Grade 5 Multiplication Worksheets | Free Printables | Worksheets - Free Printable

The task involves solving multiplication problems using the column method. Below, I will solve each problem step by step.

---

Problem 1: \( 428 \times 77 \)

#### Step-by-Step Solution:
1. Multiply \( 428 \) by \( 7 \):
\[
428 \times 7 = 2996
\]
Write this result as:
\[
\begin{array}{r}
428 \\
\times 77 \\
\hline
2996 \\
\end{array}
\]

2. Multiply \( 428 \) by \( 70 \) (which is the same as multiplying by \( 7 \) and then shifting one place to the left):
\[
428 \times 70 = 29960
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
428 \\
\times 77 \\
\hline
2996 \\
29960 \\
\hline
\end{array}
\]

3. Add the two products:
\[
2996 + 29960 = 32956
\]

#### Final Answer:
\[
\boxed{32956}
\]

---

Problem 2: \( 864 \times 56 \)

#### Step-by-Step Solution:
1. Multiply \( 864 \) by \( 6 \):
\[
864 \times 6 = 5184
\]
Write this result as:
\[
\begin{array}{r}
864 \\
\times 56 \\
\hline
5184 \\
\end{array}
\]

2. Multiply \( 864 \) by \( 50 \) (which is the same as multiplying by \( 5 \) and then shifting one place to the left):
\[
864 \times 50 = 43200
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
864 \\
\times 56 \\
\hline
5184 \\
43200 \\
\hline
\end{array}
\]

3. Add the two products:
\[
5184 + 43200 = 48384
\]

#### Final Answer:
\[
\boxed{48384}
\]

---

Problem 3: \( 744 \times 94 \)

#### Step-by-Step Solution:
1. Multiply \( 744 \) by \( 4 \):
\[
744 \times 4 = 2976
\]
Write this result as:
\[
\begin{array}{r}
744 \\
\times 94 \\
\hline
2976 \\
\end{array}
\]

2. Multiply \( 744 \) by \( 90 \) (which is the same as multiplying by \( 9 \) and then shifting one place to the left):
\[
744 \times 90 = 66960
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
744 \\
\times 94 \\
\hline
2976 \\
66960 \\
\hline
\end{array}
\]

3. Add the two products:
\[
2976 + 66960 = 69936
\]

#### Final Answer:
\[
\boxed{69936}
\]

---

Problem 4: \( 515 \times 73 \)

#### Step-by-Step Solution:
1. Multiply \( 515 \) by \( 3 \):
\[
515 \times 3 = 1545
\]
Write this result as:
\[
\begin{array}{r}
515 \\
\times 73 \\
\hline
1545 \\
\end{array}
\]

2. Multiply \( 515 \) by \( 70 \) (which is the same as multiplying by \( 7 \) and then shifting one place to the left):
\[
515 \times 70 = 36050
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
515 \\
\times 73 \\
\hline
1545 \\
36050 \\
\hline
\end{array}
\]

3. Add the two products:
\[
1545 + 36050 = 37595
\]

#### Final Answer:
\[
\boxed{37595}
\]

---

Problem 5: \( 763 \times 39 \)

#### Step-by-Step Solution:
1. Multiply \( 763 \) by \( 9 \):
\[
763 \times 9 = 6867
\]
Write this result as:
\[
\begin{array}{r}
763 \\
\times 39 \\
\hline
6867 \\
\end{array}
\]

2. Multiply \( 763 \) by \( 30 \) (which is the same as multiplying by \( 3 \) and then shifting one place to the left):
\[
763 \times 30 = 22890
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
763 \\
\times 39 \\
\hline
6867 \\
22890 \\
\hline
\end{array}
\]

3. Add the two products:
\[
6867 + 22890 = 29757
\]

#### Final Answer:
\[
\boxed{29757}
\]

---

Problem 6: \( 984 \times 46 \)

#### Step-by-Step Solution:
1. Multiply \( 984 \) by \( 6 \):
\[
984 \times 6 = 5904
\]
Write this result as:
\[
\begin{array}{r}
984 \\
\times 46 \\
\hline
5904 \\
\end{array}
\]

2. Multiply \( 984 \) by \( 40 \) (which is the same as multiplying by \( 4 \) and then shifting one place to the left):
\[
984 \times 40 = 39360
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
984 \\
\times 46 \\
\hline
5904 \\
39360 \\
\hline
\end{array}
\]

3. Add the two products:
\[
5904 + 39360 = 45264
\]

#### Final Answer:
\[
\boxed{45264}
\]

---

Problem 7: \( 476 \times 88 \)

#### Step-by-Step Solution:
1. Multiply \( 476 \) by \( 8 \):
\[
476 \times 8 = 3808
\]
Write this result as:
\[
\begin{array}{r}
476 \\
\times 88 \\
\hline
3808 \\
\end{array}
\]

2. Multiply \( 476 \) by \( 80 \) (which is the same as multiplying by \( 8 \) and then shifting one place to the left):
\[
476 \times 80 = 38080
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
476 \\
\times 88 \\
\hline
3808 \\
38080 \\
\hline
\end{array}
\]

3. Add the two products:
\[
3808 + 38080 = 41888
\]

#### Final Answer:
\[
\boxed{41888}
\]

---

Problem 8: \( 417 \times 62 \)

#### Step-by-Step Solution:
1. Multiply \( 417 \) by \( 2 \):
\[
417 \times 2 = 834
\]
Write this result as:
\[
\begin{array}{r}
417 \\
\times 62 \\
\hline
834 \\
\end{array}
\]

2. Multiply \( 417 \) by \( 60 \) (which is the same as multiplying by \( 6 \) and then shifting one place to the left):
\[
417 \times 60 = 25020
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
417 \\
\times 62 \\
\hline
834 \\
25020 \\
\hline
\end{array}
\]

3. Add the two products:
\[
834 + 25020 = 25854
\]

#### Final Answer:
\[
\boxed{25854}
\]

---

Problem 9: \( 763 \times 22 \)

#### Step-by-Step Solution:
1. Multiply \( 763 \) by \( 2 \):
\[
763 \times 2 = 1526
\]
Write this result as:
\[
\begin{array}{r}
763 \\
\times 22 \\
\hline
1526 \\
\end{array}
\]

2. Multiply \( 763 \) by \( 20 \) (which is the same as multiplying by \( 2 \) and then shifting one place to the left):
\[
763 \times 20 = 15260
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
763 \\
\times 22 \\
\hline
1526 \\
15260 \\
\hline
\end{array}
\]

3. Add the two products:
\[
1526 + 15260 = 16786
\]

#### Final Answer:
\[
\boxed{16786}
\]

---

Problem 10: \( 427 \times 59 \)

#### Step-by-Step Solution:
1. Multiply \( 427 \) by \( 9 \):
\[
427 \times 9 = 3843
\]
Write this result as:
\[
\begin{array}{r}
427 \\
\times 59 \\
\hline
3843 \\
\end{array}
\]

2. Multiply \( 427 \) by \( 50 \) (which is the same as multiplying by \( 5 \) and then shifting one place to the left):
\[
427 \times 50 = 21350
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
427 \\
\times 59 \\
\hline
3843 \\
21350 \\
\hline
\end{array}
\]

3. Add the two products:
\[
3843 + 21350 = 25193
\]

#### Final Answer:
\[
\boxed{25193}
\]

---

Problem 11: \( 637 \times 55 \)

#### Step-by-Step Solution:
1. Multiply \( 637 \) by \( 5 \):
\[
637 \times 5 = 3185
\]
Write this result as:
\[
\begin{array}{r}
637 \\
\times 55 \\
\hline
3185 \\
\end{array}
\]

2. Multiply \( 637 \) by \( 50 \) (which is the same as multiplying by \( 5 \) and then shifting one place to the left):
\[
637 \times 50 = 31850
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
637 \\
\times 55 \\
\hline
3185 \\
31850 \\
\hline
\end{array}
\]

3. Add the two products:
\[
3185 + 31850 = 35035
\]

#### Final Answer:
\[
\boxed{35035}
\]

---

Problem 12: \( 674 \times 49 \)

#### Step-by-Step Solution:
1. Multiply \( 674 \) by \( 9 \):
\[
674 \times 9 = 6066
\]
Write this result as:
\[
\begin{array}{r}
674 \\
\times 49 \\
\hline
6066 \\
\end{array}
\]

2. Multiply \( 674 \) by \( 40 \) (which is the same as multiplying by \( 4 \) and then shifting one place to the left):
\[
674 \times 40 = 26960
\]
Write this result below the first product, shifted one place to the left:
\[
\begin{array}{r}
674 \\
\times 49 \\
\hline
6066 \\
26960 \\
\hline
\end{array}
\]

3. Add the two products:
\[
6066 + 26960 = 33026
\]

#### Final Answer:
\[
\boxed{33026}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 32956 & 2. & 48384 \\
3. & 69936 & 4. & 37595 \\
5. & 29757 & 6. & 45264 \\
7. & 41888 & 8. & 25854 \\
9. & 16786 & 10. & 25193 \\
11. & 35035 & 12. & 33026 \\
\end{array}
}
\]