Grade 6 Multiplication Worksheets | Free Printables | Math Worksheets - Free Printable

The task involves solving column multiplication problems. Column multiplication is a method used to multiply large numbers by breaking the process into smaller, more manageable steps. Below, I will solve each problem step by step.

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Problem 1: \( 682 \times 449 \)

#### Step-by-Step Solution:
1. Multiply \( 682 \) by \( 9 \):
\[
682 \times 9 = 6138
\]
2. Multiply \( 682 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
682 \times 40 = 27280
\]
3. Multiply \( 682 \) by \( 400 \) (which is \( 4 \times 100 \)):
\[
682 \times 400 = 272800
\]
4. Add the results:
\[
6138 + 27280 + 272800 = 306218
\]

Answer:
\[
\boxed{306218}
\]

---

Problem 2: \( 945 \times 246 \)

#### Step-by-Step Solution:
1. Multiply \( 945 \) by \( 6 \):
\[
945 \times 6 = 5670
\]
2. Multiply \( 945 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
945 \times 40 = 37800
\]
3. Multiply \( 945 \) by \( 200 \) (which is \( 2 \times 100 \)):
\[
945 \times 200 = 189000
\]
4. Add the results:
\[
5670 + 37800 + 189000 = 232470
\]

Answer:
\[
\boxed{232470}
\]

---

Problem 3: \( 379 \times 527 \)

#### Step-by-Step Solution:
1. Multiply \( 379 \) by \( 7 \):
\[
379 \times 7 = 2653
\]
2. Multiply \( 379 \) by \( 20 \) (which is \( 2 \times 10 \)):
\[
379 \times 20 = 7580
\]
3. Multiply \( 379 \) by \( 500 \) (which is \( 5 \times 100 \)):
\[
379 \times 500 = 189500
\]
4. Add the results:
\[
2653 + 7580 + 189500 = 199733
\]

Answer:
\[
\boxed{199733}
\]

---

Problem 4: \( 543 \times 967 \)

#### Step-by-Step Solution:
1. Multiply \( 543 \) by \( 7 \):
\[
543 \times 7 = 3801
\]
2. Multiply \( 543 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
543 \times 60 = 32580
\]
3. Multiply \( 543 \) by \( 900 \) (which is \( 9 \times 100 \)):
\[
543 \times 900 = 488700
\]
4. Add the results:
\[
3801 + 32580 + 488700 = 525081
\]

Answer:
\[
\boxed{525081}
\]

---

Problem 5: \( 648 \times 273 \)

#### Step-by-Step Solution:
1. Multiply \( 648 \) by \( 3 \):
\[
648 \times 3 = 1944
\]
2. Multiply \( 648 \) by \( 70 \) (which is \( 7 \times 10 \)):
\[
648 \times 70 = 45360
\]
3. Multiply \( 648 \) by \( 200 \) (which is \( 2 \times 100 \)):
\[
648 \times 200 = 129600
\]
4. Add the results:
\[
1944 + 45360 + 129600 = 176904
\]

Answer:
\[
\boxed{176904}
\]

---

Problem 6: \( 994 \times 226 \)

#### Step-by-Step Solution:
1. Multiply \( 994 \) by \( 6 \):
\[
994 \times 6 = 5964
\]
2. Multiply \( 994 \) by \( 20 \) (which is \( 2 \times 10 \)):
\[
994 \times 20 = 19880
\]
3. Multiply \( 994 \) by \( 200 \) (which is \( 2 \times 100 \)):
\[
994 \times 200 = 198800
\]
4. Add the results:
\[
5964 + 19880 + 198800 = 224644
\]

Answer:
\[
\boxed{224644}
\]

---

Problem 7: \( 948 \times 343 \)

#### Step-by-Step Solution:
1. Multiply \( 948 \) by \( 3 \):
\[
948 \times 3 = 2844
\]
2. Multiply \( 948 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
948 \times 40 = 37920
\]
3. Multiply \( 948 \) by \( 300 \) (which is \( 3 \times 100 \)):
\[
948 \times 300 = 284400
\]
4. Add the results:
\[
2844 + 37920 + 284400 = 325164
\]

Answer:
\[
\boxed{325164}
\]

---

Problem 8: \( 762 \times 928 \)

#### Step-by-Step Solution:
1. Multiply \( 762 \) by \( 8 \):
\[
762 \times 8 = 6096
\]
2. Multiply \( 762 \) by \( 20 \) (which is \( 2 \times 10 \)):
\[
762 \times 20 = 15240
\]
3. Multiply \( 762 \) by \( 900 \) (which is \( 9 \times 100 \)):
\[
762 \times 900 = 685800
\]
4. Add the results:
\[
6096 + 15240 + 685800 = 707136
\]

Answer:
\[
\boxed{707136}
\]

---

Problem 9: \( 243 \times 748 \)

#### Step-by-Step Solution:
1. Multiply \( 243 \) by \( 8 \):
\[
243 \times 8 = 1944
\]
2. Multiply \( 243 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
243 \times 40 = 9720
\]
3. Multiply \( 243 \) by \( 700 \) (which is \( 7 \times 100 \)):
\[
243 \times 700 = 170100
\]
4. Add the results:
\[
1944 + 9720 + 170100 = 181764
\]

Answer:
\[
\boxed{181764}
\]

---

Problem 10: \( 562 \times 392 \)

#### Step-by-Step Solution:
1. Multiply \( 562 \) by \( 2 \):
\[
562 \times 2 = 1124
\]
2. Multiply \( 562 \) by \( 90 \) (which is \( 9 \times 10 \)):
\[
562 \times 90 = 50580
\]
3. Multiply \( 562 \) by \( 300 \) (which is \( 3 \times 100 \)):
\[
562 \times 300 = 168600
\]
4. Add the results:
\[
1124 + 50580 + 168600 = 220304
\]

Answer:
\[
\boxed{220304}
\]

---

Problem 11: \( 447 \times 826 \)

#### Step-by-Step Solution:
1. Multiply \( 447 \) by \( 6 \):
\[
447 \times 6 = 2682
\]
2. Multiply \( 447 \) by \( 20 \) (which is \( 2 \times 10 \)):
\[
447 \times 20 = 8940
\]
3. Multiply \( 447 \) by \( 800 \) (which is \( 8 \times 100 \)):
\[
447 \times 800 = 357600
\]
4. Add the results:
\[
2682 + 8940 + 357600 = 369222
\]

Answer:
\[
\boxed{369222}
\]

---

Problem 12: \( 276 \times 647 \)

#### Step-by-Step Solution:
1. Multiply \( 276 \) by \( 7 \):
\[
276 \times 7 = 1932
\]
2. Multiply \( 276 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
276 \times 40 = 11040
\]
3. Multiply \( 276 \) by \( 600 \) (which is \( 6 \times 100 \)):
\[
276 \times 600 = 165600
\]
4. Add the results:
\[
1932 + 11040 + 165600 = 178572
\]

Answer:
\[
\boxed{178572}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 306218 & 2. & 232470 \\
3. & 199733 & 4. & 525081 \\
5. & 176904 & 6. & 224644 \\
7. & 325164 & 8. & 707136 \\
9. & 181764 & 10. & 220304 \\
11. & 369222 & 12. & 178572 \\
\end{array}
}
\]