Free Subtraction Worksheets - 3 Digit - With Regrouping - Free Printable

Problem: Solve the 3-digit subtraction problems and identify the largest and smallest answers.

#### Step-by-Step Solution:

We will solve each subtraction problem step by step, starting from the ones place, then the tens place, and finally the hundreds place. Let's go through each problem:

---

#### Problem 1:
$$
382 - 145
$$
1. Subtract the ones: \(2 - 5\). Since 2 is less than 5, borrow 1 from the tens place (8 becomes 7), and 2 becomes 12.
$$
12 - 5 = 7
$$
2. Subtract the tens: \(7 - 4 = 3\).
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
382 - 145 = 237
$$

---

#### Problem 2:
$$
428 - 134
$$
1. Subtract the ones: \(8 - 4 = 4\).
2. Subtract the tens: \(2 - 3\). Since 2 is less than 3, borrow 1 from the hundreds place (4 becomes 3), and 2 becomes 12.
$$
12 - 3 = 9
$$
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
428 - 134 = 294
$$

---

#### Problem 3:
$$
505 - 165
$$
1. Subtract the ones: \(5 - 5 = 0\).
2. Subtract the tens: \(0 - 6\). Since 0 is less than 6, borrow 1 from the hundreds place (5 becomes 4), and 0 becomes 10.
$$
10 - 6 = 4
$$
3. Subtract the hundreds: \(4 - 1 = 3\).

So,
$$
505 - 165 = 340
$$

---

#### Problem 4:
$$
356 - 129
$$
1. Subtract the ones: \(6 - 9\). Since 6 is less than 9, borrow 1 from the tens place (5 becomes 4), and 6 becomes 16.
$$
16 - 9 = 7
$$
2. Subtract the tens: \(4 - 2 = 2\).
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
356 - 129 = 227
$$

---

#### Problem 5:
$$
427 - 344
$$
1. Subtract the ones: \(7 - 4 = 3\).
2. Subtract the tens: \(2 - 4\). Since 2 is less than 4, borrow 1 from the hundreds place (4 becomes 3), and 2 becomes 12.
$$
12 - 4 = 8
$$
3. Subtract the hundreds: \(3 - 3 = 0\).

So,
$$
427 - 344 = 083 \quad \text{(or simply 83)}
$$

---

#### Problem 6:
$$
358 - 126
$$
1. Subtract the ones: \(8 - 6 = 2\).
2. Subtract the tens: \(5 - 2 = 3\).
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
358 - 126 = 232
$$

---

#### Problem 7:
$$
625 - 133
$$
1. Subtract the ones: \(5 - 3 = 2\).
2. Subtract the tens: \(2 - 3\). Since 2 is less than 3, borrow 1 from the hundreds place (6 becomes 5), and 2 becomes 12.
$$
12 - 3 = 9
$$
3. Subtract the hundreds: \(5 - 1 = 4\).

So,
$$
625 - 133 = 492
$$

---

#### Problem 8:
$$
357 - 326
$$
1. Subtract the ones: \(7 - 6 = 1\).
2. Subtract the tens: \(5 - 2 = 3\).
3. Subtract the hundreds: \(3 - 3 = 0\).

So,
$$
357 - 326 = 031 \quad \text{(or simply 31)}
$$

---

#### Problem 9:
$$
253 - 129
$$
1. Subtract the ones: \(3 - 9\). Since 3 is less than 9, borrow 1 from the tens place (5 becomes 4), and 3 becomes 13.
$$
13 - 9 = 4
$$
2. Subtract the tens: \(4 - 2 = 2\).
3. Subtract the hundreds: \(2 - 1 = 1\).

So,
$$
253 - 129 = 124
$$

---

#### Problem 10:
$$
438 - 217
$$
1. Subtract the ones: \(8 - 7 = 1\).
2. Subtract the tens: \(3 - 1 = 2\).
3. Subtract the hundreds: \(4 - 2 = 2\).

So,
$$
438 - 217 = 221
$$

---

#### Problem 11:
$$
326 - 108
$$
1. Subtract the ones: \(6 - 8\). Since 6 is less than 8, borrow 1 from the tens place (2 becomes 1), and 6 becomes 16.
$$
16 - 8 = 8
$$
2. Subtract the tens: \(1 - 0 = 1\).
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
326 - 108 = 218
$$

---

#### Problem 12:
$$
352 - 236
$$
1. Subtract the ones: \(2 - 6\). Since 2 is less than 6, borrow 1 from the tens place (5 becomes 4), and 2 becomes 12.
$$
12 - 6 = 6
$$
2. Subtract the tens: \(4 - 3 = 1\).
3. Subtract the hundreds: \(3 - 2 = 1\).

So,
$$
352 - 236 = 116
$$

---

#### Problem 13:
$$
163 - 118
$$
1. Subtract the ones: \(3 - 8\). Since 3 is less than 8, borrow 1 from the tens place (6 becomes 5), and 3 becomes 13.
$$
13 - 8 = 5
$$
2. Subtract the tens: \(5 - 1 = 4\).
3. Subtract the hundreds: \(1 - 1 = 0\).

So,
$$
163 - 118 = 045 \quad \text{(or simply 45)}
$$

---

#### Problem 14:
$$
528 - 66
$$
1. Subtract the ones: \(8 - 6 = 2\).
2. Subtract the tens: \(2 - 6\). Since 2 is less than 6, borrow 1 from the hundreds place (5 becomes 4), and 2 becomes 12.
$$
12 - 6 = 6
$$
3. Subtract the hundreds: \(4 - 0 = 4\).

So,
$$
528 - 66 = 462
$$

---

#### Problem 15:
$$
486 - 57
$$
1. Subtract the ones: \(6 - 7\). Since 6 is less than 7, borrow 1 from the tens place (8 becomes 7), and 6 becomes 16.
$$
16 - 7 = 9
$$
2. Subtract the tens: \(7 - 5 = 2\).
3. Subtract the hundreds: \(4 - 0 = 4\).

So,
$$
486 - 57 = 429
$$

---

#### Problem 16:
$$
355 - 229
$$
1. Subtract the ones: \(5 - 9\). Since 5 is less than 9, borrow 1 from the tens place (5 becomes 4), and 5 becomes 15.
$$
15 - 9 = 6
$$
2. Subtract the tens: \(4 - 2 = 2\).
3. Subtract the hundreds: \(3 - 2 = 1\).

So,
$$
355 - 229 = 126
$$

---

#### Problem 17:
$$
608 - 172
$$
1. Subtract the ones: \(8 - 2 = 6\).
2. Subtract the tens: \(0 - 7\). Since 0 is less than 7, borrow 1 from the hundreds place (6 becomes 5), and 0 becomes 10.
$$
10 - 7 = 3
$$
3. Subtract the hundreds: \(5 - 1 = 4\).

So,
$$
608 - 172 = 436
$$

---

#### Problem 18:
$$
379 - 118
$$
1. Subtract the ones: \(9 - 8 = 1\).
2. Subtract the tens: \(7 - 1 = 6\).
3. Subtract the hundreds: \(3 - 1 = 2\).

So,
$$
379 - 118 = 261
$$

---

#### Problem 19:
$$
349 - 156
$$
1. Subtract the ones: \(9 - 6 = 3\).
2. Subtract the tens: \(4 - 5\). Since 4 is less than 5, borrow 1 from the hundreds place (3 becomes 2), and 4 becomes 14.
$$
14 - 5 = 9
$$
3. Subtract the hundreds: \(2 - 1 = 1\).

So,
$$
349 - 156 = 193
$$

---

#### Problem 20:
$$
557 - 248
$$
1. Subtract the ones: \(7 - 8\). Since 7 is less than 8, borrow 1 from the tens place (5 becomes 4), and 7 becomes 17.
$$
17 - 8 = 9
$$
2. Subtract the tens: \(4 - 4 = 0\).
3. Subtract the hundreds: \(5 - 2 = 3\).

So,
$$
557 - 248 = 309
$$

---

Final Answers:

$$
\begin{aligned}
1) & \quad 237 \\
2) & \quad 294 \\
3) & \quad 340 \\
4) & \quad 227 \\
5) & \quad 83 \\
6) & \quad 232 \\
7) & \quad 492 \\
8) & \quad 31 \\
9) & \quad 124 \\
10) & \quad 221 \\
11) & \quad 218 \\
12) & \quad 116 \\
13) & \quad 45 \\
14) & \quad 462 \\
15) & \quad 429 \\
16) & \quad 126 \\
17) & \quad 436 \\
18) & \quad 261 \\
19) & \quad 193 \\
20) & \quad 309 \\
\end{aligned}
$$

Identify the Largest and Smallest Answers:

- Largest Answer: \(492\) (Problem 7)
- Smallest Answer: \(31\) (Problem 8)

Final Answer:

$$
\boxed{492 \text{ (largest)}, 31 \text{ (smallest)}}
$$