Multiplying Three Digit Numbers Worksheet - Free Printable

The task involves solving 12 multiplication problems where each problem requires multiplying three-digit numbers. Below, I will solve each problem step by step.

---

Problem 1: \( 563 \times 634 \)

#### Step-by-Step Solution:
1. Multiply \( 563 \) by the units digit of \( 634 \):
\[
563 \times 4 = 2252
\]

2. Multiply \( 563 \) by the tens digit of \( 634 \) (which is 3, but remember to shift one place to the left):
\[
563 \times 30 = 16890
\]

3. Multiply \( 563 \) by the hundreds digit of \( 634 \) (which is 6, but remember to shift two places to the left):
\[
563 \times 600 = 337800
\]

4. Add all the results together:
\[
2252 + 16890 + 337800 = 356942
\]

Answer:
\[
\boxed{356942}
\]

---

Problem 2: \( 700 \times 211 \)

#### Step-by-Step Solution:
1. Multiply \( 700 \) by the units digit of \( 211 \):
\[
700 \times 1 = 700
\]

2. Multiply \( 700 \) by the tens digit of \( 211 \) (which is 1, but remember to shift one place to the left):
\[
700 \times 10 = 7000
\]

3. Multiply \( 700 \) by the hundreds digit of \( 211 \) (which is 2, but remember to shift two places to the left):
\[
700 \times 200 = 140000
\]

4. Add all the results together:
\[
700 + 7000 + 140000 = 147700
\]

Answer:
\[
\boxed{147700}
\]

---

Problem 3: \( 631 \times 882 \)

#### Step-by-Step Solution:
1. Multiply \( 631 \) by the units digit of \( 882 \):
\[
631 \times 2 = 1262
\]

2. Multiply \( 631 \) by the tens digit of \( 882 \) (which is 8, but remember to shift one place to the left):
\[
631 \times 80 = 50480
\]

3. Multiply \( 631 \) by the hundreds digit of \( 882 \) (which is 8, but remember to shift two places to the left):
\[
631 \times 800 = 504800
\]

4. Add all the results together:
\[
1262 + 50480 + 504800 = 556542
\]

Answer:
\[
\boxed{556542}
\]

---

Problem 4: \( 559 \times 252 \)

#### Step-by-Step Solution:
1. Multiply \( 559 \) by the units digit of \( 252 \):
\[
559 \times 2 = 1118
\]

2. Multiply \( 559 \) by the tens digit of \( 252 \) (which is 5, but remember to shift one place to the left):
\[
559 \times 50 = 27950
\]

3. Multiply \( 559 \) by the hundreds digit of \( 252 \) (which is 2, but remember to shift two places to the left):
\[
559 \times 200 = 111800
\]

4. Add all the results together:
\[
1118 + 27950 + 111800 = 140868
\]

Answer:
\[
\boxed{140868}
\]

---

Problem 5: \( 796 \times 223 \)

#### Step-by-Step Solution:
1. Multiply \( 796 \) by the units digit of \( 223 \):
\[
796 \times 3 = 2388
\]

2. Multiply \( 796 \) by the tens digit of \( 223 \) (which is 2, but remember to shift one place to the left):
\[
796 \times 20 = 15920
\]

3. Multiply \( 796 \) by the hundreds digit of \( 223 \) (which is 2, but remember to shift two places to the left):
\[
796 \times 200 = 159200
\]

4. Add all the results together:
\[
2388 + 15920 + 159200 = 177508
\]

Answer:
\[
\boxed{177508}
\]

---

Problem 6: \( 966 \times 345 \)

#### Step-by-Step Solution:
1. Multiply \( 966 \) by the units digit of \( 345 \):
\[
966 \times 5 = 4830
\]

2. Multiply \( 966 \) by the tens digit of \( 345 \) (which is 4, but remember to shift one place to the left):
\[
966 \times 40 = 38640
\]

3. Multiply \( 966 \) by the hundreds digit of \( 345 \) (which is 3, but remember to shift two places to the left):
\[
966 \times 300 = 289800
\]

4. Add all the results together:
\[
4830 + 38640 + 289800 = 333270
\]

Answer:
\[
\boxed{333270}
\]

---

Problem 7: \( 768 \times 339 \)

#### Step-by-Step Solution:
1. Multiply \( 768 \) by the units digit of \( 339 \):
\[
768 \times 9 = 6912
\]

2. Multiply \( 768 \) by the tens digit of \( 339 \) (which is 3, but remember to shift one place to the left):
\[
768 \times 30 = 23040
\]

3. Multiply \( 768 \) by the hundreds digit of \( 339 \) (which is 3, but remember to shift two places to the left):
\[
768 \times 300 = 230400
\]

4. Add all the results together:
\[
6912 + 23040 + 230400 = 259352
\]

Answer:
\[
\boxed{259352}
\]

---

Problem 8: \( 708 \times 432 \)

#### Step-by-Step Solution:
1. Multiply \( 708 \) by the units digit of \( 432 \):
\[
708 \times 2 = 1416
\]

2. Multiply \( 708 \) by the tens digit of \( 432 \) (which is 3, but remember to shift one place to the left):
\[
708 \times 30 = 21240
\]

3. Multiply \( 708 \) by the hundreds digit of \( 432 \) (which is 4, but remember to shift two places to the left):
\[
708 \times 400 = 283200
\]

4. Add all the results together:
\[
1416 + 21240 + 283200 = 305856
\]

Answer:
\[
\boxed{305856}
\]

---

Problem 9: \( 754 \times 941 \)

#### Step-by-Step Solution:
1. Multiply \( 754 \) by the units digit of \( 941 \):
\[
754 \times 1 = 754
\]

2. Multiply \( 754 \) by the tens digit of \( 941 \) (which is 4, but remember to shift one place to the left):
\[
754 \times 40 = 30160
\]

3. Multiply \( 754 \) by the hundreds digit of \( 941 \) (which is 9, but remember to shift two places to the left):
\[
754 \times 900 = 678600
\]

4. Add all the results together:
\[
754 + 30160 + 678600 = 710514
\]

Answer:
\[
\boxed{710514}
\]

---

Problem 10: \( 213 \times 648 \)

#### Step-by-Step Solution:
1. Multiply \( 213 \) by the units digit of \( 648 \):
\[
213 \times 8 = 1704
\]

2. Multiply \( 213 \) by the tens digit of \( 648 \) (which is 4, but remember to shift one place to the left):
\[
213 \times 40 = 8520
\]

3. Multiply \( 213 \) by the hundreds digit of \( 648 \) (which is 6, but remember to shift two places to the left):
\[
213 \times 600 = 127800
\]

4. Add all the results together:
\[
1704 + 8520 + 127800 = 138024
\]

Answer:
\[
\boxed{138024}
\]

---

Problem 11: \( 976 \times 467 \)

#### Step-by-Step Solution:
1. Multiply \( 976 \) by the units digit of \( 467 \):
\[
976 \times 7 = 6832
\]

2. Multiply \( 976 \) by the tens digit of \( 467 \) (which is 6, but remember to shift one place to the left):
\[
976 \times 60 = 58560
\]

3. Multiply \( 976 \) by the hundreds digit of \( 467 \) (which is 4, but remember to shift two places to the left):
\[
976 \times 400 = 390400
\]

4. Add all the results together:
\[
6832 + 58560 + 390400 = 455792
\]

Answer:
\[
\boxed{455792}
\]

---

Problem 12: \( 895 \times 221 \)

#### Step-by-Step Solution:
1. Multiply \( 895 \) by the units digit of \( 221 \):
\[
895 \times 1 = 895
\]

2. Multiply \( 895 \) by the tens digit of \( 221 \) (which is 2, but remember to shift one place to the left):
\[
895 \times 20 = 17900
\]

3. Multiply \( 895 \) by the hundreds digit of \( 221 \) (which is 2, but remember to shift two places to the left):
\[
895 \times 200 = 179000
\]

4. Add all the results together:
\[
895 + 17900 + 179000 = 197795
\]

Answer:
\[
\boxed{197795}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 356942 & 2. & 147700 \\
3. & 556542 & 4. & 140868 \\
5. & 177508 & 6. & 333270 \\
7. & 259352 & 8. & 305856 \\
9. & 710514 & 10. & 138024 \\
11. & 455792 & 12. & 197795 \\
\end{array}
}
\]