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.

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.
 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.

Answer: 22 + 36 = 58

2. 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. (ii) Add first the ones' place digits. (6 + 1 = 7). (iii) Then add the tens' place digits. (2 + 4 = 6). (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.

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

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

4. Let us now consider addition of 3 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.
 (ii) Add the tens and write in the tens place. 1 ten + 1 ten + 5 tens = 7 tens.

Answer: 12 + 14 + 53 = 79

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

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

2. (i) 68

(ii) 98

(iii) 99

(iv) 66

(v) 98

(vi) 78

(vii) 79

(viii) 98

(ix) 89

(x) 65

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