Calculate the Sum: 95781 + 22245 in Vertical Format

Video Solution

Solution Steps

00:00 Solve

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

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

00:09 Place the ones

00:13 Combine tens with tens

00:16 Place tens in tens, and add 1 to hundreds

00:20 Combine hundreds with hundreds, remember to add 1 to the calculation

00:23 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 in thousands

00:34 Combine tens of thousands with tens of thousands

00:39 Place in tens of thousands, and add 1 to hundreds of thousands

00:42 Place 0 in the missing digits

00:46 Combine hundreds of thousands with hundreds of thousands, and place

00:49 And that's the solution to the question

Step-by-Step Solution

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

Step 1: Align the numbers vertically for addition.
Step 2: Add each column starting from the rightmost digit (units) and moving to the left.
Step 3: Record any carry needed for sums exceeding 9.

Let's execute the vertical addition:
Write the numbers aligning each digit according to its place value:

$\begin{array}{c} 95781 \\ +22245 \\ \end{array}$

Step-by-step vertical addition:

Starting with the units place: $1 + 5 = 6$ . Record 6.
Tens place: $8 + 4 = 12$ . Record 2, carry over 1 to the hundreds place.
Hundreds place: $7 + 2 = 9$ , add the carry 1 to get $10$ . Record 0, carry over 1 to the thousands place.
Thousands place: $5 + 2 = 7$ , add the carry 1 to get $8$ . Record 8.
Ten-thousands place: $9 + 2 = 11$ . Record 1 and carry over 1 to the next place.
Since there's no next place, record this final carry in the ten-thousands place: 1.

Therefore, the sum of 95781 and 22245 is:

$\boxed{118026}$

The correct choice in the multiple-choice options is option 2, which matches our calculated sum.

Therefore, the solution to the problem is 118026.