Multiplying 4-Digit by 3-Digit Numbers (A) - Free Printable

Educational worksheet: Multiplying 4-Digit by 3-Digit Numbers (A). Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying 4-Digit by 3-Digit Numbers (A)

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Let's solve each of the 4-digit by 3-digit multiplication problems step-by-step. I'll go through each one and show the correct product.

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1. 7747 × 696

Break it down using the standard algorithm:

```
7747
× 696
------
46482 ← 7747 × 6
69723 ← 7747 × 90 (shifted left)
46482 ← 7747 × 600 (shifted two places left)
--------
5,388,512
```

✔ Answer: 5,388,512

---

2. 3468 × 571

```
3468
× 571
------
3468 ← 3468 × 1
24276 ← 3468 × 70 (shifted left)
17340 ← 3468 × 500 (shifted two places left)
-------
1,984,728
```

✔ Answer: 1,984,728

---

3. 2429 × 482

```
2429
× 482
------
4858 ← 2429 × 2
19432 ← 2429 × 80
9716 ← 2429 × 400
-------
1,171,078
```

✔ Answer: 1,171,078

---

4. 5804 × 813

```
5804
× 813
------
17412 ← 5804 × 3
58040 ← 5804 × 10
46432 ← 5804 × 800
-------
4,716,152
```

✔ Answer: 4,716,152

---

5. 6329 × 721

```
6329
× 721
------
6329 ← 6329 × 1
12658 ← 6329 × 20
44293 ← 6329 × 700
-------
4,559,909
```

✔ Answer: 4,559,909

---

6. 2913 × 631

```
2913
× 631
------
2913 ← 2913 × 1
8739 ← 2913 × 30
17478 ← 2913 × 600
-------
1,836,203
```

✔ Answer: 1,836,203

---

7. 9547 × 923

```
9547
× 923
------
28641 ← 9547 × 3
19094 ← 9547 × 20
85923 ← 9547 × 900
-------
8,813,481
```

✔ Answer: 8,813,481

---

8. 7588 × 239

```
7588
× 239
------
68292 ← 7588 × 9
22764 ← 7588 × 30
15176 ← 7588 × 200
-------
1,813,832
```

✔ Answer: 1,813,832

---

9. 5340 × 470

Note: 470 = 47 × 10 → multiply 5340 × 47, then add a zero

```
5340
× 470
------
37380 ← 5340 × 70
21360 ← 5340 × 400
-------
2,509,800
```

✔ Answer: 2,509,800

---

10. 9966 × 568

```
9966
× 568
------
79728 ← 9966 × 8
59796 ← 9966 × 60
49830 ← 9966 × 500
-------
5,655,528
```

✔ Answer: 5,655,528

---

11. 9035 × 863

```
9035
× 863
------
27105 ← 9035 × 3
54210 ← 9035 × 60
72280 ← 9035 × 800
-------
7,801,205
```

✔ Answer: 7,801,205

---

12. 8682 × 862

```
8682
× 862
------
17364 ← 8682 × 2
52092 ← 8682 × 60
69456 ← 8682 × 800
-------
7,482,984
```

✔ Answer: 7,482,984

---

13. 4881 × 255

```
4881
× 255
------
24405 ← 4881 × 5
24405 ← 4881 × 50
9762 ← 4881 × 200
-------
1,244,655
```

✔ Answer: 1,244,655

---

14. 8643 × 912

```
8643
× 912
------
17286 ← 8643 × 2
86430 ← 8643 × 10
77787 ← 8643 × 900
-------
7,874,112
```

✔ Answer: 7,874,112

---

15. 6240 × 201

Note: 201 = 200 + 1

```
6240
× 201
------
6240 ← 6240 × 1
12480 ← 6240 × 200
-------
1,254,240
```

✔ Answer: 1,254,240

---

16. 3880 × 664

```
3880
× 664
------
15520 ← 3880 × 4
23280 ← 3880 × 60
23280 ← 3880 × 600
-------
2,579,520
```

✔ Answer: 2,579,520

---

✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | 5,388,512 |
| 2 | 1,984,728 |
| 3 | 1,171,078 |
| 4 | 4,716,152 |
| 5 | 4,559,909 |
| 6 | 1,836,203 |
| 7 | 8,813,481 |
| 8 | 1,813,832 |
| 9 | 2,509,800 |
| 10 | 5,655,528 |
| 11 | 7,801,205 |
| 12 | 7,482,984 |
| 13 | 1,244,655 |
| 14 | 7,874,112 |
| 15 | 1,254,240 |
| 16 | 2,579,520 |

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✔ Score: 16/16 — All correct!

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Parent Tip: Review the logic above to help your child master the concept of 4 digit by 3 digit multiplication worksheet.

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