Vertical Addition

Sometimes we encounter relatively complex addition exercises like:
$4356+213$
or $3434+7123$
that will be difficult for us to add in the regular way.
This is exactly why we will use the vertical addition method, which should simplify the addition exercises for us.

When we encounter an exercise like this: $2134+9763=$
We need to write it with numbers aligned under each other in an organized way.
The main rule in writing vertical exercises is to write the numbers in the correct order:
The ones digit under the ones digit, the tens digit under the tens digit, the hundreds digit under the hundreds digit, and the thousands digit under the thousands digit.
For example, the exercise $2734+9763=$ we will write like this:

Note - we will write the + sign on the left side to show that this is an addition exercise.
And now? Let's solve it!
We always start with the ones digit and add them together - meaning $4+3$
Write the result under the ones digit.

Continue to the next digit - the tens digit.
Add them together $3+6$ and write the result below:

Proceed to the hundreds digit and add them together.
Notice: $7+7=14$
Since $14$ is a two-digit number, we won't write $14$ instead
we'll only write the ones digit $4$.
Write the $1$ above the thousands digit as seen below:

Pay attention -
We wrote $1$ above the thousands digit and now we'll add the thousands digits together with the one we wrote above.
That is:
$1+2+9=12$
Even though $12$ is a two-digit number, given that there are no more digits to add in the exercise, we'll simply write it in the results line as follows:

We're done!
The result of the exercise is $12,497$

1. Write the numbers vertically one under the other, aligning ones under ones, tens under tens, hundreds under hundreds, and thousands under thousands.
2. Don't forget to mark + on the left side and draw a line separating the exercise from the results row.
3. Start adding the ones digit of the first number with the ones digit of the second number and so on.
4. At each step check - did we obtain a two-digit number?
   If yes, write only its ones digit in the results row and write the tens digit above the next column to remember to add it.
5. Only when there are no more digits to add, we can write the two-digit number we obtained (if we obtained one) as is in the results row.

Did you know?
Column addition is called column addition
due to the fact that the numbers are written one below the other in a vertical and organized manner.

And now let's practice!
Solve the following exercise using vertical addition:
$5290+4993=$

Solution:
To begin with we will write the problem vertically according to how we have ben taught.
Remember - ones under ones and so on..

Now we will start adding the ones digits

$3+0=3$

Let's continue adding the tens digits:
$9+9=18$
Since $18$ is a two-digit number, we'll write $8$ and carry the $1$ up

Let's add the hundreds digits and don't forget to add the $1$ that we wrote above:
$1+2+9=12$
Since $12$ is a two-digit number, we'll write the digit $2$ and write the $1$ above the thousands digits.

Now we'll move on to adding the thousands digits not forgetting to add the $1$ that we wrote above:
$1+5+4=10$
Since we don't have any more digits to add in the exercise, we'll write $10$ as it is despite it being a two-digit number.

We're done! The result is $10,283$.