Subscribe to our YouTube channel for the latest videos, updates, and tips.


Adding 2-Digit Numbers

Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers.

We are going to start working with the basic addition of two-digits with everything arranged because this is what we will always do with bigger numbers in future.

Addition of 2-digit Numbers

Let us learn how to add 2-digit numbers


Addition of 2-digit Numbers Using an Abacus:

For example:

1. Let us add 31 and 27 using an abacus.

Addition of 2-digit Numbers Using an Abacus

Step 1: Put the ones beads together.

1    +    7    =    8

Step 2: Put the tens beads together.

3    +    2    =    5

We get the number 58.

Thus, 31 + 27 = 58


2. Let us add 45 and 50 using an abacus.

Adding 2-Digit Numbers Using an Abacus

Step 1: Put the ones beads together. 5 + 0 = 5

Step 2: Put the tens beads together. 4 + 5 = 9

We get the number 95.

Thus, 45 + 50 = 95


I: Addition of 2-Digit Numbers without Regrouping: 

How to add two two-digit numbers without carrying?

Let’s follow the steps and start learning adding 2-digit numbers without regrouping with the help of an example.

1. Let us add 22 and 36.




Step I: Write each digit of numbers in place value columns.


Addition of 2-Digit Numbers

Step II: (i) Add the ones and write in the once place.

2 ones + 6 ones = 8 ones.


(ii) Add the tens and write in the tens place.

2 tens + 3 tens = 5 tens.

Addition of Two-Digit Numbers

Answer: 22 + 36 = 58


Adding 2-Digit Numbers Video

Subscribe to our YouTube channel for the latest videos, updates, and tips.



Addition without carrying:

2. Let us add 72 and 2.

First add the ones and then the tens.

Adding 2-Digit Numbers without Carrying

Thus, 72 + 2 = 74


3. Let us add 32 and 27.

Step 1: Arrange the numbers in tens and ones.

Step 2: Add the ones.

Step 3: Add the tens.

Addition without Carrying
Addition without Carrying

Thus, 32 + 27 = 59


4. 26 + 41

(i) Arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number.

Draw a line under the bottom number.

Adding 2-digit Numbers










(ii) Add first the ones' place digits. (6 + 1 = 7).

Adding 2-digit Number












(iii) Then add the tens' place digits. (2 + 4 = 6).

Adding Two-digit Numbers










(iv) The answer of 26 + 41 = 67.


Method II: 26 + 41

   26          =           2 tens + 6 unit → addend

+ 41          =           4 tens + 1 unit → addend

   67          =           6 tens + 7 unit → sum

So, adding 26 + 41 = 67.


Follow the steps of another example of adding 2-digit numbers.

5. 53 + 32

(i) Arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number. Draw a line under the bottom number.

Add Two Two-Digit Numbers












(ii) Add first the ones' place digits. (3 + 2 = 5).

Add Two Two-Digit Number Math












(iii) Then add the tens' place digits. (5 + 3 = 8).

Add Two-Digit Number











(iv) The answer of 53 + 32 = 85.


Method II: 53 + 32

   53          =           5 tens + 3 unit → addend

+ 32          =           3 tens + 2 unit → addend

   85          =           8 tens + 5 unit → sum

So, adding 53 + 32 = 85.


Addition of Two Digit Numbers

6. Add 32 and 53

         3 2     =  3 tens + 2 ones   =  30 + 2

      + 5 3     = 5 tens + 3 ones    =  50 + 3 

         8 5     = 8 tens + 5 ones    =  80 + 5 


Method: 

Step I: Add the ones,

           2 ones + 3 ones = 5 ones.

           Write 5 below the ones column.


Step II: Add the tens,

             3 tens + 5 tens = 8 tens.

             Write 8 below the tens column.


We can do the same problem in a short way. Steps remain the same as above.

             T  O

             3   2

          + 5   3 

             8   5 


Therefore, 32 + 53 = 85


7. Let us now consider addition of three 2-digit numbers 12, 14 and 53.



Step I: Write each digit of numbers in place value columns.

Step II: (i) Add the ones and write in the once place.


2 ones + 4 ones + 3 ones = 9 ones.

Addition of Three 2-Digit Numbers


(ii) Add the tens and write in the tens place.


1 ten + 1 ten + 5 tens = 7 tens.

 


Add Three 2-Digit Numbers

Answer: 12 + 14 + 53 = 79


Addition of More than Two 2-Digit Numbers 

Without Carrying

8. 16 + 32 + 21 = ?

Step I: Arrange the numbers in tens and ones.

Step II: Add the ones.

Step III: Add the tens.

Addition of More than Two 2-Digit Numbers
Addition of More than Two 2-Digit Numbers
Addition of More than Two 2-Digit Numbers

Thus, 16 + 32 + 21 = 69


Addition of Three Two Digit Numbers

9. Add 12, 31 and 22

         T  O

         1  2      =   1 ten + 2 ones   = 10  +  2

         3  1      =   3 tens + 1 one   = 30  +  1

   +   2  2      =   2 tens + 2 ones   = 20  +  2

        6  5      =   6 tens + 5 ones   = 60  +  5


Method:

Step I: Add the ones,

2 ones + 1 one + 2 ones = 5 ones.

Write 5 below the ones column.


Step II:

Add the tens,

1 ten + 3 tens + 2 tens = 6 tens.

Write 6 below the tens column.


Therefore, 12 + 31 + 22 = 65


10. Let us add 75 and 12.

Write the numbers one below the other as shown.

      T     O

      7     5

  +  1     2

      8     7

Step I: Add the ones. 5 ones + 2 ones = 7 ones

Write 7 in the ones place.

75 +12 87

Step II: Add the tens. 7 tens + 1 ten = 8 tens

Write 8 in the tens place.

The sum is 87.


Word Problem on Adding 2-digit Numbers (Without Regrouping)

11. Jack made 45 pots and Adam made 13 pots. How many pots did they make together?

Step I:

First add the ones.

5 + 3 = 8 ones

Write 8 under ones column.

    T     O

    4     5

+  1     3

           8

Step II:

TO

Next add the tens.

4 + 1 = 5 tens

Write 5 under tens column.

    T     O

    4     5

1     3

    5     8

So, the total number of pots is 58.


Regrouping

We can write a 2-digit number in different ways by regrouping it into tens and ones.

16 can be written as

Regrouping

Addition with Carrying

1. Add 6 and 4.

Addition with Carrying

Since we cannot have more than 9 beads in the ones rod, we change 10 ones to 1 ten and 0 ones.

Thus, 6 + 4 = 10


II. Addition of 2-Digit Numbers with Regrouping.

1. Add 58 and 34.

Step 1: Arrange the numbers in tens and ones.

Step 2: Now, add the ones.

8 ones + 4 ones = 12 ones

Since 12 is more than 9,

we change it to tens and ones.

12 ones = 1 ten + 2 ones.

Add. Carry over if needed.

Write 2 in the ones place and

carry over 1 ten to the tens column.

Addition with Carrying

Step 3: Then, add the tens.

5 tens + 3 tens = 8 tens

8 tens + 1 ten carried over = 9 tens

Write 9 in the tens place.

Thus, 58 + 34 = 92

Addition with Carrying


Addition of More than Two 2-Digit Numbers 

With Carrying

2. 45 + 17 + 30 = ?

Step I: Arrange the numbers in tens and ones.

Step II: Add the ones.

Addition of More than Two 2-Digit Numbers   With Carrying

Step III: Add the tens.

Addition of More than Two 2-Digit Numbers With Carrying

Thus, 45 + 17 + 30 = 92


Regrouping Tens

140 can be written as


140 can be written as

Regrouping Tens

or 1 hundred + 4 tens = 140

Sometime when we add two 2-digits numbers, we get a 3-digit number.


3. Add 60 and 40.

First put the ones beads together.

0     +     0      =     0

Addition Regrouping Tens

Then, put the tens beads together.

6 tens + 4 tens = 10 tens

Since we cannot have more than 9 beads in the tens rod,

we change 10 tens to 1 hundred.

Thus, 60 + 40 = 100


4. Add 85 and 42.

Step 1: Arrange the number in tens and ones

Step 2: Add the ones. 5 + 2 = 7

Addition of 2-Digit Numbers


Step 3: Add the tens.

Addition of 2-Digit Numbers

8 tens + 4 tens = 12 tens.

Regroup 12 tens into I hundred and 2 tens.

Write I in the hundreds place and 2 in the tens place.

Thus, 85 + 42 = 127


Addition With Carrying Twice

5. Add 69 and 55

Step 1: Arrange the numbers in tens and ones.

Step 2: Add the ones

Step 3: Add the tens.

Step 4: Add the hundreds.

Addition With Carrying Twice
Addition With Carrying Twice
Addition With Carrying Twice

Thus, 69 + 55 = 124




Worksheet on Adding 2-Digit Numbers without Regrouping:

Addition of 2-Digit Numbers without Regrouping:

1. Find the sum of the two 2-Digit Numbers.

(i) 25 + 11

(ii) 14 + 32

(iii) 44 + 31

(iv) 53 + 22

(v) 16 + 12

(vi) 31 + 46


Answer:

1. (i) 36

(ii) 46

(iii) 75

(iv) 75

(v) 28

(vi) 77



2. Find the sum of the three 2-Digit Numbers.

(i) 34 + 11 + 23

(ii) 45 + 22 + 31

(iii) 53 + 14 + 32

(iv) 11 + 22 + 33

(v) 71 + 14 + 13

(vi) 33 + 13 + 32

(vii) 23 + 45 + 11

(viii) 61 + 24 + 13

(ix) 54 + 13 + 22

(x) 44 + 11 + 10


Answer:

2. (i) 68

(ii) 98

(iii) 99

(iv) 66

(v) 98

(vi) 78

(vii) 79

(viii) 98

(ix) 89

(x) 65


3. Addition of 2-Digit Numbers without Regrouping:

(i)

              T     O

              1     6

         +   2     2

         ________

(ii)

              T     O

              2     3

         +   3     1

         ________

(iii)

              T     O

              4     6

         +   1     1

         ________

(iv)

              T     O

              6     4

         +   3     1

         ________

(v)

              T     O

              7     1

         +   2     6

         ________

(vi)

              T     O

              3     3

         +   5     5

         ________

(vii)

              T     O

              6     4

         +   2     2

         ________

(viii)

              T     O

              5     7

         +   3     2

         ________

(ix)

              T     O

              2     1

         +   1     6

         ________

(x)

              T     O

              1     6

         +   5     3

         ________


Answer:

3. (i) 38

(ii) 54

(iii) 57

(iv) 95

(v) 97

(vi) 88

(vii) 86

(viii) 89

(ix) 37

(x) 69


4. Add the following 2-Digit Numbers with Carry Over if needed.

(i)

              T     O

              2     7

         +   3     4

         ________

(ii)

              T     O

              1     4

         +   1     8

         ________

(iii)

              T     O

              3     8

         +   3     5

         ________

(iv)

              T     O

              6     7

         +   2     5

         ________

(v)

              T     O

              2     2

         +   2     9

         ________

(vi)

              T     O

              6     9

         +   2     4

         ________

(vii)

              T     O

              5     7

         +   3     3

         ________

(viii)

              T     O

              2     1

         +   1     9

         ________

(ix)

              T     O

              5     6

         +   3     8

         ________

(x)

              T     O

              4     4

         +   2     4

         ________


Answer:

4. (i) 61

(ii) 32

(iii) 73

(iv) 92

(v) 51

(vi) 93

(vii) 90

(viii) 40

(ix) 94

(x) 68


5. Add the following more than two 2-Digit Numbers with Carry Over if needed.

(i)

              T     O

              2     1

               4     0

         +   2     2

         ________

(ii)

              T     O

              1     5

               1     2

         +   1     1

         ________

(iii)

              T     O

              3     4

               2     2

         +   1     2

         ________

(iv)

              T     O

              4     2

               3     3

         +   1     2

         ________

(v)

              T     O

              1     1

               2     2

         +   3     5

         ________

(vi)

              T     O

              2     1

               2     5

         +   1     0

         ________

(vii)

              T     O

              3     0

               2     8

         +   1     0

         ________

(viii)

              T     O

              3     2

               2     0

         +   1     4

         ________

(ix)

              T     O

              1     5

               6     1

         +   1     2

         ________

(x)

              T     O

              4     3

               2     0

         +   2     2

         ________

(xi)

              T     O

              3     8

               2     0

         +   3     8

         ________

(xii)

              T     O

              3     2

               1     8

         +   2     9

         ________

(xiii)

              T     O

              1     7

               2     8

         +   4     0

         ________

(xiv)

              T     O

              3     6

               2     0

         +   1     8

         ________


Answer:

5. (i) 83

(ii) 38

(iii) 68

(iv) 87

(v) 68

(vi) 56

(vii) 68

(viii) 66

(ix) 88

(x) 85

(xi) 96

(xii) 79

(xiii) 85

(xiv) 74


6. Add the following 2-Digit Numbers with Carrying Twice.

(i)

         H       T       O

                  4       0

    +            6       1

   ______________

(ii)

         H       T       O

                  9       2

    +            2       5

   ______________

(iii)

         H       T       O

                  8       4

    +            4       2

   ______________

(iv)

         H       T       O

                  6       3

    +            7       6

   ______________

(v)

         H       T       O

                  9       1

    +            5       2

   ______________

(vi)

         H       T       O

                  2       5

    +            8       2

   ______________

(vii)

         H       T       O

                  7       6

    +            5       1

   ______________

(viii)

         H       T       O

                  5       1

    +            5       1

   ______________

(ix)

         H       T       O

                  9       5

    +            9       6

   ______________

(x)

         H       T       O

                  6       7

    +            5       3

   ______________

(xi)

         H       T       O

                  3       4

    +            7       9

   ______________

(xii)

         H       T       O

                  4       8

    +            8       5

   ______________

(xiii)

         H       T       O

                  9       1

    +            5       9

   ______________

(xiv)

         H       T       O

                  8       3

    +            2       8

   ______________

(xv)

         H       T       O

                  5       6

    +            7       6

   ______________

(xvi)

         H       T       O

                  4       7

    +            6       8

   ______________


Answer:

6. (i) 101

(ii) 117

(iii) 126

(iv) 139

(v) 143

(vi) 107

(vii) 127

(viii) 102

(ix) 191

(x) 120

(xi) 113

(xii) 133

(xiii) 150

(xiv) 111

(xv) 132

(xvi) 115


7. Word Problems on Adding 2-Digit Numbers:

(i) Rekha had 67 rupees. Her mother gave her 32 rupees more. How many rupees does Rekha have now?

(ii) In a zoo there were 46 monkeys and 33 deer. How many animals are there in the zoo?

(iii) Ramesh had 81 balloons. His brother Suresh gave him 17 balloons more. How many balloons does Ramesh have now?

(iv) Nairitee read 48 pages of her favourite book last week. She has 31 more pages to read until the end. How many pages does the book have?


Answer:

7. (i) ₹ 99

(ii) 79

(iii) 98

(iv) 79


2-Digit Addition Games:

8. Paste number grid of 1 to 100 in your workbook and do the given activity.

1 to 100 Number Grid

Take 2 by 2 grid, like:

2 by 2 Number Grid

Add diagonally (as indicated by arrows.)

2 by 2 Number Grid Addition Diagonally

You will get:

          4  4

     +   5  5 

          9   9

          5  4

     +   4  5 

          9   9

What do you observe?

Oh! Yes, we get same answer 99.


Repeat this activity for some other 2 by 2 grid, say

2 by 2 Grid Addition Diagonally

What answer do you get? Is it same this time also?


9. Multiple Choice Questions (MCQ) on Adding 2-Digit Numbers:

   Tick (the correct option.

(i) 6 tens 18 ones = _____ tens 8 ones.

(a) 6;     (b) 7;     (c) 8;   


(ii) There are 21 tomatoes, 24 potatoes, and 18 brinjals. How many vegetables are there in all?

(a) 63;     (b) 62;     (с) 60


(iii) There are 18 roses, 17 marigold, and 12 sunflowers in the garden. How many flower are there in all?

(a) 47;     (b) 45;     (с) 48


9. (i) (b) 7

(ii) → (a) 63

(iii)  → (a) 47

You might like these





2nd Grade Math Practice

From Adding 2-Digit Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 10, 25 11:41 AM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More