Subtracting 2-Digit from 3-Digit Numbers With Some Regrouping (25 ... - Free Printable
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Step-by-step solution for: Subtracting 2-Digit from 3-Digit Numbers With Some Regrouping (25 ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting 2-Digit from 3-Digit Numbers With Some Regrouping (25 ...
Problem Description:
The task involves subtracting 2-digit numbers from 3-digit numbers. Each row contains multiple subtraction problems, and the goal is to calculate the difference for each problem.
Solution Approach:
We will solve each subtraction problem step by step. Here's the breakdown:
#### Row 1:
1. 436 - 68
- Subtract the units place: \(6 - 8\). Since 6 is less than 8, borrow 1 from the tens place (3 becomes 2, and 6 becomes 16).
- \(16 - 8 = 8\).
- Subtract the tens place: \(2 - 6\). Since 2 is less than 6, borrow 1 from the hundreds place (4 becomes 3, and 2 becomes 12).
- \(12 - 6 = 6\).
- Subtract the hundreds place: \(3 - 0 = 3\).
- Result: 368.
2. 766 - 90
- Subtract the units place: \(6 - 0 = 6\).
- Subtract the tens place: \(6 - 9\). Since 6 is less than 9, borrow 1 from the hundreds place (7 becomes 6, and 6 becomes 16).
- \(16 - 9 = 7\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 676.
3. 138 - 40
- Subtract the units place: \(8 - 0 = 8\).
- Subtract the tens place: \(3 - 4\). Since 3 is less than 4, borrow 1 from the hundreds place (1 becomes 0, and 3 becomes 13).
- \(13 - 4 = 9\).
- Subtract the hundreds place: \(0 - 0 = 0\).
- Result: 98.
4. 710 - 14
- Subtract the units place: \(0 - 4\). Since 0 is less than 4, borrow 1 from the tens place (1 becomes 0, and 0 becomes 10).
- \(10 - 4 = 6\).
- Subtract the tens place: \(0 - 1 = -1\). Since 0 is less than 1, borrow 1 from the hundreds place (7 becomes 6, and 0 becomes 10).
- \(10 - 1 = 9\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 696.
5. 393 - 42
- Subtract the units place: \(3 - 2 = 1\).
- Subtract the tens place: \(9 - 4 = 5\).
- Subtract the hundreds place: \(3 - 0 = 3\).
- Result: 351.
#### Row 2:
1. 881 - 94
- Subtract the units place: \(1 - 4\). Since 1 is less than 4, borrow 1 from the tens place (8 becomes 7, and 1 becomes 11).
- \(11 - 4 = 7\).
- Subtract the tens place: \(7 - 9\). Since 7 is less than 9, borrow 1 from the hundreds place (8 becomes 7, and 7 becomes 17).
- \(17 - 9 = 8\).
- Subtract the hundreds place: \(7 - 0 = 7\).
- Result: 787.
2. 503 - 85
- Subtract the units place: \(3 - 5\). Since 3 is less than 5, borrow 1 from the tens place (0 becomes 9, and 3 becomes 13).
- \(13 - 5 = 8\).
- Subtract the tens place: \(9 - 8 = 1\).
- Subtract the hundreds place: \(5 - 0 = 5\).
- Result: 418.
3. 797 - 92
- Subtract the units place: \(7 - 2 = 5\).
- Subtract the tens place: \(9 - 9 = 0\).
- Subtract the hundreds place: \(7 - 0 = 7\).
- Result: 705.
4. 899 - 18
- Subtract the units place: \(9 - 8 = 1\).
- Subtract the tens place: \(9 - 1 = 8\).
- Subtract the hundreds place: \(8 - 0 = 8\).
- Result: 881.
5. 263 - 58
- Subtract the units place: \(3 - 8\). Since 3 is less than 8, borrow 1 from the tens place (6 becomes 5, and 3 becomes 13).
- \(13 - 8 = 5\).
- Subtract the tens place: \(5 - 5 = 0\).
- Subtract the hundreds place: \(2 - 0 = 2\).
- Result: 205.
#### Row 3:
1. 220 - 17
- Subtract the units place: \(0 - 7\). Since 0 is less than 7, borrow 1 from the tens place (2 becomes 1, and 0 becomes 10).
- \(10 - 7 = 3\).
- Subtract the tens place: \(1 - 1 = 0\).
- Subtract the hundreds place: \(2 - 0 = 2\).
- Result: 203.
2. 378 - 83
- Subtract the units place: \(8 - 3 = 5\).
- Subtract the tens place: \(7 - 8\). Since 7 is less than 8, borrow 1 from the hundreds place (3 becomes 2, and 7 becomes 17).
- \(17 - 8 = 9\).
- Subtract the hundreds place: \(2 - 0 = 2\).
- Result: 295.
3. 236 - 65
- Subtract the units place: \(6 - 5 = 1\).
- Subtract the tens place: \(3 - 6\). Since 3 is less than 6, borrow 1 from the hundreds place (2 becomes 1, and 3 becomes 13).
- \(13 - 6 = 7\).
- Subtract the hundreds place: \(1 - 0 = 1\).
- Result: 171.
4. 380 - 37
- Subtract the units place: \(0 - 7\). Since 0 is less than 7, borrow 1 from the tens place (8 becomes 7, and 0 becomes 10).
- \(10 - 7 = 3\).
- Subtract the tens place: \(7 - 3 = 4\).
- Subtract the hundreds place: \(3 - 0 = 3\).
- Result: 343.
5. 608 - 99
- Subtract the units place: \(8 - 9\). Since 8 is less than 9, borrow 1 from the tens place (0 becomes 9, and 8 becomes 18).
- \(18 - 9 = 9\).
- Subtract the tens place: \(9 - 9 = 0\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 509.
#### Row 4:
1. 520 - 15
- Subtract the units place: \(0 - 5\). Since 0 is less than 5, borrow 1 from the tens place (2 becomes 1, and 0 becomes 10).
- \(10 - 5 = 5\).
- Subtract the tens place: \(1 - 1 = 0\).
- Subtract the hundreds place: \(5 - 0 = 5\).
- Result: 505.
2. 736 - 60
- Subtract the units place: \(6 - 0 = 6\).
- Subtract the tens place: \(3 - 6\). Since 3 is less than 6, borrow 1 from the hundreds place (7 becomes 6, and 3 becomes 13).
- \(13 - 6 = 7\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 676.
3. 268 - 36
- Subtract the units place: \(8 - 6 = 2\).
- Subtract the tens place: \(6 - 3 = 3\).
- Subtract the hundreds place: \(2 - 0 = 2\).
- Result: 232.
4. 608 - 81
- Subtract the units place: \(8 - 1 = 7\).
- Subtract the tens place: \(0 - 8\). Since 0 is less than 8, borrow 1 from the hundreds place (6 becomes 5, and 0 becomes 10).
- \(10 - 8 = 2\).
- Subtract the hundreds place: \(5 - 0 = 5\).
- Result: 527.
5. 401 - 18
- Subtract the units place: \(1 - 8\). Since 1 is less than 8, borrow 1 from the tens place (0 becomes 9, and 1 becomes 11).
- \(11 - 8 = 3\).
- Subtract the tens place: \(9 - 1 = 8\).
- Subtract the hundreds place: \(4 - 0 = 4\).
- Result: 383.
#### Row 5:
1. 506 - 24
- Subtract the units place: \(6 - 4 = 2\).
- Subtract the tens place: \(0 - 2\). Since 0 is less than 2, borrow 1 from the hundreds place (5 becomes 4, and 0 becomes 10).
- \(10 - 2 = 8\).
- Subtract the hundreds place: \(4 - 0 = 4\).
- Result: 482.
2. 689 - 77
- Subtract the units place: \(9 - 7 = 2\).
- Subtract the tens place: \(8 - 7 = 1\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 612.
3. 568 - 42
- Subtract the units place: \(8 - 2 = 6\).
- Subtract the tens place: \(6 - 4 = 2\).
- Subtract the hundreds place: \(5 - 0 = 5\).
- Result: 526.
4. 783 - 98
- Subtract the units place: \(3 - 8\). Since 3 is less than 8, borrow 1 from the tens place (8 becomes 7, and 3 becomes 13).
- \(13 - 8 = 5\).
- Subtract the tens place: \(7 - 9\). Since 7 is less than 9, borrow 1 from the hundreds place (7 becomes 6, and 7 becomes 17).
- \(17 - 9 = 8\).
- Subtract the hundreds place: \(6 - 0 = 6\).
- Result: 685.
5. 808 - 53
- Subtract the units place: \(8 - 3 = 5\).
- Subtract the tens place: \(0 - 5\). Since 0 is less than 5, borrow 1 from the hundreds place (8 becomes 7, and 0 becomes 10).
- \(10 - 5 = 5\).
- Subtract the hundreds place: \(7 - 0 = 7\).
- Result: 755.
Final Answer:
\[
\boxed{
\begin{array}{ccccc}
368 & 676 & 98 & 696 & 351 \\
787 & 418 & 705 & 881 & 205 \\
203 & 295 & 171 & 343 & 509 \\
505 & 676 & 232 & 527 & 383 \\
482 & 612 & 526 & 685 & 755 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit subtraction worksheet with regrouping.