add 1 to the calculation

00:31 Place thousands in thousands, and add 1 to tens of thousands

00:35 Place 0 in the missing digits

00:38 Combine tens of thousands with tens of thousands, and place

00:42 And this is the solution to the problem

Step-by-Step Solution

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

Step 1: Set up the numbers for addition in a vertical format, aligning the rightmost digits.
Step 2: Add each column starting from the right, keeping track of the carryover.
Step 3: Continue the addition for all columns, incorporating any carryover into the next left column.

Now, let's work through the addition process:

Add the units column: $1 + 7 = 8$ . No carryover occurs here.

Next, add the tens column: $8 + 1 = 9$ . Still, no carryover is involved.

Then, add the hundreds column: $7 + 4 = 11$ . Because this is more than 9, we write down 1 and carry over 1 to the next column.

Finally, add the thousands column: $2 + 8 = 10$ , plus the 1 carried over gives 11. Thus, we write down 11.

Therefore, the sum of the numbers is $\boxed{11198}$ .