Subtract Two 2-Digit Numbers with Regrouping: Vertical Subtraction ... - Free Printable
Educational worksheet: Subtract Two 2-Digit Numbers with Regrouping: Vertical Subtraction .... Download and print for classroom or home learning activities.
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Step-by-step solution for: Subtract Two 2-Digit Numbers with Regrouping: Vertical Subtraction ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtract Two 2-Digit Numbers with Regrouping: Vertical Subtraction ...
The task involves subtracting two 2-digit numbers with regrouping. Let's solve each problem step by step.
1. Subtract the ones place: \( 2 - 4 \). Since 2 is less than 4, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 12 - 4 = 8 \).
2. Subtract the tens place: \( 5 - 5 = 0 \).
3. Result: \( 62 - 54 = 8 \).
1. Subtract the ones place: \( 6 - 7 \). Since 6 is less than 7, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 16 - 7 = 9 \).
2. Subtract the tens place: \( 6 - 3 = 3 \).
3. Result: \( 76 - 37 = 39 \).
1. Subtract the ones place: \( 5 - 8 \). Since 5 is less than 8, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 15 - 8 = 7 \).
2. Subtract the tens place: \( 6 - 3 = 3 \).
3. Result: \( 75 - 38 = 37 \).
1. Subtract the ones place: \( 1 - 4 \). Since 1 is less than 4, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 11 - 4 = 7 \).
2. Subtract the tens place: \( 8 - 7 = 1 \).
3. Result: \( 91 - 74 = 17 \).
1. Subtract the ones place: \( 7 - 9 \). Since 7 is less than 9, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 17 - 9 = 8 \).
2. Subtract the tens place: \( 2 - 1 = 1 \).
3. Result: \( 37 - 19 = 18 \).
1. Subtract the ones place: \( 5 - 9 \). Since 5 is less than 9, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 15 - 9 = 6 \).
2. Subtract the tens place: \( 8 - 5 = 3 \).
3. Result: \( 95 - 59 = 36 \).
1. Subtract the ones place: \( 2 - 8 \). Since 2 is less than 8, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 12 - 8 = 4 \).
2. Subtract the tens place: \( 8 - 1 = 7 \).
3. Result: \( 92 - 18 = 74 \).
1. Subtract the ones place: \( 6 - 7 \). Since 6 is less than 7, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 16 - 7 = 9 \).
2. Subtract the tens place: \( 5 - 5 = 0 \).
3. Result: \( 66 - 57 = 9 \).
1. Subtract the ones place: \( 4 - 7 \). Since 4 is less than 7, we need to regroup.
- Borrow 1 from the tens place (8 becomes 7).
- The ones place now becomes \( 14 - 7 = 7 \).
2. Subtract the tens place: \( 7 - 6 = 1 \).
3. Result: \( 84 - 67 = 17 \).
1. Subtract the ones place: \( 0 - 1 \). Since 0 is less than 1, we need to regroup.
- Borrow 1 from the tens place (4 becomes 3).
- The ones place now becomes \( 10 - 1 = 9 \).
2. Subtract the tens place: \( 3 - 2 = 1 \).
3. Result: \( 40 - 21 = 19 \).
1. Subtract the ones place: \( 5 - 9 \). Since 5 is less than 9, we need to regroup.
- Borrow 1 from the tens place (8 becomes 7).
- The ones place now becomes \( 15 - 9 = 6 \).
2. Subtract the tens place: \( 7 - 7 = 0 \).
3. Result: \( 85 - 79 = 6 \).
1. Subtract the ones place: \( 0 - 1 \). Since 0 is less than 1, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 10 - 1 = 9 \).
2. Subtract the tens place: \( 2 - 1 = 1 \).
3. Result: \( 30 - 11 = 19 \).
1. Subtract the ones place: \( 4 - 6 \). Since 4 is less than 6, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 14 - 6 = 8 \).
2. Subtract the tens place: \( 8 - 5 = 3 \).
3. Result: \( 94 - 56 = 38 \).
1. Subtract the ones place: \( 1 - 4 \). Since 1 is less than 4, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 11 - 4 = 7 \).
2. Subtract the tens place: \( 2 - 2 = 0 \).
3. Result: \( 31 - 24 = 7 \).
1. Subtract the ones place: \( 1 - 3 \). Since 1 is less than 3, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 11 - 3 = 8 \).
2. Subtract the tens place: \( 5 - 1 = 4 \).
3. Result: \( 61 - 13 = 48 \).
1. Subtract the ones place: \( 7 - 9 \). Since 7 is less than 9, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 17 - 9 = 8 \).
2. Subtract the tens place: \( 6 - 4 = 2 \).
3. Result: \( 77 - 49 = 28 \).
\[
\begin{array}{cccc}
62 - 54 = 8 & 76 - 37 = 39 & 75 - 38 = 37 & 91 - 74 = 17 \\
37 - 19 = 18 & 95 - 59 = 36 & 92 - 18 = 74 & 66 - 57 = 9 \\
84 - 67 = 17 & 40 - 21 = 19 & 85 - 79 = 6 & 30 - 11 = 19 \\
94 - 56 = 38 & 31 - 24 = 7 & 61 - 13 = 48 & 77 - 49 = 28 \\
\end{array}
\]
\boxed{
\begin{array}{cccc}
8 & 39 & 37 & 17 \\
18 & 36 & 74 & 9 \\
17 & 19 & 6 & 19 \\
38 & 7 & 48 & 28 \\
\end{array}
}
Problem 1: \( 62 - 54 \)
1. Subtract the ones place: \( 2 - 4 \). Since 2 is less than 4, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 12 - 4 = 8 \).
2. Subtract the tens place: \( 5 - 5 = 0 \).
3. Result: \( 62 - 54 = 8 \).
Problem 2: \( 76 - 37 \)
1. Subtract the ones place: \( 6 - 7 \). Since 6 is less than 7, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 16 - 7 = 9 \).
2. Subtract the tens place: \( 6 - 3 = 3 \).
3. Result: \( 76 - 37 = 39 \).
Problem 3: \( 75 - 38 \)
1. Subtract the ones place: \( 5 - 8 \). Since 5 is less than 8, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 15 - 8 = 7 \).
2. Subtract the tens place: \( 6 - 3 = 3 \).
3. Result: \( 75 - 38 = 37 \).
Problem 4: \( 91 - 74 \)
1. Subtract the ones place: \( 1 - 4 \). Since 1 is less than 4, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 11 - 4 = 7 \).
2. Subtract the tens place: \( 8 - 7 = 1 \).
3. Result: \( 91 - 74 = 17 \).
Problem 5: \( 37 - 19 \)
1. Subtract the ones place: \( 7 - 9 \). Since 7 is less than 9, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 17 - 9 = 8 \).
2. Subtract the tens place: \( 2 - 1 = 1 \).
3. Result: \( 37 - 19 = 18 \).
Problem 6: \( 95 - 59 \)
1. Subtract the ones place: \( 5 - 9 \). Since 5 is less than 9, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 15 - 9 = 6 \).
2. Subtract the tens place: \( 8 - 5 = 3 \).
3. Result: \( 95 - 59 = 36 \).
Problem 7: \( 92 - 18 \)
1. Subtract the ones place: \( 2 - 8 \). Since 2 is less than 8, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 12 - 8 = 4 \).
2. Subtract the tens place: \( 8 - 1 = 7 \).
3. Result: \( 92 - 18 = 74 \).
Problem 8: \( 66 - 57 \)
1. Subtract the ones place: \( 6 - 7 \). Since 6 is less than 7, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 16 - 7 = 9 \).
2. Subtract the tens place: \( 5 - 5 = 0 \).
3. Result: \( 66 - 57 = 9 \).
Problem 9: \( 84 - 67 \)
1. Subtract the ones place: \( 4 - 7 \). Since 4 is less than 7, we need to regroup.
- Borrow 1 from the tens place (8 becomes 7).
- The ones place now becomes \( 14 - 7 = 7 \).
2. Subtract the tens place: \( 7 - 6 = 1 \).
3. Result: \( 84 - 67 = 17 \).
Problem 10: \( 40 - 21 \)
1. Subtract the ones place: \( 0 - 1 \). Since 0 is less than 1, we need to regroup.
- Borrow 1 from the tens place (4 becomes 3).
- The ones place now becomes \( 10 - 1 = 9 \).
2. Subtract the tens place: \( 3 - 2 = 1 \).
3. Result: \( 40 - 21 = 19 \).
Problem 11: \( 85 - 79 \)
1. Subtract the ones place: \( 5 - 9 \). Since 5 is less than 9, we need to regroup.
- Borrow 1 from the tens place (8 becomes 7).
- The ones place now becomes \( 15 - 9 = 6 \).
2. Subtract the tens place: \( 7 - 7 = 0 \).
3. Result: \( 85 - 79 = 6 \).
Problem 12: \( 30 - 11 \)
1. Subtract the ones place: \( 0 - 1 \). Since 0 is less than 1, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 10 - 1 = 9 \).
2. Subtract the tens place: \( 2 - 1 = 1 \).
3. Result: \( 30 - 11 = 19 \).
Problem 13: \( 94 - 56 \)
1. Subtract the ones place: \( 4 - 6 \). Since 4 is less than 6, we need to regroup.
- Borrow 1 from the tens place (9 becomes 8).
- The ones place now becomes \( 14 - 6 = 8 \).
2. Subtract the tens place: \( 8 - 5 = 3 \).
3. Result: \( 94 - 56 = 38 \).
Problem 14: \( 31 - 24 \)
1. Subtract the ones place: \( 1 - 4 \). Since 1 is less than 4, we need to regroup.
- Borrow 1 from the tens place (3 becomes 2).
- The ones place now becomes \( 11 - 4 = 7 \).
2. Subtract the tens place: \( 2 - 2 = 0 \).
3. Result: \( 31 - 24 = 7 \).
Problem 15: \( 61 - 13 \)
1. Subtract the ones place: \( 1 - 3 \). Since 1 is less than 3, we need to regroup.
- Borrow 1 from the tens place (6 becomes 5).
- The ones place now becomes \( 11 - 3 = 8 \).
2. Subtract the tens place: \( 5 - 1 = 4 \).
3. Result: \( 61 - 13 = 48 \).
Problem 16: \( 77 - 49 \)
1. Subtract the ones place: \( 7 - 9 \). Since 7 is less than 9, we need to regroup.
- Borrow 1 from the tens place (7 becomes 6).
- The ones place now becomes \( 17 - 9 = 8 \).
2. Subtract the tens place: \( 6 - 4 = 2 \).
3. Result: \( 77 - 49 = 28 \).
Final Answers:
\[
\begin{array}{cccc}
62 - 54 = 8 & 76 - 37 = 39 & 75 - 38 = 37 & 91 - 74 = 17 \\
37 - 19 = 18 & 95 - 59 = 36 & 92 - 18 = 74 & 66 - 57 = 9 \\
84 - 67 = 17 & 40 - 21 = 19 & 85 - 79 = 6 & 30 - 11 = 19 \\
94 - 56 = 38 & 31 - 24 = 7 & 61 - 13 = 48 & 77 - 49 = 28 \\
\end{array}
\]
\boxed{
\begin{array}{cccc}
8 & 39 & 37 & 17 \\
18 & 36 & 74 & 9 \\
17 & 19 & 6 & 19 \\
38 & 7 & 48 & 28 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of 2 digit borrowing worksheet.