Grade 5 Multiplication Worksheets | Free Printables | Worksheets - Free Printable
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Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Worksheets
The task involves solving multiplication problems using the column method. Below, I will solve each problem step by step.
---
#### Step 1: Multiply \( 428 \) by \( 7 \)
\[
\begin{array}{r}
428 \\
\times \phantom{0}7 \\
\hline
2996 \\
\end{array}
\]
#### Step 2: Multiply \( 428 \) by \( 70 \) (which is \( 7 \times 10 \))
\[
\begin{array}{r}
428 \\
\times 70 \\
\hline
29960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
2996 \\
+ 29960 \\
\hline
32956 \\
\end{array}
\]
Answer for Problem 1: \( 32956 \)
---
#### Step 1: Multiply \( 864 \) by \( 6 \)
\[
\begin{array}{r}
864 \\
\times \phantom{0}6 \\
\hline
5184 \\
\end{array}
\]
#### Step 2: Multiply \( 864 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
864 \\
\times 50 \\
\hline
43200 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
5184 \\
+ 43200 \\
\hline
48384 \\
\end{array}
\]
Answer for Problem 2: \( 48384 \)
---
#### Step 1: Multiply \( 744 \) by \( 4 \)
\[
\begin{array}{r}
744 \\
\times \phantom{0}4 \\
\hline
2976 \\
\end{array}
\]
#### Step 2: Multiply \( 744 \) by \( 90 \) (which is \( 9 \times 10 \))
\[
\begin{array}{r}
744 \\
\times 90 \\
\hline
66960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
2976 \\
+ 66960 \\
\hline
69936 \\
\end{array}
\]
Answer for Problem 3: \( 69936 \)
---
#### Step 1: Multiply \( 515 \) by \( 3 \)
\[
\begin{array}{r}
515 \\
\times \phantom{0}3 \\
\hline
1545 \\
\end{array}
\]
#### Step 2: Multiply \( 515 \) by \( 70 \) (which is \( 7 \times 10 \))
\[
\begin{array}{r}
515 \\
\times 70 \\
\hline
36050 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
1545 \\
+ 36050 \\
\hline
37595 \\
\end{array}
\]
Answer for Problem 4: \( 37595 \)
---
#### Step 1: Multiply \( 763 \) by \( 9 \)
\[
\begin{array}{r}
763 \\
\times \phantom{0}9 \\
\hline
6867 \\
\end{array}
\]
#### Step 2: Multiply \( 763 \) by \( 30 \) (which is \( 3 \times 10 \))
\[
\begin{array}{r}
763 \\
\times 30 \\
\hline
22890 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
6867 \\
+ 22890 \\
\hline
29757 \\
\end{array}
\]
Answer for Problem 5: \( 29757 \)
---
#### Step 1: Multiply \( 984 \) by \( 6 \)
\[
\begin{array}{r}
984 \\
\times \phantom{0}6 \\
\hline
5904 \\
\end{array}
\]
#### Step 2: Multiply \( 984 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
\begin{array}{r}
984 \\
\times 40 \\
\hline
39360 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
5904 \\
+ 39360 \\
\hline
45264 \\
\end{array}
\]
Answer for Problem 6: \( 45264 \)
---
#### Step 1: Multiply \( 476 \) by \( 8 \)
\[
\begin{array}{r}
476 \\
\times \phantom{0}8 \\
\hline
3808 \\
\end{array}
\]
#### Step 2: Multiply \( 476 \) by \( 80 \) (which is \( 8 \times 10 \))
\[
\begin{array}{r}
476 \\
\times 80 \\
\hline
38080 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3808 \\
+ 38080 \\
\hline
41888 \\
\end{array}
\]
Answer for Problem 7: \( 41888 \)
---
#### Step 1: Multiply \( 417 \) by \( 2 \)
\[
\begin{array}{r}
417 \\
\times \phantom{0}2 \\
\hline
834 \\
\end{array}
\]
#### Step 2: Multiply \( 417 \) by \( 60 \) (which is \( 6 \times 10 \))
\[
\begin{array}{r}
417 \\
\times 60 \\
\hline
25020 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
834 \\
+ 25020 \\
\hline
25854 \\
\end{array}
\]
Answer for Problem 8: \( 25854 \)
---
#### Step 1: Multiply \( 763 \) by \( 2 \)
\[
\begin{array}{r}
763 \\
\times \phantom{0}2 \\
\hline
1526 \\
\end{array}
\]
#### Step 2: Multiply \( 763 \) by \( 20 \) (which is \( 2 \times 10 \))
\[
\begin{array}{r}
763 \\
\times 20 \\
\hline
15260 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
1526 \\
+ 15260 \\
\hline
16786 \\
\end{array}
\]
Answer for Problem 9: \( 16786 \)
---
#### Step 1: Multiply \( 427 \) by \( 9 \)
\[
\begin{array}{r}
427 \\
\times \phantom{0}9 \\
\hline
3843 \\
\end{array}
\]
#### Step 2: Multiply \( 427 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
427 \\
\times 50 \\
\hline
21350 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3843 \\
+ 21350 \\
\hline
25193 \\
\end{array}
\]
Answer for Problem 10: \( 25193 \)
---
#### Step 1: Multiply \( 637 \) by \( 5 \)
\[
\begin{array}{r}
637 \\
\times \phantom{0}5 \\
\hline
3185 \\
\end{array}
\]
#### Step 2: Multiply \( 637 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
637 \\
\times 50 \\
\hline
31850 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3185 \\
+ 31850 \\
\hline
35035 \\
\end{array}
\]
Answer for Problem 11: \( 35035 \)
---
#### Step 1: Multiply \( 674 \) by \( 9 \)
\[
\begin{array}{r}
674 \\
\times \phantom{0}9 \\
\hline
6066 \\
\end{array}
\]
#### Step 2: Multiply \( 674 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
\begin{array}{r}
674 \\
\times 40 \\
\hline
26960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
6066 \\
+ 26960 \\
\hline
33026 \\
\end{array}
\]
Answer for Problem 12: \( 33026 \)
---
\[
\boxed{
\begin{array}{ll}
1. & 32956 \\
2. & 48384 \\
3. & 69936 \\
4. & 37595 \\
5. & 29757 \\
6. & 45264 \\
7. & 41888 \\
8. & 25854 \\
9. & 16786 \\
10. & 25193 \\
11. & 35035 \\
12. & 33026 \\
\end{array}
}
\]
---
Problem 1: \( 428 \times 77 \)
#### Step 1: Multiply \( 428 \) by \( 7 \)
\[
\begin{array}{r}
428 \\
\times \phantom{0}7 \\
\hline
2996 \\
\end{array}
\]
#### Step 2: Multiply \( 428 \) by \( 70 \) (which is \( 7 \times 10 \))
\[
\begin{array}{r}
428 \\
\times 70 \\
\hline
29960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
2996 \\
+ 29960 \\
\hline
32956 \\
\end{array}
\]
Answer for Problem 1: \( 32956 \)
---
Problem 2: \( 864 \times 56 \)
#### Step 1: Multiply \( 864 \) by \( 6 \)
\[
\begin{array}{r}
864 \\
\times \phantom{0}6 \\
\hline
5184 \\
\end{array}
\]
#### Step 2: Multiply \( 864 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
864 \\
\times 50 \\
\hline
43200 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
5184 \\
+ 43200 \\
\hline
48384 \\
\end{array}
\]
Answer for Problem 2: \( 48384 \)
---
Problem 3: \( 744 \times 94 \)
#### Step 1: Multiply \( 744 \) by \( 4 \)
\[
\begin{array}{r}
744 \\
\times \phantom{0}4 \\
\hline
2976 \\
\end{array}
\]
#### Step 2: Multiply \( 744 \) by \( 90 \) (which is \( 9 \times 10 \))
\[
\begin{array}{r}
744 \\
\times 90 \\
\hline
66960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
2976 \\
+ 66960 \\
\hline
69936 \\
\end{array}
\]
Answer for Problem 3: \( 69936 \)
---
Problem 4: \( 515 \times 73 \)
#### Step 1: Multiply \( 515 \) by \( 3 \)
\[
\begin{array}{r}
515 \\
\times \phantom{0}3 \\
\hline
1545 \\
\end{array}
\]
#### Step 2: Multiply \( 515 \) by \( 70 \) (which is \( 7 \times 10 \))
\[
\begin{array}{r}
515 \\
\times 70 \\
\hline
36050 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
1545 \\
+ 36050 \\
\hline
37595 \\
\end{array}
\]
Answer for Problem 4: \( 37595 \)
---
Problem 5: \( 763 \times 39 \)
#### Step 1: Multiply \( 763 \) by \( 9 \)
\[
\begin{array}{r}
763 \\
\times \phantom{0}9 \\
\hline
6867 \\
\end{array}
\]
#### Step 2: Multiply \( 763 \) by \( 30 \) (which is \( 3 \times 10 \))
\[
\begin{array}{r}
763 \\
\times 30 \\
\hline
22890 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
6867 \\
+ 22890 \\
\hline
29757 \\
\end{array}
\]
Answer for Problem 5: \( 29757 \)
---
Problem 6: \( 984 \times 46 \)
#### Step 1: Multiply \( 984 \) by \( 6 \)
\[
\begin{array}{r}
984 \\
\times \phantom{0}6 \\
\hline
5904 \\
\end{array}
\]
#### Step 2: Multiply \( 984 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
\begin{array}{r}
984 \\
\times 40 \\
\hline
39360 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
5904 \\
+ 39360 \\
\hline
45264 \\
\end{array}
\]
Answer for Problem 6: \( 45264 \)
---
Problem 7: \( 476 \times 88 \)
#### Step 1: Multiply \( 476 \) by \( 8 \)
\[
\begin{array}{r}
476 \\
\times \phantom{0}8 \\
\hline
3808 \\
\end{array}
\]
#### Step 2: Multiply \( 476 \) by \( 80 \) (which is \( 8 \times 10 \))
\[
\begin{array}{r}
476 \\
\times 80 \\
\hline
38080 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3808 \\
+ 38080 \\
\hline
41888 \\
\end{array}
\]
Answer for Problem 7: \( 41888 \)
---
Problem 8: \( 417 \times 62 \)
#### Step 1: Multiply \( 417 \) by \( 2 \)
\[
\begin{array}{r}
417 \\
\times \phantom{0}2 \\
\hline
834 \\
\end{array}
\]
#### Step 2: Multiply \( 417 \) by \( 60 \) (which is \( 6 \times 10 \))
\[
\begin{array}{r}
417 \\
\times 60 \\
\hline
25020 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
834 \\
+ 25020 \\
\hline
25854 \\
\end{array}
\]
Answer for Problem 8: \( 25854 \)
---
Problem 9: \( 763 \times 22 \)
#### Step 1: Multiply \( 763 \) by \( 2 \)
\[
\begin{array}{r}
763 \\
\times \phantom{0}2 \\
\hline
1526 \\
\end{array}
\]
#### Step 2: Multiply \( 763 \) by \( 20 \) (which is \( 2 \times 10 \))
\[
\begin{array}{r}
763 \\
\times 20 \\
\hline
15260 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
1526 \\
+ 15260 \\
\hline
16786 \\
\end{array}
\]
Answer for Problem 9: \( 16786 \)
---
Problem 10: \( 427 \times 59 \)
#### Step 1: Multiply \( 427 \) by \( 9 \)
\[
\begin{array}{r}
427 \\
\times \phantom{0}9 \\
\hline
3843 \\
\end{array}
\]
#### Step 2: Multiply \( 427 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
427 \\
\times 50 \\
\hline
21350 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3843 \\
+ 21350 \\
\hline
25193 \\
\end{array}
\]
Answer for Problem 10: \( 25193 \)
---
Problem 11: \( 637 \times 55 \)
#### Step 1: Multiply \( 637 \) by \( 5 \)
\[
\begin{array}{r}
637 \\
\times \phantom{0}5 \\
\hline
3185 \\
\end{array}
\]
#### Step 2: Multiply \( 637 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
\begin{array}{r}
637 \\
\times 50 \\
\hline
31850 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
3185 \\
+ 31850 \\
\hline
35035 \\
\end{array}
\]
Answer for Problem 11: \( 35035 \)
---
Problem 12: \( 674 \times 49 \)
#### Step 1: Multiply \( 674 \) by \( 9 \)
\[
\begin{array}{r}
674 \\
\times \phantom{0}9 \\
\hline
6066 \\
\end{array}
\]
#### Step 2: Multiply \( 674 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
\begin{array}{r}
674 \\
\times 40 \\
\hline
26960 \\
\end{array}
\]
#### Step 3: Add the results
\[
\begin{array}{r}
6066 \\
+ 26960 \\
\hline
33026 \\
\end{array}
\]
Answer for Problem 12: \( 33026 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 32956 \\
2. & 48384 \\
3. & 69936 \\
4. & 37595 \\
5. & 29757 \\
6. & 45264 \\
7. & 41888 \\
8. & 25854 \\
9. & 16786 \\
10. & 25193 \\
11. & 35035 \\
12. & 33026 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet for grade 5.