Printable math worksheet for solving 3-digit by 2-digit multiplication using a grid method.
3-digit by 2-digit multiplication problems on a grid worksheet for math practice.
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Step-by-step solution for: 3-digit by 2-digit Multiplication with Grid Support Including ...
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Show Answer Key & Explanations
Step-by-step solution for: 3-digit by 2-digit Multiplication with Grid Support Including ...
You’ve uploaded a math worksheet titled “3-digit by 2-digit Multiplication on a Grid (A)”. The task is to calculate the product of each multiplication problem using the grid to help line up the numbers — this is essentially practicing the standard algorithm for multiplication, with grids provided to assist in aligning digits correctly during partial products.
Since I can’t “see” or process images directly, I’ll solve all 16 problems listed on the worksheet step-by-step, using the standard multiplication method, and explain how you’d use the grid if you were doing it manually.
---
## ✔ How to Use the Grid:
Each grid has space to write:
- The 3-digit number on top
- The 2-digit number below (with × symbol)
- Then, you multiply the top number by the ones digit of the bottom number → write that partial product in the first row of boxes.
- Then, multiply the top number by the tens digit of the bottom number → write that partial product shifted one place to the left (in the next row).
- Finally, add the two partial products to get the final answer.
---
## 🔢 Let’s Solve Each Problem:
---
```
396
× 43
-----
1188 ← 396 × 3
+15840 ← 396 × 40 (shifted left)
-----
17028
```
✔ Answer: 17,028
---
```
519
× 69
-----
4671 ← 519 × 9
+31140 ← 519 × 60
-----
35811
```
✔ Answer: 35,811
---
```
808
× 27
-----
5656 ← 808 × 7
+16160 ← 808 × 20
-----
21816
```
✔ Answer: 21,816
---
```
685
× 75
-----
3425 ← 685 × 5
+47950 ← 685 × 70
-----
51375
```
✔ Answer: 51,375
---
```
162
× 86
-----
972 ← 162 × 6
+12960 ← 162 × 80
-----
13932
```
✔ Answer: 13,932
---
```
683
× 14
-----
2732 ← 683 × 4
+ 6830 ← 683 × 10
-----
9562
```
✔ Answer: 9,562
---
```
850
× 26
-----
5100 ← 850 × 6
+17000 ← 850 × 20
-----
22100
```
✔ Answer: 22,100
---
```
869
× 25
-----
4345 ← 869 × 5
+17380 ← 869 × 20
-----
21725
```
✔ Answer: 21,725
---
```
824
× 55
-----
4120 ← 824 × 5
+41200 ← 824 × 50
-----
45320
```
✔ Answer: 45,320
---
```
748
× 46
-----
4488 ← 748 × 6
+29920 ← 748 × 40
-----
34408
```
✔ Answer: 34,408
---
```
365
× 60
-----
00 ← 365 × 0
+21900 ← 365 × 60 (note: multiplying by 60 = ×6 then add 0)
-----
21900
```
✔ Answer: 21,900
---
```
285
× 10
-----
00 ← 285 × 0
+2850 ← 285 × 10
-----
2850
```
✔ Answer: 2,850
---
```
360
× 80
-----
00 ← 360 × 0
+28800 ← 360 × 80
-----
28800
```
✔ Answer: 28,800
---
```
394
× 53
-----
1182 ← 394 × 3
+19700 ← 394 × 50
-----
20882
```
✔ Answer: 20,882
---
```
873
× 58
-----
6984 ← 873 × 8
+43650 ← 873 × 50
-----
50634
```
✔ Answer: 50,634
---
```
611
× 94
-----
2444 ← 611 × 4
+54990 ← 611 × 90
-----
57434
```
✔ Answer: 57,434
---
## 📝 Final Answer Key (for your worksheet):
| Problem | Answer |
|---------|------------|
| 396 × 43 | 17,028 |
| 519 × 69 | 35,811 |
| 808 × 27 | 21,816 |
| 685 × 75 | 51,375 |
| 162 × 86 | 13,932 |
| 683 × 14 | 9,562 |
| 850 × 26 | 22,100 |
| 869 × 25 | 21,725 |
| 824 × 55 | 45,320 |
| 748 × 46 | 34,408 |
| 365 × 60 | 21,900 |
| 285 × 10 | 2,850 |
| 360 × 80 | 28,800 |
| 394 × 53 | 20,882 |
| 873 × 58 | 50,634 |
| 611 × 94 | 57,434 |
---
## 🧠 Tips for Using the Grid:
- Always write the 3-digit number on top, 2-digit below.
- Multiply by the ones digit first, write result aligned right.
- Multiply by the tens digit next, write result starting one column to the left.
- Add the two rows — carry over as needed.
- The grid helps prevent misalignment — which is a common error!
---
Let me know if you’d like a printable version or want to check your own work against these answers! 😊
Since I can’t “see” or process images directly, I’ll solve all 16 problems listed on the worksheet step-by-step, using the standard multiplication method, and explain how you’d use the grid if you were doing it manually.
---
## ✔ How to Use the Grid:
Each grid has space to write:
- The 3-digit number on top
- The 2-digit number below (with × symbol)
- Then, you multiply the top number by the ones digit of the bottom number → write that partial product in the first row of boxes.
- Then, multiply the top number by the tens digit of the bottom number → write that partial product shifted one place to the left (in the next row).
- Finally, add the two partial products to get the final answer.
---
## 🔢 Let’s Solve Each Problem:
---
1. 396 × 43
```
396
× 43
-----
1188 ← 396 × 3
+15840 ← 396 × 40 (shifted left)
-----
17028
```
✔ Answer: 17,028
---
2. 519 × 69
```
519
× 69
-----
4671 ← 519 × 9
+31140 ← 519 × 60
-----
35811
```
✔ Answer: 35,811
---
3. 808 × 27
```
808
× 27
-----
5656 ← 808 × 7
+16160 ← 808 × 20
-----
21816
```
✔ Answer: 21,816
---
4. 685 × 75
```
685
× 75
-----
3425 ← 685 × 5
+47950 ← 685 × 70
-----
51375
```
✔ Answer: 51,375
---
5. 162 × 86
```
162
× 86
-----
972 ← 162 × 6
+12960 ← 162 × 80
-----
13932
```
✔ Answer: 13,932
---
6. 683 × 14
```
683
× 14
-----
2732 ← 683 × 4
+ 6830 ← 683 × 10
-----
9562
```
✔ Answer: 9,562
---
7. 850 × 26
```
850
× 26
-----
5100 ← 850 × 6
+17000 ← 850 × 20
-----
22100
```
✔ Answer: 22,100
---
8. 869 × 25
```
869
× 25
-----
4345 ← 869 × 5
+17380 ← 869 × 20
-----
21725
```
✔ Answer: 21,725
---
9. 824 × 55
```
824
× 55
-----
4120 ← 824 × 5
+41200 ← 824 × 50
-----
45320
```
✔ Answer: 45,320
---
10. 748 × 46
```
748
× 46
-----
4488 ← 748 × 6
+29920 ← 748 × 40
-----
34408
```
✔ Answer: 34,408
---
11. 365 × 60
```
365
× 60
-----
00 ← 365 × 0
+21900 ← 365 × 60 (note: multiplying by 60 = ×6 then add 0)
-----
21900
```
✔ Answer: 21,900
---
12. 285 × 10
```
285
× 10
-----
00 ← 285 × 0
+2850 ← 285 × 10
-----
2850
```
✔ Answer: 2,850
---
13. 360 × 80
```
360
× 80
-----
00 ← 360 × 0
+28800 ← 360 × 80
-----
28800
```
✔ Answer: 28,800
---
14. 394 × 53
```
394
× 53
-----
1182 ← 394 × 3
+19700 ← 394 × 50
-----
20882
```
✔ Answer: 20,882
---
15. 873 × 58
```
873
× 58
-----
6984 ← 873 × 8
+43650 ← 873 × 50
-----
50634
```
✔ Answer: 50,634
---
16. 611 × 94
```
611
× 94
-----
2444 ← 611 × 4
+54990 ← 611 × 90
-----
57434
```
✔ Answer: 57,434
---
## 📝 Final Answer Key (for your worksheet):
| Problem | Answer |
|---------|------------|
| 396 × 43 | 17,028 |
| 519 × 69 | 35,811 |
| 808 × 27 | 21,816 |
| 685 × 75 | 51,375 |
| 162 × 86 | 13,932 |
| 683 × 14 | 9,562 |
| 850 × 26 | 22,100 |
| 869 × 25 | 21,725 |
| 824 × 55 | 45,320 |
| 748 × 46 | 34,408 |
| 365 × 60 | 21,900 |
| 285 × 10 | 2,850 |
| 360 × 80 | 28,800 |
| 394 × 53 | 20,882 |
| 873 × 58 | 50,634 |
| 611 × 94 | 57,434 |
---
## 🧠 Tips for Using the Grid:
- Always write the 3-digit number on top, 2-digit below.
- Multiply by the ones digit first, write result aligned right.
- Multiply by the tens digit next, write result starting one column to the left.
- Add the two rows — carry over as needed.
- The grid helps prevent misalignment — which is a common error!
---
Let me know if you’d like a printable version or want to check your own work against these answers! 😊
Parent Tip: Review the logic above to help your child master the concept of multiplication with regrouping worksheet.