Addition of Two-Digit Numbers Without Regrouping
An example of addition without regrouping is 53 + 26. We will give and explain two different methods for this and you may choose to use whichever method is most comfortable for you.
Method 1: This method has 4 steps.
1. Split both numbers into tens and ones digits.
53 = 5 tens + 3 ones
53 = 50 + 3
26 = 2 tens + 6 ones
26 = 20 + 6
2. Add the tens digits of both numbers.
50 + 20 = 70
3. Add the ones digits of both numbers.
3 + 6 = 9
4. Now combine the tens and ones digits to get the answer, called the sum.
70 + 9 = 79
So, 53 + 26 = 79.
Practice these problems using method 1;
Practice 1:
64 + 12
Split the numbers into tens and ones. 64 = 60 + 4
12 = (10) + (2)
Add the tens 60 + (10) = (70)
Add the ones 4 + (2) = (6)
Add the tens and ones. (70) + (6) = (76)
Practice 2:
46 + 32
46 = 40 + (6)
32 = (30) + 2
40 + (30) = (70)
(6) + 2 = (8)
(70) + (8) = (78)
Solve these mentally:
1. 34 + 61
2. 48 + 21
3. 51 + 24
4. 72 + 14
5. 53 + 44
6. 37 + 12
Method 2: This method has 3 steps.
1. Split one of the addends into the tens digit plus the ones digit.
26 = 2 tens + 6 ones
26 = 20 + 6
2. Add the tens to the other addend.
53 + 20 = 73
3. Now add the ones to get the final sum.
73 + 6 = 79
Practice these problems using method 2;
Practice 1:
73 + 21
Split the second addend into tens and ones. 21 = (20) + 1
Add the ten to the first addend 73 + (20) = (93)
Combine (93) + (1) = (94)
Practice 2:
36 + 43
43 = (40) + (3)
36 + (40) = (76)
(76) + (3) = (79)
Solve these mentally:
1. 26 + 61
2. 73 + 26
3. 35 + 42
4. 47 + 51
5. 55 + 34
6. 63 + 12 | 
