Math worksheet featuring twelve column multiplication problems where students multiply three-digit numbers by two-digit numbers.
Column multiplication worksheet with 12 problems involving 3-digit by 2-digit numbers.
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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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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Math Worksheets
The task involves solving column multiplication problems. Below, I will solve each problem step by step using the standard column multiplication method.
---
#### Step-by-Step Solution:
1. Multiply \( 238 \) by \( 2 \):
\[
238 \times 2 = 476
\]
Write \( 476 \) below the line.
2. Multiply \( 238 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
238 \times 60 = 14280
\]
Write \( 14280 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
476 \\
+14280 \\
\hline
14756 \\
\end{array}
\]
Answer:
\[
\boxed{14756}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 495 \) by \( 6 \):
\[
495 \times 6 = 2970
\]
Write \( 2970 \) below the line.
2. Multiply \( 495 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
495 \times 30 = 14850
\]
Write \( 14850 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
2970 \\
+14850 \\
\hline
17820 \\
\end{array}
\]
Answer:
\[
\boxed{17820}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 997 \) by \( 2 \):
\[
997 \times 2 = 1994
\]
Write \( 1994 \) below the line.
2. Multiply \( 997 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
997 \times 60 = 59820
\]
Write \( 59820 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1994 \\
+59820 \\
\hline
61814 \\
\end{array}
\]
Answer:
\[
\boxed{61814}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 834 \) by \( 7 \):
\[
834 \times 7 = 5838
\]
Write \( 5838 \) below the line.
2. Multiply \( 834 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
834 \times 40 = 33360
\]
Write \( 33360 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
5838 \\
+33360 \\
\hline
39198 \\
\end{array}
\]
Answer:
\[
\boxed{39198}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 269 \) by \( 6 \):
\[
269 \times 6 = 1614
\]
Write \( 1614 \) below the line.
2. Multiply \( 269 \) by \( 70 \) (which is \( 7 \times 10 \)):
\[
269 \times 70 = 18830
\]
Write \( 18830 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1614 \\
+18830 \\
\hline
20444 \\
\end{array}
\]
Answer:
\[
\boxed{20444}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 482 \) by \( 3 \):
\[
482 \times 3 = 1446
\]
Write \( 1446 \) below the line.
2. Multiply \( 482 \) by \( 90 \) (which is \( 9 \times 10 \)):
\[
482 \times 90 = 43380
\]
Write \( 43380 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1446 \\
+43380 \\
\hline
44826 \\
\end{array}
\]
Answer:
\[
\boxed{44826}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 834 \) by \( 7 \):
\[
834 \times 7 = 5838
\]
Write \( 5838 \) below the line.
2. Multiply \( 834 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
834 \times 50 = 41700
\]
Write \( 41700 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
5838 \\
+41700 \\
\hline
47538 \\
\end{array}
\]
Answer:
\[
\boxed{47538}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 718 \) by \( 4 \):
\[
718 \times 4 = 2872
\]
Write \( 2872 \) below the line.
2. Multiply \( 718 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
718 \times 50 = 35900
\]
Write \( 35900 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
2872 \\
+35900 \\
\hline
38772 \\
\end{array}
\]
Answer:
\[
\boxed{38772}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 283 \) by \( 4 \):
\[
283 \times 4 = 1132
\]
Write \( 1132 \) below the line.
2. Multiply \( 283 \) by \( 70 \) (which is \( 7 \times 10 \)):
\[
283 \times 70 = 19810
\]
Write \( 19810 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1132 \\
+19810 \\
\hline
20942 \\
\end{array}
\]
Answer:
\[
\boxed{20942}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 178 \) by \( 9 \):
\[
178 \times 9 = 1602
\]
Write \( 1602 \) below the line.
2. Multiply \( 178 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
178 \times 40 = 7120
\]
Write \( 7120 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1602 \\
+7120 \\
\hline
8722 \\
\end{array}
\]
Answer:
\[
\boxed{8722}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 385 \) by \( 9 \):
\[
385 \times 9 = 3465
\]
Write \( 3465 \) below the line.
2. Multiply \( 385 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
385 \times 50 = 19250
\]
Write \( 19250 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
3465 \\
+19250 \\
\hline
22715 \\
\end{array}
\]
Answer:
\[
\boxed{22715}
\]
---
#### Step-by-Step Solution:
1. Multiply \( 246 \) by \( 5 \):
\[
246 \times 5 = 1230
\]
Write \( 1230 \) below the line.
2. Multiply \( 246 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
246 \times 30 = 7380
\]
Write \( 7380 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1230 \\
+7380 \\
\hline
8610 \\
\end{array}
\]
Answer:
\[
\boxed{8610}
\]
---
\[
\boxed{
\begin{array}{cccc}
1. & 14756 & 2. & 17820 \\
3. & 61814 & 4. & 39198 \\
5. & 20444 & 6. & 44826 \\
7. & 47538 & 8. & 38772 \\
9. & 20942 & 10. & 8722 \\
11. & 22715 & 12. & 8610 \\
\end{array}
}
\]
---
Problem 1: \( 238 \times 62 \)
#### Step-by-Step Solution:
1. Multiply \( 238 \) by \( 2 \):
\[
238 \times 2 = 476
\]
Write \( 476 \) below the line.
2. Multiply \( 238 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
238 \times 60 = 14280
\]
Write \( 14280 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
476 \\
+14280 \\
\hline
14756 \\
\end{array}
\]
Answer:
\[
\boxed{14756}
\]
---
Problem 2: \( 495 \times 36 \)
#### Step-by-Step Solution:
1. Multiply \( 495 \) by \( 6 \):
\[
495 \times 6 = 2970
\]
Write \( 2970 \) below the line.
2. Multiply \( 495 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
495 \times 30 = 14850
\]
Write \( 14850 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
2970 \\
+14850 \\
\hline
17820 \\
\end{array}
\]
Answer:
\[
\boxed{17820}
\]
---
Problem 3: \( 997 \times 62 \)
#### Step-by-Step Solution:
1. Multiply \( 997 \) by \( 2 \):
\[
997 \times 2 = 1994
\]
Write \( 1994 \) below the line.
2. Multiply \( 997 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
997 \times 60 = 59820
\]
Write \( 59820 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1994 \\
+59820 \\
\hline
61814 \\
\end{array}
\]
Answer:
\[
\boxed{61814}
\]
---
Problem 4: \( 834 \times 47 \)
#### Step-by-Step Solution:
1. Multiply \( 834 \) by \( 7 \):
\[
834 \times 7 = 5838
\]
Write \( 5838 \) below the line.
2. Multiply \( 834 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
834 \times 40 = 33360
\]
Write \( 33360 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
5838 \\
+33360 \\
\hline
39198 \\
\end{array}
\]
Answer:
\[
\boxed{39198}
\]
---
Problem 5: \( 269 \times 76 \)
#### Step-by-Step Solution:
1. Multiply \( 269 \) by \( 6 \):
\[
269 \times 6 = 1614
\]
Write \( 1614 \) below the line.
2. Multiply \( 269 \) by \( 70 \) (which is \( 7 \times 10 \)):
\[
269 \times 70 = 18830
\]
Write \( 18830 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1614 \\
+18830 \\
\hline
20444 \\
\end{array}
\]
Answer:
\[
\boxed{20444}
\]
---
Problem 6: \( 482 \times 93 \)
#### Step-by-Step Solution:
1. Multiply \( 482 \) by \( 3 \):
\[
482 \times 3 = 1446
\]
Write \( 1446 \) below the line.
2. Multiply \( 482 \) by \( 90 \) (which is \( 9 \times 10 \)):
\[
482 \times 90 = 43380
\]
Write \( 43380 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1446 \\
+43380 \\
\hline
44826 \\
\end{array}
\]
Answer:
\[
\boxed{44826}
\]
---
Problem 7: \( 834 \times 57 \)
#### Step-by-Step Solution:
1. Multiply \( 834 \) by \( 7 \):
\[
834 \times 7 = 5838
\]
Write \( 5838 \) below the line.
2. Multiply \( 834 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
834 \times 50 = 41700
\]
Write \( 41700 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
5838 \\
+41700 \\
\hline
47538 \\
\end{array}
\]
Answer:
\[
\boxed{47538}
\]
---
Problem 8: \( 718 \times 54 \)
#### Step-by-Step Solution:
1. Multiply \( 718 \) by \( 4 \):
\[
718 \times 4 = 2872
\]
Write \( 2872 \) below the line.
2. Multiply \( 718 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
718 \times 50 = 35900
\]
Write \( 35900 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
2872 \\
+35900 \\
\hline
38772 \\
\end{array}
\]
Answer:
\[
\boxed{38772}
\]
---
Problem 9: \( 283 \times 74 \)
#### Step-by-Step Solution:
1. Multiply \( 283 \) by \( 4 \):
\[
283 \times 4 = 1132
\]
Write \( 1132 \) below the line.
2. Multiply \( 283 \) by \( 70 \) (which is \( 7 \times 10 \)):
\[
283 \times 70 = 19810
\]
Write \( 19810 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1132 \\
+19810 \\
\hline
20942 \\
\end{array}
\]
Answer:
\[
\boxed{20942}
\]
---
Problem 10: \( 178 \times 49 \)
#### Step-by-Step Solution:
1. Multiply \( 178 \) by \( 9 \):
\[
178 \times 9 = 1602
\]
Write \( 1602 \) below the line.
2. Multiply \( 178 \) by \( 40 \) (which is \( 4 \times 10 \)):
\[
178 \times 40 = 7120
\]
Write \( 7120 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1602 \\
+7120 \\
\hline
8722 \\
\end{array}
\]
Answer:
\[
\boxed{8722}
\]
---
Problem 11: \( 385 \times 59 \)
#### Step-by-Step Solution:
1. Multiply \( 385 \) by \( 9 \):
\[
385 \times 9 = 3465
\]
Write \( 3465 \) below the line.
2. Multiply \( 385 \) by \( 50 \) (which is \( 5 \times 10 \)):
\[
385 \times 50 = 19250
\]
Write \( 19250 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
3465 \\
+19250 \\
\hline
22715 \\
\end{array}
\]
Answer:
\[
\boxed{22715}
\]
---
Problem 12: \( 246 \times 35 \)
#### Step-by-Step Solution:
1. Multiply \( 246 \) by \( 5 \):
\[
246 \times 5 = 1230
\]
Write \( 1230 \) below the line.
2. Multiply \( 246 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
246 \times 30 = 7380
\]
Write \( 7380 \) below the previous result, shifted one place to the left.
3. Add the two results:
\[
\begin{array}{r}
1230 \\
+7380 \\
\hline
8610 \\
\end{array}
\]
Answer:
\[
\boxed{8610}
\]
---
Final Answers:
\[
\boxed{
\begin{array}{cccc}
1. & 14756 & 2. & 17820 \\
3. & 61814 & 4. & 39198 \\
5. & 20444 & 6. & 44826 \\
7. & 47538 & 8. & 38772 \\
9. & 20942 & 10. & 8722 \\
11. & 22715 & 12. & 8610 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of year 5 maths worksheet.