Here we will learn 2-digit numbers subtraction using expanded form.
Express each number in expanded form, then subtract the ones and tens place.
Let's try to solve the following example:
Subtraction of 2-Digit Numbers with Regrouping:
1. Subtract 45 from 72.
Solution:
First we need to express the number 45 and 72 in expanded form.
Expanded form of 45
45 = 4 tens + 5 ones
and
Expanded form of 72
72 = 7 tens + 2 ones
Now we subtract the expanded form of 72 and 45:
72 = 7 tens + 2 ones = 6 tens + 12 ones
- 45 = - 4 tens + 5 ones = - 4 tens + 5 ones
Difference = 2 tens + 7 ones = 27
Therefore, 72 - 45 = 27
Note: Since in ones place 5 is greater than 2 so, we regroup 7 tens + 2 ones to 6 tens 12 ones.
2. Subtract 29 from 57.
Solution:
First we need to express the number 29 and 57 in expanded form.
Expanded form of 29
29 = 2 tens + 9 ones
and
Expanded form of 57
57 = 5 tens + 7 ones
Now we subtract the expanded form of 57 and 29:
57 = 5 tens + 7 ones = 4 tens + 17 ones
- 29 = - 2 tens + 9 ones = - 2 tens + 9 ones
Difference = 2 tens + 8 ones = 28
Therefore, 57 - 29 = 28
Note: Since in ones place 9 is greater than 7 so, we regroup 5 tens + 7 ones to 4 tens 17 ones.
3. Subtract 35 from 81.
Solution:
First we need to express the number 35 and 81 in expanded form.
Expanded form of 35
35 = 3 tens + 5 ones
and
Expanded form of 81
81 = 8 tens + 1 one
Now we subtract the expanded form of 81 and 35:
81 = 8 tens + 1 one = 7 tens + 11 ones
- 35 = - 3 tens + 5 ones = - 3 tens + 5 ones
Difference = 4 tens + 6 ones = 46
Therefore, 81 - 35 = 46
Note: Since in ones place 5 is greater than 1 so, we regroup 8 tens + 1 ones to 7 tens 11 ones.
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