Calculate the Sum: 36715 + 45192 in 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 combining ones with ones

00:09 Place the ones

00:12 Combine tens with tens

00:15 Place tens in tens, and add 1 to hundreds

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

00:24 Place in hundreds

00:27 Combine thousands with thousands

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

00:36 Combine tens of thousands with tens of thousands, add 1 to the calculation

00:42 Place in tens of thousands

00:45 And this is the solution to the question

Step-by-Step Solution

To solve the problem effectively, we will follow a systematic approach:

Step 1: Write the two numbers one above the other, aligning by columns according to their place value.
Step 2: Begin adding from the rightmost column (the units place), moving leftward. Remember to carry over any tens to the next place value.
Step 3: Continue to add column by column, including any carries from the previous column.

Let's work through these steps with the given numbers:

$\begin{aligned} &\phantom{+}36715 \\ + &45192 \\ \hline \end{aligned}$

Units Column (far right):
5 (from 36715) + 2 (from 45192) = 7

Tens Column:
1 (from 36715) + 9 (from 45192) = 10
Write down 0, and carry over 1.

Hundreds Column:
7 (from 36715) + 1 (carry) + 1 (from 45192) = 9

Thousands Column:
6 (from 36715) + 5 (from 45192) = 11
Write down 1, and carry over 1.

Tens of Thousands Column:
3 (from 36715) + 4 (from 45192) + 1 (carry) = 8

Thus, the sum is:

$\begin{aligned} &\phantom{+}36715 \\ + &45192 \\ \hline &81907 \\ \end{aligned}$

Therefore, the solution to the problem is $81907$ .