3-Digit by 2-Digit Multiplication Practice Worksheet
Multiplication worksheet with 3-digit by 2-digit problems on graph paper.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Worksheets (3-Digits Times 2-Digits)
▼
Show Answer Key & Explanations
Step-by-step solution for: Multiplication Worksheets (3-Digits Times 2-Digits)
Let's solve each of the multiplication problems on the worksheet step by step. These are all 3-digit numbers multiplied by 2-digit numbers.
---
Break it down:
- Multiply 523 by 2:
$ 523 \times 2 = 1046 $
- Multiply 523 by 10 (which is 1 shifted one place to the left):
$ 523 \times 10 = 5230 $
- Add them together:
$ 1046 + 5230 = 6276 $
✔ Answer: 6,276
---
Break it down:
- 130 × 3 = 390
- 130 × 40 = 5,200
- Add: 390 + 5,200 = 5,590
✔ Answer: 5,590
---
Break it down:
- 472 × 9 = 4,248
- 472 × 40 = 18,880
- Add: 4,248 + 18,880 = 23,128
✔ Answer: 23,128
---
Break it down:
- 693 × 5 = 3,465
- 693 × 20 = 13,860
- Add: 3,465 + 13,860 = 17,325
✔ Answer: 17,325
---
This is easy:
- 503 × 30 = 503 × 3 × 10 = 1,509 × 10 = 15,090
✔ Answer: 15,090
---
Break it down:
- 499 × 1 = 499
- 499 × 80 = 39,920
- Add: 499 + 39,920 = 40,419
✔ Answer: 40,419
---
Break it down:
- 256 × 1 = 256
- 256 × 40 = 10,240
- Add: 256 + 10,240 = 10,496
✔ Answer: 10,496
---
Simple:
- 500 × 30 = 15,000
✔ Answer: 15,000
---
Break it down:
- 978 × 6 = 5,868
- 978 × 10 = 9,780
- Add: 5,868 + 9,780 = 15,648
✔ Answer: 15,648
---
Break it down:
- 204 × 9 = 1,836
- 204 × 80 = 16,320
- Add: 1,836 + 16,320 = 18,156
✔ Answer: 18,156
---
Break it down:
- 679 × 3 = 2,037
- 679 × 70 = 47,530
- Add: 2,037 + 47,530 = 49,567
✔ Answer: 49,567
---
Break it down:
- 608 × 6 = 3,648
- 608 × 30 = 18,240
- Add: 3,648 + 18,240 = 21,888
✔ Answer: 21,888
---
| Problem | Answer |
|--------|------------|
| a | 6,276 |
| b | 5,590 |
| c | 23,128 |
| d | 17,325 |
| e | 15,090 |
| f | 40,419 |
| g | 10,496 |
| h | 15,000 |
| i | 15,648 |
| j | 18,156 |
| k | 49,567 |
| l | 21,888 |
---
For any 3-digit × 2-digit multiplication:
1. Write the larger number on top.
2. Multiply the top number by the ones digit of the bottom number.
3. Multiply the top number by the tens digit of the bottom number (shift one place to the left).
4. Add the two results.
Example:
```
523
× 12
-----
1046 ← 523 × 2
5230 ← 523 × 10 (shifted)
-----
6276
```
This method works for all problems above.
Let me know if you'd like these written out in full vertical format!
---
a. 523 × 12
Break it down:
- Multiply 523 by 2:
$ 523 \times 2 = 1046 $
- Multiply 523 by 10 (which is 1 shifted one place to the left):
$ 523 \times 10 = 5230 $
- Add them together:
$ 1046 + 5230 = 6276 $
✔ Answer: 6,276
---
b. 130 × 43
Break it down:
- 130 × 3 = 390
- 130 × 40 = 5,200
- Add: 390 + 5,200 = 5,590
✔ Answer: 5,590
---
c. 472 × 49
Break it down:
- 472 × 9 = 4,248
- 472 × 40 = 18,880
- Add: 4,248 + 18,880 = 23,128
✔ Answer: 23,128
---
d. 693 × 25
Break it down:
- 693 × 5 = 3,465
- 693 × 20 = 13,860
- Add: 3,465 + 13,860 = 17,325
✔ Answer: 17,325
---
e. 503 × 30
This is easy:
- 503 × 30 = 503 × 3 × 10 = 1,509 × 10 = 15,090
✔ Answer: 15,090
---
f. 499 × 81
Break it down:
- 499 × 1 = 499
- 499 × 80 = 39,920
- Add: 499 + 39,920 = 40,419
✔ Answer: 40,419
---
g. 256 × 41
Break it down:
- 256 × 1 = 256
- 256 × 40 = 10,240
- Add: 256 + 10,240 = 10,496
✔ Answer: 10,496
---
h. 500 × 30
Simple:
- 500 × 30 = 15,000
✔ Answer: 15,000
---
i. 978 × 16
Break it down:
- 978 × 6 = 5,868
- 978 × 10 = 9,780
- Add: 5,868 + 9,780 = 15,648
✔ Answer: 15,648
---
j. 204 × 89
Break it down:
- 204 × 9 = 1,836
- 204 × 80 = 16,320
- Add: 1,836 + 16,320 = 18,156
✔ Answer: 18,156
---
k. 679 × 73
Break it down:
- 679 × 3 = 2,037
- 679 × 70 = 47,530
- Add: 2,037 + 47,530 = 49,567
✔ Answer: 49,567
---
l. 608 × 36
Break it down:
- 608 × 6 = 3,648
- 608 × 30 = 18,240
- Add: 3,648 + 18,240 = 21,888
✔ Answer: 21,888
---
✔ Final Answers:
| Problem | Answer |
|--------|------------|
| a | 6,276 |
| b | 5,590 |
| c | 23,128 |
| d | 17,325 |
| e | 15,090 |
| f | 40,419 |
| g | 10,496 |
| h | 15,000 |
| i | 15,648 |
| j | 18,156 |
| k | 49,567 |
| l | 21,888 |
---
🔍 How to Solve These (Step-by-step Method):
For any 3-digit × 2-digit multiplication:
1. Write the larger number on top.
2. Multiply the top number by the ones digit of the bottom number.
3. Multiply the top number by the tens digit of the bottom number (shift one place to the left).
4. Add the two results.
Example:
```
523
× 12
-----
1046 ← 523 × 2
5230 ← 523 × 10 (shifted)
-----
6276
```
This method works for all problems above.
Let me know if you'd like these written out in full vertical format!
Parent Tip: Review the logic above to help your child master the concept of triple digit multiplication worksheet.
