Addition

An addition problem is when we add something to something.
When we see the sign $+$ that let's us know that it's an addition problem.

Let's look at an example –

Daria has $3$ blue balls

An image displaying three blue circles aligned horizontally, suggesting a visual representation of the number three.

Max has $2$ orange balls

An image displaying two orange circles aligned horizontally, suggesting a visual representation of the number two.

How many balls do Daria and Max have together?

Let's count the balls -

A visual representation of five dots: three blue dots numbered 1, 2, and 3 on the top row, and two orange dots numbered 4 and 5 on the bottom row. This arrangement visually demonstrates counting or addition.

Together they have $5$ balls in total.
The addition exercise is: $3+2=5$

Detailed explanation

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Test yourself on addition!

Add fifty units to the number 31.

What is the resulting number?

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Addition

Now we'll move on to a slightly harder exercise.
Solve the exercise $13+4=$

Let's use balls-
We have a group of $13$ balls

An image displaying a total of 15 blue dots arranged in three rows. Each row contains five evenly spaced dots, visually demonstrating a grouping concept often used in basic math exercises or counting activities.

and a group of $4$ balls

An image featuring four orange dots arranged in a square formation, often used to represent grouping or counting in basic math exercises.

The plus $+$ reminds us that we need to add them together.

Upon counting how many balls we have in total we discover that we have $17$ balls.
$13+4=17$

An arrangement of 15 blue dots and 5 orange dots, visually grouped to represent a total count or a mathematical operation like addition.

Well done!
Now let's proceed to adding without needing to draw circles.
When I have any number, for example $15$ , and want to add $3$ to it,
like in the exercise $15+3=$
Imagine that we already have $15$ and we just want to add $3$ more.
Let's count:

First we'll add $1$ and obtain $16$

A black silhouette of a hand showing three fingers raised, with the number "16" positioned above the hand, potentially illustrating counting or arithmetic concepts.

Let's continue to add $1$ and we'll obtain $17$

A black silhouette of a hand showing three fingers raised. The numbers "16" and "17" are positioned above two of the raised fingers, suggesting an incremental counting or mathematical concept.

Finally we'll add $1$ and obtain $18$ !

A black silhouette of a hand with three fingers raised. The numbers "16," "17," and "18" are labeled above the three raised fingers, representing sequential counting or an addition concept.

The answer
$15+3=18$

Let's do another exercise –

What is the solution to the following exercise:
$12+4=$
Let's imagine we have $12$ and we're simply adding $4$ .
Add $1$ – we obtain $13$
Add another $1$ – we obtain $14$
Add another $1$ – we obtain $15$
Add another $1$ – and we obtain $16$

We added $4$ and obtained $16$ !
Therefore:
$12+4=16$

Now let's move on to slightly more advanced exercises!

Imagine that Annabeth has $22$ chocolate cubes

An image depicting two rectangular grids, each divided into 2 rows and 5 columns (10 cells total), and a smaller rectangular grid below them, divided into 1 row with 2 cells.

and Gilbert has $15$ chocolate cubes.

An image displaying one rectangular grid at the top with 2 rows and 5 columns (10 cells total), and below it, a row of 5 smaller square boxes aligned horizontally.

How can we know how many chocolate cubes they have together without drawing or adding 1 each time?
Observe the following method

The numbers we have contain tens and ones.
Let's see how many tens Annabeth has – $20$
and how many tens Gilbert has – $10$
We'll add them together and obtain the following $20+10=30$
Now let's proceed to the ones – $2$ ones for Annabeth
and $5$ ones for Gilbert –
Added together we obtain $5+2=7$

Now we'll add the sum of tens with the sum of ones as shown below:
$30+7=37$
This is the result of the exercise $22+15=37$

Let's learn another way:
Vertical solution!
When we are presented with an addition problem like this for example:
$32+6=$

Let's write it vertically in a neat way - ones under ones and tens under tens if there are any.

A vertical addition problem showing "32 + 6" with the answer "38" written below the line. The numbers are bold and black, indicating a clear arithmetic calculation.

Let's add ones with ones –
$2+6=8$
and tens with tens
$3+0=3$

We obtain the following result $32+6$
is $38$ .

Let's solve another exercise:
$13+45=$

Let's write the problem vertically, placing all ones under ones and tens under tens, and we should obtain the following solution:

A vertical addition problem showing "13 + 45" with the answer "58" written below the line. The numbers are bold and black, representing a clear mathematical calculation.

Let's calculate $3+5$
We obtain $8$
Proceed to calculate $1+4$
We obtain $5$

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Test your knowledge

Question 1

Add ten units to the number 72.

What is the resulting number?

Question 2

Add thirty units to the number 44.

What is the resulting number?

Question 3

Add twenty units to the number 66. What is the resulting number?

Examples with solutions for Addition

Exercise #1

We built the number 66 - what number will we get if we add one ten and one unit?

Step-by-Step Solution

To solve this problem, we need to add one ten (10) and one unit (1) to the number 66.

We'll follow these steps to find the new number:

Step 1: Start with the original number, $66$ .
Step 2: Add one ten. This means adding $10$ to $66$ .
$66 + 10 = 76$ .
Step 3: Add one unit to the result from Step 2. This means adding $1$ to $76$ .
$76 + 1 = 77$ .

Therefore, after adding one ten and one unit to 66, the resulting number is $77$ .

Answer

$77$

Exercise #2

Add ten units to the number 72.

What is the resulting number?

Step-by-Step Solution

To find the resulting number when ten units are added to 72, we will perform the following steps:

Step 1: Identify the starting number, which is 72.
Step 2: Add 10 to the starting number. This is done by calculating $72 + 10$ .

Let's perform the calculation:

$72 + 10 = 82$

Therefore, the resulting number when ten units are added to 72 is $82$ .

Answer

$82$

Exercise #3

Add fifty units to the number 31.

What is the resulting number?

Step-by-Step Solution

To solve this problem, we'll perform simple addition:
Step 1: Identify the numbers to be added, which are 31 and 50.
Step 2: Calculate the sum: $31 + 50$ .

Let's perform the calculation:

Start the addition from the rightmost digit (units place).
In the units place, add 1 (from 31) and 0 (from 50), giving us 1.
In the tens place, add 3 (from 31) and 5 (from 50), which gives us 8.

Since there's nothing to carry over, the sum directly gives us the resulting number. Thus, $31 + 50 = 81$ .

Therefore, the resulting number when adding fifty units to the number 31 is $81$ .

Answer

$81$

Exercise #4

What number do we get if we add 2 tens and 2 units to the number 34?

Step-by-Step Solution

To solve this problem, we'll perform the addition step-by-step, carefully keeping track of place values.

First, we start with the number 34.
We need to add 2 tens, which is equivalent to adding 20. Thus:
$34 + 20 = 54$

Next, add 2 units to the new total:
$54 + 2 = 56$

The final number we get after adding 2 tens and 2 units to 34 is $\mathbf{56}$ .

Answer

$56$

Exercise #5

What number do we get if we add 3 tens and 4 units to the number 55?

Step-by-Step Solution

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

Step 1: Add the 3 tens to the number 55.
Step 2: Add the 4 units to the result from Step 1.

Let's work through each step:

Step 1: We need to add three tens to 55. Three tens equal $3 \times 10 = 30$ .
Thus, adding 30 to 55 gives us:

$55 + 30 = 85$

Step 2: Now, we add the 4 units to the result of Step 1 (which is 85).
Adding 4 gives us:

$85 + 4 = 89$

Therefore, the solution to the problem is $89$ .

Answer

$89$

Start practice

Addition

Addition

Test yourself on addition!

Addition

Examples with solutions for Addition

Exercise #1

Step-by-Step Solution

Answer

Exercise #2

Step-by-Step Solution

Answer

Exercise #3

Step-by-Step Solution

Answer

Exercise #4

Step-by-Step Solution

Answer

Exercise #5

Step-by-Step Solution

Answer

More Questions

Addition