Adding 2-Digit Numbers

Adding 2-Digit Numbers with and without Carry | How to Teach Addition of Two-Digit Numbers?

Adding 2–Digit Numbers is possible with regrouping and also without regrouping. Check out the detailed concept of Adding two-digit numbers. The first one in the Adding 2–Digit Numbers is the addition of 2 digit numbers with carrying and another one is without carrying. In this concept, we are providing a number of activities and clear explanations with examples. Go through the page and understand the concept clearly. Practice the problems and quickly solve the problems by adding two-digit numbers.

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Two Digit Addition

The mathematical expression for an addition of 2 – digit numbers is
Addition of 2 - digit number
Two-digit number + Two-digit number = resultant value. For example, if we are going to add the two-digit number 24 with another two-digit number 14, then we can write it in the mathematical form as
24 + 14 = 38.
By adding the 2 – digit numbers 24 and 14, we will get the sum as 38.

How to Add 2 – Digit Numbers?

To quickly solve the problems of adding 2 – digit numbers, simply follow the below steps. They are as below

  • Note down the given two-digit numbers, one by one.
  • First, add the 1’s place of digits in the two numbers.
  • If you got the carry on 2nd step, then add it to the 10’s place number.
  • If you didn’t get the carry on 2nd step, then directly go to the fifth step.
  • Now, add the 10’s place numbers of two–digit numbers.
  • If you got the carry on 5th step, then write it down on resultant value as 100’s place.
  • Finally, you will get the equivalent sum of the 2 – digit numbers.

Adding 2 Digit Numbers Examples | Double Digit Addition for Kids

Check out the below problems and practice all of them to learn about adding two-digit numbers. A detailed explanation will help to solve the addition of 2-digit numbers easily.

(i) 20 with 10.

20
10 (1st step)
—————————-
0 ( 2nd step add the 1’s place numbers, that is 0 + 0 = 0).
In the 2nd step, we didn’t get any carry, then we have to follow the 5th step next. That is,
20
10
—————————-
30 (addition of 10’s place numbers is 2 + 1 = 3).

Therefore, we can write it as 20 + 10 =30.

(ii) 27 + 34 = ?

27
34
——————–
1 (7 +4 = 11).
Add the carry to the 10’s place numbers
27
34
——————–
61 ( 2 + 3 + 1 = 6)

The addition of 2 – digit numbers 27 and 34 are 61.

(iii) 15 + 63 = ?

15
63
——————
8 (no carry)
15
63
——————-
78

Therefore, the addition of 2 –digit numbers 15 and 63 is 78.

(iv) 98 + 22 = ?

98
22
——————
0 ( carry generated – 1 is the carry)
Add the carry to the 10’s place numbers
98
22
——————
120

Therefore, the addition of 2 –digit numbers 98 and 22 is 120.

(v) 65 + 10 = ?
65
10
—————–
5 (no carry)
65
10
—————–
75

Therefore, adding 2 – digit numbers 65 and 10, we will get the resultant sum as 75.

2 Digit Addition Activities

Students can improve their performance in mathematics by doing activities on adding 2 – digit numbers. Follow every activity on adding 2 – digit numbers to improve the skills of the students.

• By following the arrow method, we can add the 2 – digit numbers very quickly. That is
(i) 26 + 12 = ?
adding 2 - digit numbers
Add 6 with 2. 6 + 2 = 8. Check the resultant get carry or not.
As there is no carry, add 10’s place digits. Add 2 with 1. 2 + 1 = 3
So, place the numbers in order to get the final answer.

The final answer is 38.

(ii) 13 + 15 = ?
adding 2 - digit number activities

Add 5 with 3. 5 + 3 = 8. Check the resultant get carry or not.
As there is no carry, add 10’s place digits. Add 1 with 1. 1 + 1 = 2
So, place the numbers in order to get the final answer.

The final answer is 28.

• Divide the 2 – digit number as 10’s place numbers and 1’s place number. Now, add the 10’s place numbers and 1’s place numbers separately, and then add the resultant values.
(i) 46 + 12
We can write is as
46 = 40 + 6 (Expanded Form)
12 = 10 + 2 (Expanded Form)
———————–
58 = 50 + 8 = 58

The final answer is 58.

(ii) 88 + 13
We can write it as
88 = 80 + 8 (Expanded Form)
13 = 10 + 3 (Expanded Form)
————————
101 = 90 + 11 = 101.

The final answer is 101.

Adding 2 – Digit Numbers on a Number line

By drawing the number line, students can calculate the addition of 2- digit numbers in their mind. That means, they can add the numbers on their own. Students can improve their logical thinking. We have two methods in the number line system. The first one is the jumping method. That is,
(i) If we have to find the 20 + 30, then first note down the first 2 – digit number on a number line.
(ii) Next, for the second 2- digit number, you have to jump the number of tens which are equivalent to the second number.
(iii) In this example, our second number is 30, so we have to jump 3 times. Every jump contains the number 10.

(I) 20 + 50 = ?
addition of 2 - digit numbers

Finally, the resultant value of the addition of 20 and 30 is 50.
(iii) 60 + 40 = ?
adding 2 - digit number with Number Line
The second method is, directly add the 2 – digit numbers on a number line. That is
(iii) 50 + 65 = ?
adding 2 - digit numbers - number line problems
Addition of 2 – digit numbers 50 + 65 = 115.

Adding 2 – Digit Numbers with Images

To quickly answer the question and to easily remember the concept of adding 2 – digit numbers, follow the below images method. That means, in the below explanation, we are going to explain the Two-Digit Numbers Addition in the form of images.

For example, 10 + 12 = ?
adding 2 - digit number images = 22.
Count the complete images shown above, you will get the result of the addition of 2 – digit numbers 10 and 12.

Adding 2 – Digit Numbers in Columns

We already explained this method. We are providing some more examples of adding 2 – digit numbers in columns. Practice every problem and find the answer exactly and very quickly.

(i) 10 + 15

10
15
————–
25 ( no carry)

Therefore, the final answer is 25.

(ii) 25 + 35

25
35
———————-
60 (carry generated)

Therefore, the final answer is 60.

(iii) 62 + 66

62
66
—————
128 ( no carry)

Therefore, the final answer is 128.

(iv) 38 + 14

38
14
——————-
52 (carry generated)

Therefore, the final answer is 52.

Addition of 2 –Digit Numbers Horizontally

We can also add the 2 – digit numbers horizontally. To perform the addition of 2 – digit numbers horizontally, follow the below steps.
(i) First, add the 1’s place numbers of two 2 – digit numbers.
(ii) If you get any carry, then add it to the 10’s place numbers of 2 – digit numbers.
(iii) Otherwise, add the 10’s place numbers of 2 – digit numbers.
Examples
(i) 16 + 12 = 28.
(ii) 22 + 32 = 54.
(iii) 65 + 35 = 100.
(iv) 46 + 25 = 71.
(v) 55 + 20 = 75.

Adding 2 – Digit Number Table

To simply remember each and every addition of 2 – digit numbers, just follow the below table and practice it. Carefully observe the table and try to remember the addition of 2-digit numbers easily.

adding 2 - digit numbers table

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