Column Multiplication Worksheet 1 - Practice multiplying two and three-digit numbers with this printable math exercise.

$Column multiplication worksheet with 12 problems for practicing multi-digit multiplication, featuring a cartoon character in a lab coat and a space for the student's name.$

Column multiplication worksheet with 12 problems for practicing multi-digit multiplication, featuring a cartoon character in a lab coat and a space for the student's name.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Math Worksheets

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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.

---

Problem 1: $ 97 \times 289 $

#### Step-by-Step Solution:
1. Multiply $ 97 $ by the units digit of $ 289 $ (which is $ 9 $):
\[
97 \times 9 = 873
\]
Write down $ 873 $.

2. Multiply $ 97 $ by the tens digit of $ 289 $ (which is $ 8 $), and shift the result one place to the left:
\[
97 \times 8 = 776
\]
Shift $ 776 $ one place to the left: $ 7760 $.

3. Multiply $ 97 $ by the hundreds digit of $ 289 $ (which is $ 2 $), and shift the result two places to the left:
\[
97 \times 2 = 194
\]
Shift $ 194 $ two places to the left: $ 19400 $.

4. Add all the results together:
\[
873 + 7760 + 19400 = 27033
\]

Answer:
\[
\boxed{27033}
\]

---

Problem 2: $ 88 \times 347 $

#### Step-by-Step Solution:
1. Multiply $ 88 $ by the units digit of $ 347 $ (which is $ 7 $):
\[
88 \times 7 = 616
\]
Write down $ 616 $.

2. Multiply $ 88 $ by the tens digit of $ 347 $ (which is $ 4 $), and shift the result one place to the left:
\[
88 \times 4 = 352
\]
Shift $ 352 $ one place to the left: $ 3520 $.

3. Multiply $ 88 $ by the hundreds digit of $ 347 $ (which is $ 3 $), and shift the result two places to the left:
\[
88 \times 3 = 264
\]
Shift $ 264 $ two places to the left: $ 26400 $.

4. Add all the results together:
\[
616 + 3520 + 26400 = 30536
\]

Answer:
\[
\boxed{30536}
\]

---

Problem 3: $ 67 \times 359 $

#### Step-by-Step Solution:
1. Multiply $ 67 $ by the units digit of $ 359 $ (which is $ 9 $):
\[
67 \times 9 = 603
\]
Write down $ 603 $.

2. Multiply $ 67 $ by the tens digit of $ 359 $ (which is $ 5 $), and shift the result one place to the left:
\[
67 \times 5 = 335
\]
Shift $ 335 $ one place to the left: $ 3350 $.

3. Multiply $ 67 $ by the hundreds digit of $ 359 $ (which is $ 3 $), and shift the result two places to the left:
\[
67 \times 3 = 201
\]
Shift $ 201 $ two places to the left: $ 20100 $.

4. Add all the results together:
\[
603 + 3350 + 20100 = 24053
\]

Answer:
\[
\boxed{24053}
\]

---

Problem 4: $ 27 \times 678 $

#### Step-by-Step Solution:
1. Multiply $ 27 $ by the units digit of $ 678 $ (which is $ 8 $):
\[
27 \times 8 = 216
\]
Write down $ 216 $.

2. Multiply $ 27 $ by the tens digit of $ 678 $ (which is $ 7 $), and shift the result one place to the left:
\[
27 \times 7 = 189
\]
Shift $ 189 $ one place to the left: $ 1890 $.

3. Multiply $ 27 $ by the hundreds digit of $ 678 $ (which is $ 6 $), and shift the result two places to the left:
\[
27 \times 6 = 162
\]
Shift $ 162 $ two places to the left: $ 16200 $.

4. Add all the results together:
\[
216 + 1890 + 16200 = 18306
\]

Answer:
\[
\boxed{18306}
\]

---

Problem 5: $ 49 \times 829 $

#### Step-by-Step Solution:
1. Multiply $ 49 $ by the units digit of $ 829 $ (which is $ 9 $):
\[
49 \times 9 = 441
\]
Write down $ 441 $.

2. Multiply $ 49 $ by the tens digit of $ 829 $ (which is $ 2 $), and shift the result one place to the left:
\[
49 \times 2 = 98
\]
Shift $ 98 $ one place to the left: $ 980 $.

3. Multiply $ 49 $ by the hundreds digit of $ 829 $ (which is $ 8 $), and shift the result two places to the left:
\[
49 \times 8 = 392
\]
Shift $ 392 $ two places to the left: $ 39200 $.

4. Add all the results together:
\[
441 + 980 + 39200 = 40621
\]

Answer:
\[
\boxed{40621}
\]

---

Problem 6: $ 36 \times 288 $

#### Step-by-Step Solution:
1. Multiply $ 36 $ by the units digit of $ 288 $ (which is $ 8 $):
\[
36 \times 8 = 288
\]
Write down $ 288 $.

2. Multiply $ 36 $ by the tens digit of $ 288 $ (which is $ 8 $), and shift the result one place to the left:
\[
36 \times 8 = 288
\]
Shift $ 288 $ one place to the left: $ 2880 $.

3. Multiply $ 36 $ by the hundreds digit of $ 288 $ (which is $ 2 $), and shift the result two places to the left:
\[
36 \times 2 = 72
\]
Shift $ 72 $ two places to the left: $ 7200 $.

4. Add all the results together:
\[
288 + 2880 + 7200 = 10368
\]

Answer:
\[
\boxed{10368}
\]

---

Problem 7: $ 29 \times 674 $

#### Step-by-Step Solution:
1. Multiply $ 29 $ by the units digit of $ 674 $ (which is $ 4 $):
\[
29 \times 4 = 116
\]
Write down $ 116 $.

2. Multiply $ 29 $ by the tens digit of $ 674 $ (which is $ 7 $), and shift the result one place to the left:
\[
29 \times 7 = 203
\]
Shift $ 203 $ one place to the left: $ 2030 $.

3. Multiply $ 29 $ by the hundreds digit of $ 674 $ (which is $ 6 $), and shift the result two places to the left:
\[
29 \times 6 = 174
\]
Shift $ 174 $ two places to the left: $ 17400 $.

4. Add all the results together:
\[
116 + 2030 + 17400 = 19546
\]

Answer:
\[
\boxed{19546}
\]

---

Problem 8: $ 86 \times 249 $

#### Step-by-Step Solution:
1. Multiply $ 86 $ by the units digit of $ 249 $ (which is $ 9 $):
\[
86 \times 9 = 774
\]
Write down $ 774 $.

2. Multiply $ 86 $ by the tens digit of $ 249 $ (which is $ 4 $), and shift the result one place to the left:
\[
86 \times 4 = 344
\]
Shift $ 344 $ one place to the left: $ 3440 $.

3. Multiply $ 86 $ by the hundreds digit of $ 249 $ (which is $ 2 $), and shift the result two places to the left:
\[
86 \times 2 = 172
\]
Shift $ 172 $ two places to the left: $ 17200 $.

4. Add all the results together:
\[
774 + 3440 + 17200 = 21414
\]

Answer:
\[
\boxed{21414}
\]

---

Problem 9: $ 85 \times 648 $

#### Step-by-Step Solution:
1. Multiply $ 85 $ by the units digit of $ 648 $ (which is $ 8 $):
\[
85 \times 8 = 680
\]
Write down $ 680 $.

2. Multiply $ 85 $ by the tens digit of $ 648 $ (which is $ 4 $), and shift the result one place to the left:
\[
85 \times 4 = 340
\]
Shift $ 340 $ one place to the left: $ 3400 $.

3. Multiply $ 85 $ by the hundreds digit of $ 648 $ (which is $ 6 $), and shift the result two places to the left:
\[
85 \times 6 = 510
\]
Shift $ 510 $ two places to the left: $ 51000 $.

4. Add all the results together:
\[
680 + 3400 + 51000 = 55080
\]

Answer:
\[
\boxed{55080}
\]

---

Problem 10: $ 76 \times 867 $

#### Step-by-Step Solution:
1. Multiply $ 76 $ by the units digit of $ 867 $ (which is $ 7 $):
\[
76 \times 7 = 532
\]
Write down $ 532 $.

2. Multiply $ 76 $ by the tens digit of $ 867 $ (which is $ 6 $), and shift the result one place to the left:
\[
76 \times 6 = 456
\]
Shift $ 456 $ one place to the left: $ 4560 $.

3. Multiply $ 76 $ by the hundreds digit of $ 867 $ (which is $ 8 $), and shift the result two places to the left:
\[
76 \times 8 = 608
\]
Shift $ 608 $ two places to the left: $ 60800 $.

4. Add all the results together:
\[
532 + 4560 + 60800 = 65892
\]

Answer:
\[
\boxed{65892}
\]

---

Problem 11: $ 93 \times 419 $

#### Step-by-Step Solution:
1. Multiply $ 93 $ by the units digit of $ 419 $ (which is $ 9 $):
\[
93 \times 9 = 837
\]
Write down $ 837 $.

2. Multiply $ 93 $ by the tens digit of $ 419 $ (which is $ 1 $), and shift the result one place to the left:
\[
93 \times 1 = 93
\]
Shift $ 93 $ one place to the left: $ 930 $.

3. Multiply $ 93 $ by the hundreds digit of $ 419 $ (which is $ 4 $), and shift the result two places to the left:
\[
93 \times 4 = 372
\]
Shift $ 372 $ two places to the left: $ 37200 $.

4. Add all the results together:
\[
837 + 930 + 37200 = 38967
\]

Answer:
\[
\boxed{38967}
\]

---

Problem 12: $ 68 \times 159 $

#### Step-by-Step Solution:
1. Multiply $ 68 $ by the units digit of $ 159 $ (which is $ 9 $):
\[
68 \times 9 = 612
\]
Write down $ 612 $.

2. Multiply $ 68 $ by the tens digit of $ 159 $ (which is $ 5 $), and shift the result one place to the left:
\[
68 \times 5 = 340
\]
Shift $ 340 $ one place to the left: $ 3400 $.

3. Multiply $ 68 $ by the hundreds digit of $ 159 $ (which is $ 1 $), and shift the result two places to the left:
\[
68 \times 1 = 68
\]
Shift $ 68 $ two places to the left: $ 6800 $.

4. Add all the results together:
\[
612 + 3400 + 6800 = 10812
\]

Answer:
\[
\boxed{10812}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 27033 & 2. & 30536 \\
3. & 24053 & 4. & 18306 \\
5. & 40621 & 6. & 10368 \\
7. & 19546 & 8. & 21414 \\
9. & 55080 & 10. & 65892 \\
11. & 38967 & 12. & 10812 \\
\end{array}
}
\]

Parent Tip: Review the logic above to help your child master the concept of 5th grade math worksheet multiplication and division.

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