Multi-Digit Multiplication Worksheets - The Teachers Cafe - Free Printable
Educational worksheet: Multi-Digit Multiplication Worksheets - The Teachers Cafe. Download and print for classroom or home learning activities.
PNG
286×300
53.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #2052644
⭐
Show Answer Key & Explanations
Step-by-step solution for: Multi-Digit Multiplication Worksheets - The Teachers Cafe
▼
Show Answer Key & Explanations
Step-by-step solution for: Multi-Digit Multiplication Worksheets - The Teachers Cafe
It looks like you've uploaded a worksheet titled "Multiplication: Triple-Digit x Double-Digit (a)", which contains 20 multiplication problems where a three-digit number is multiplied by a two-digit number. The first problem has been partially solved as an example:
```
141
x 12
-----
282
+1,410
-----
1,692
```
Let’s go through the solution process and then solve all the problems step-by-step.
---
We use the standard algorithm:
1. Multiply the three-digit number by the ones digit of the two-digit number.
2. Multiply the three-digit number by the tens digit of the two-digit number (shift one place to the left).
3. Add the two results together.
---
Now let's solve each problem one by one.
---
(As shown in the example)
---
```
325
× 28
-----
2600 ← 325 × 8
+6500 ← 325 × 20 (shifted)
-----
9,100
```
✔ Answer: 9,100
---
```
847
× 35
-----
4235 ← 847 × 5
+25410 ← 847 × 30
-----
29,645
```
✔ Answer: 29,645
---
```
792
× 21
-----
792 ← 792 × 1
+15840 ← 792 × 20
-----
16,632
```
✔ Answer: 16,632
---
```
246
× 43
-----
738 ← 246 × 3
+9840 ← 246 × 40
-----
10,578
```
✔ Answer: 10,578
---
```
968
× 26
-----
5808 ← 968 × 6
+19360 ← 968 × 20
-----
25,168
```
✔ Answer: 25,168
---
```
277
× 63
-----
831 ← 277 × 3
+16620 ← 277 × 60
-----
17,451
```
✔ Answer: 17,451
---
```
656
× 48
-----
5248 ← 656 × 8
+26240 ← 656 × 40
-----
31,488
```
✔ Answer: 31,488
---
```
483
× 41
-----
483 ← 483 × 1
+19320 ← 483 × 40
-----
19,803
```
✔ Answer: 19,803
---
```
376
× 72
-----
752 ← 376 × 2
+26320 ← 376 × 70
-----
27,072
```
✔ Answer: 27,072
---
```
192
× 57
-----
1344 ← 192 × 7
+9600 ← 192 × 50
-----
10,944
```
✔ Answer: 10,944
---
```
276
× 34
-----
1104 ← 276 × 4
+8280 ← 276 × 30
-----
9,384
```
✔ Answer: 9,384
---
```
529
× 28
-----
4232 ← 529 × 8
+10580 ← 529 × 20
-----
14,812
```
✔ Answer: 14,812
---
```
386
× 39
-----
3474 ← 386 × 9
+11580 ← 386 × 30
-----
15,054
```
✔ Answer: 15,054
---
```
580
× 72
-----
1160 ← 580 × 2
+40600 ← 580 × 70
-----
41,760
```
✔ Answer: 41,760
---
```
873
× 51
-----
873 ← 873 × 1
+43650 ← 873 × 50
-----
44,523
```
✔ Answer: 44,523
---
```
769
× 33
-----
2307 ← 769 × 3
+23070 ← 769 × 30
-----
25,377
```
✔ Answer: 25,377
---
```
252
× 34
-----
504 ← 252 × 4
+7560 ← 252 × 30
-----
8,064
```
✔ Answer: 8,064
---
```
161
× 46
-----
966 ← 161 × 6
+6440 ← 161 × 40
-----
7,406
```
✔ Answer: 7,406
---
```
327
× 23
-----
981 ← 327 × 3
+6540 ← 327 × 20
-----
7,521
```
✔ Answer: 7,521
---
```
416
× 12
-----
832 ← 416 × 2
+4160 ← 416 × 10
-----
4,992
```
✔ Answer: 4,992
---
## 📌 Final Answers Summary:
| Problem | Answer |
|--------|------------|
| 1 | 1,692 |
| 2 | 9,100 |
| 3 | 29,645 |
| 4 | 16,632 |
| 5 | 10,578 |
| 6 | 25,168 |
| 7 | 17,451 |
| 8 | 31,488 |
| 9 | 19,803 |
| 10 | 27,072 |
| 11 | 10,944 |
| 12 | 9,384 |
| 13 | 14,812 |
| 14 | 15,054 |
| 15 | 41,760 |
| 16 | 44,523 |
| 17 | 25,377 |
| 18 | 8,064 |
| 19 | 7,406 |
| 20 | 7,521 |
| 21 | 4,992 |
---
Let me know if you'd like this in a printable format or with the steps shown in boxes like on the worksheet!
```
141
x 12
-----
282
+1,410
-----
1,692
```
Let’s go through the solution process and then solve all the problems step-by-step.
---
🔢 How to Multiply a Three-Digit Number by a Two-Digit Number
We use the standard algorithm:
1. Multiply the three-digit number by the ones digit of the two-digit number.
2. Multiply the three-digit number by the tens digit of the two-digit number (shift one place to the left).
3. Add the two results together.
---
Now let's solve each problem one by one.
---
✔ Problem 1: 141 × 12 → Already Solved: 1,692
(As shown in the example)
---
✔ Problem 2: 325 × 28
```
325
× 28
-----
2600 ← 325 × 8
+6500 ← 325 × 20 (shifted)
-----
9,100
```
✔ Answer: 9,100
---
✔ Problem 3: 847 × 35
```
847
× 35
-----
4235 ← 847 × 5
+25410 ← 847 × 30
-----
29,645
```
✔ Answer: 29,645
---
✔ Problem 4: 792 × 21
```
792
× 21
-----
792 ← 792 × 1
+15840 ← 792 × 20
-----
16,632
```
✔ Answer: 16,632
---
✔ Problem 5: 246 × 43
```
246
× 43
-----
738 ← 246 × 3
+9840 ← 246 × 40
-----
10,578
```
✔ Answer: 10,578
---
✔ Problem 6: 968 × 26
```
968
× 26
-----
5808 ← 968 × 6
+19360 ← 968 × 20
-----
25,168
```
✔ Answer: 25,168
---
✔ Problem 7: 277 × 63
```
277
× 63
-----
831 ← 277 × 3
+16620 ← 277 × 60
-----
17,451
```
✔ Answer: 17,451
---
✔ Problem 8: 656 × 48
```
656
× 48
-----
5248 ← 656 × 8
+26240 ← 656 × 40
-----
31,488
```
✔ Answer: 31,488
---
✔ Problem 9: 483 × 41
```
483
× 41
-----
483 ← 483 × 1
+19320 ← 483 × 40
-----
19,803
```
✔ Answer: 19,803
---
✔ Problem 10: 376 × 72
```
376
× 72
-----
752 ← 376 × 2
+26320 ← 376 × 70
-----
27,072
```
✔ Answer: 27,072
---
✔ Problem 11: 192 × 57
```
192
× 57
-----
1344 ← 192 × 7
+9600 ← 192 × 50
-----
10,944
```
✔ Answer: 10,944
---
✔ Problem 12: 276 × 34
```
276
× 34
-----
1104 ← 276 × 4
+8280 ← 276 × 30
-----
9,384
```
✔ Answer: 9,384
---
✔ Problem 13: 529 × 28
```
529
× 28
-----
4232 ← 529 × 8
+10580 ← 529 × 20
-----
14,812
```
✔ Answer: 14,812
---
✔ Problem 14: 386 × 39
```
386
× 39
-----
3474 ← 386 × 9
+11580 ← 386 × 30
-----
15,054
```
✔ Answer: 15,054
---
✔ Problem 15: 580 × 72
```
580
× 72
-----
1160 ← 580 × 2
+40600 ← 580 × 70
-----
41,760
```
✔ Answer: 41,760
---
✔ Problem 16: 873 × 51
```
873
× 51
-----
873 ← 873 × 1
+43650 ← 873 × 50
-----
44,523
```
✔ Answer: 44,523
---
✔ Problem 17: 769 × 33
```
769
× 33
-----
2307 ← 769 × 3
+23070 ← 769 × 30
-----
25,377
```
✔ Answer: 25,377
---
✔ Problem 18: 252 × 34
```
252
× 34
-----
504 ← 252 × 4
+7560 ← 252 × 30
-----
8,064
```
✔ Answer: 8,064
---
✔ Problem 19: 161 × 46
```
161
× 46
-----
966 ← 161 × 6
+6440 ← 161 × 40
-----
7,406
```
✔ Answer: 7,406
---
✔ Problem 20: 327 × 23
```
327
× 23
-----
981 ← 327 × 3
+6540 ← 327 × 20
-----
7,521
```
✔ Answer: 7,521
---
✔ Problem 21: 416 × 12
```
416
× 12
-----
832 ← 416 × 2
+4160 ← 416 × 10
-----
4,992
```
✔ Answer: 4,992
---
## 📌 Final Answers Summary:
| Problem | Answer |
|--------|------------|
| 1 | 1,692 |
| 2 | 9,100 |
| 3 | 29,645 |
| 4 | 16,632 |
| 5 | 10,578 |
| 6 | 25,168 |
| 7 | 17,451 |
| 8 | 31,488 |
| 9 | 19,803 |
| 10 | 27,072 |
| 11 | 10,944 |
| 12 | 9,384 |
| 13 | 14,812 |
| 14 | 15,054 |
| 15 | 41,760 |
| 16 | 44,523 |
| 17 | 25,377 |
| 18 | 8,064 |
| 19 | 7,406 |
| 20 | 7,521 |
| 21 | 4,992 |
---
Let me know if you'd like this in a printable format or with the steps shown in boxes like on the worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiply multi digit number worksheet.