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Addition of 2-Digit Numbers using Expanded Form
We will discuss about addition of 2-digit numbers with regrouping using expanded form:
Let's try to solve the following examples
1. Add 45 and 37.
Solution:
45 = 4 tens + 5 ones
+ 37 = 3 tens + 7 ones
Sum = 7 tens + 12 ones
= 7 tens + 1 ten + 2 ones
= 8 tens + 2 ones = 82
Therefore, 45 + 37 = 82
2. Add 57 and 24.
Solution:
57 = 5 tens + 7 ones
+ 24 = 2 tens + 4 ones
Sum = 7 tens + 11 ones
= 7 tens + 1 ten + 1 one
= 8 tens + 1 one = 81
Therefore, 57 + 24 = 81
3. Add 38 and 57.
Solution:
38 = 3 tens + 8 ones
+ 57 = 5 tens + 7 ones
Sum = 8 tens + 15 ones
= 8 tens + 1 ten + 5 ones
= 9 tens + 5 ones = 95
Therefore, 38 + 57 = 95
4. Add 19 and 39.
Solution:
19 = 1 ten + 9 ones
+ 39 = 3 tens + 9 ones
Sum = 4 tens + 18 ones
= 4 tens + 1 tens + 8 ones
= 5 tens + 8 ones = 58
Therefore, 19 + 39 = 58
5. Add 54 and 29.
Solution:
54 = 5 tens + 4 ones
+ 29 = 2 tens + 9 ones
Sum = 7 tens + 13 ones
= 7 tens + 1 tens + 3 ones
= 8 tens + 3 ones = 83
Therefore, 54 + 29 = 83
6. Add 67 and 23.
Solution:
67 = 6 tens + 7 ones
+ 23 = 2 tens + 3 ones
Sum = 8 tens + 10 ones
= 8 tens + 1 ten
= 9 tens = 90
Therefore, 67 + 23 = 90
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