Subtract Two 2-Digit Numbers with Regrouping: Vertical Subtraction - Free Printable

Problem Description:

The task involves subtracting two-digit numbers from other two-digit numbers. The worksheet provides a series of subtraction problems, and the goal is to calculate each difference.

Solution Approach:

We will solve each subtraction problem step by step. Here are the steps for solving a subtraction problem:

1. Align the numbers: Ensure the digits are aligned by place value (ones and tens).
2. Subtract the ones place: Subtract the digit in the ones place of the bottom number from the digit in the ones place of the top number.
3. Subtract the tens place: Subtract the digit in the tens place of the bottom number from the digit in the tens place of the top number.
4. Borrow if necessary: If the digit in the ones place of the top number is smaller than the digit in the ones place of the bottom number, borrow 1 from the tens place of the top number.

Detailed Solutions:

#### First Row:
1. \( 13 - 12 \):
- Ones place: \( 3 - 2 = 1 \)
- Tens place: \( 1 - 1 = 0 \)
- Result: \( 1 \)

2. \( 79 - 61 \):
- Ones place: \( 9 - 1 = 8 \)
- Tens place: \( 7 - 6 = 1 \)
- Result: \( 18 \)

3. \( 62 - 34 \):
- Ones place: \( 2 < 4 \), so borrow 1 from the tens place.
- New ones place: \( 12 - 4 = 8 \)
- New tens place: \( 5 - 3 = 2 \)
- Result: \( 28 \)

4. \( 37 - 32 \):
- Ones place: \( 7 - 2 = 5 \)
- Tens place: \( 3 - 3 = 0 \)
- Result: \( 5 \)

5. \( 44 - 22 \):
- Ones place: \( 4 - 2 = 2 \)
- Tens place: \( 4 - 2 = 2 \)
- Result: \( 22 \)

#### Second Row:
1. \( 70 - 63 \):
- Ones place: \( 0 < 3 \), so borrow 1 from the tens place.
- New ones place: \( 10 - 3 = 7 \)
- New tens place: \( 6 - 6 = 0 \)
- Result: \( 7 \)

2. \( 54 - 45 \):
- Ones place: \( 4 < 5 \), so borrow 1 from the tens place.
- New ones place: \( 14 - 5 = 9 \)
- New tens place: \( 4 - 4 = 0 \)
- Result: \( 9 \)

3. \( 84 - 79 \):
- Ones place: \( 4 < 9 \), so borrow 1 from the tens place.
- New ones place: \( 14 - 9 = 5 \)
- New tens place: \( 7 - 7 = 0 \)
- Result: \( 5 \)

4. \( 45 - 11 \):
- Ones place: \( 5 - 1 = 4 \)
- Tens place: \( 4 - 1 = 3 \)
- Result: \( 34 \)

5. \( 96 - 67 \):
- Ones place: \( 6 < 7 \), so borrow 1 from the tens place.
- New ones place: \( 16 - 7 = 9 \)
- New tens place: \( 8 - 6 = 2 \)
- Result: \( 29 \)

#### Third Row:
1. \( 45 - 29 \):
- Ones place: \( 5 < 9 \), so borrow 1 from the tens place.
- New ones place: \( 15 - 9 = 6 \)
- New tens place: \( 3 - 2 = 1 \)
- Result: \( 16 \)

2. \( 33 - 19 \):
- Ones place: \( 3 < 9 \), so borrow 1 from the tens place.
- New ones place: \( 13 - 9 = 4 \)
- New tens place: \( 2 - 1 = 1 \)
- Result: \( 14 \)

3. \( 37 - 20 \):
- Ones place: \( 7 - 0 = 7 \)
- Tens place: \( 3 - 2 = 1 \)
- Result: \( 17 \)

4. \( 84 - 83 \):
- Ones place: \( 4 - 3 = 1 \)
- Tens place: \( 8 - 8 = 0 \)
- Result: \( 1 \)

5. \( 70 - 47 \):
- Ones place: \( 0 < 7 \), so borrow 1 from the tens place.
- New ones place: \( 10 - 7 = 3 \)
- New tens place: \( 6 - 4 = 2 \)
- Result: \( 23 \)

#### Fourth Row:
1. \( 19 - 12 \):
- Ones place: \( 9 - 2 = 7 \)
- Tens place: \( 1 - 1 = 0 \)
- Result: \( 7 \)

2. \( 21 - 18 \):
- Ones place: \( 1 < 8 \), so borrow 1 from the tens place.
- New ones place: \( 11 - 8 = 3 \)
- New tens place: \( 1 - 1 = 0 \)
- Result: \( 3 \)

3. \( 53 - 51 \):
- Ones place: \( 3 - 1 = 2 \)
- Tens place: \( 5 - 5 = 0 \)
- Result: \( 2 \)

4. \( 97 - 69 \):
- Ones place: \( 7 < 9 \), so borrow 1 from the tens place.
- New ones place: \( 17 - 9 = 8 \)
- New tens place: \( 8 - 6 = 2 \)
- Result: \( 28 \)

5. \( 54 - 24 \):
- Ones place: \( 4 - 4 = 0 \)
- Tens place: \( 5 - 2 = 3 \)
- Result: \( 30 \)

#### Fifth Row:
1. \( 27 - 13 \):
- Ones place: \( 7 - 3 = 4 \)
- Tens place: \( 2 - 1 = 1 \)
- Result: \( 14 \)

2. \( 48 - 15 \):
- Ones place: \( 8 - 5 = 3 \)
- Tens place: \( 4 - 1 = 3 \)
- Result: \( 33 \)

3. \( 41 - 40 \):
- Ones place: \( 1 - 0 = 1 \)
- Tens place: \( 4 - 4 = 0 \)
- Result: \( 1 \)

4. \( 22 - 21 \):
- Ones place: \( 2 - 1 = 1 \)
- Tens place: \( 2 - 2 = 0 \)
- Result: \( 1 \)

5. \( 51 - 27 \):
- Ones place: \( 1 < 7 \), so borrow 1 from the tens place.
- New ones place: \( 11 - 7 = 4 \)
- New tens place: \( 4 - 2 = 2 \)
- Result: \( 24 \)

Final Answers:

\[
\begin{array}{ccccc}
1 & 18 & 28 & 5 & 22 \\
7 & 9 & 5 & 34 & 29 \\
16 & 14 & 17 & 1 & 23 \\
7 & 3 & 2 & 28 & 30 \\
14 & 33 & 1 & 1 & 24 \\
\end{array}
\]

\boxed{
\begin{array}{ccccc}
1 & 18 & 28 & 5 & 22 \\
7 & 9 & 5 & 34 & 29 \\
16 & 14 & 17 & 1 & 23 \\
7 & 3 & 2 & 28 & 30 \\
14 & 33 & 1 & 1 & 24 \\
\end{array}
}