3 Digit Multiplication Worksheet with 12 Problems

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

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1. 929 × 430

Break it down:
- Multiply 929 × 430 = 929 × (400 + 30) = (929×400) + (929×30)

Step 1: 929 × 400
= 929 × 4 × 100
= 3716 × 100 = 371,600

Step 2: 929 × 30
= 929 × 3 × 10
= 2787 × 10 = 27,870

Add them:
371,600 + 27,870 = 399,470

✔ Answer: 399,470

---

2. 609 × 361

Use standard multiplication:

```
609
× 361
-----
609 ← 609 × 1
3654 ← 609 × 60 (shifted left)
1827 ← 609 × 300 (shifted two places left)
-------
221,149
```

Detailed steps:

- 609 × 1 = 609
- 609 × 60 = 36,540
- 609 × 300 = 182,700

Add:
609 + 36,540 = 37,149
37,149 + 182,700 = 219,849

Wait — let’s double-check:

Actually:
- 609 × 300 = 182,700 ✔
- 609 × 60 = 36,540 ✔
- 609 × 1 = 609 ✔

Now add:
182,700
+ 36,540 = 219,240
+ 609 = 219,849

✔ Answer: 219,849

---

3. 489 × 198

Break it down:
489 × 198 = 489 × (200 - 2) = (489×200) - (489×2)

- 489 × 200 = 97,800
- 489 × 2 = 978
- 97,800 - 978 = 96,822

✔ Answer: 96,822

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4. 194 × 750

Note: 750 = 75 × 10 → so multiply 194 × 75 first, then ×10

Or directly:
194 × 750 = 194 × 75 × 10

But easier:
194 × 750 = 194 × (700 + 50) = (194×700) + (194×50)

- 194 × 700 = 194 × 7 × 100 = 1,358 × 100 = 135,800
- 194 × 50 = 194 × 5 × 10 = 970 × 10 = 9,700
- Add: 135,800 + 9,700 = 145,500

✔ Answer: 145,500

---

5. 764 × 372

Use standard multiplication:

```
764
× 372
-----
1528 ← 764 × 2
5348 ← 764 × 70 (shifted left)
2292 ← 764 × 300 (shifted two left)
--------
284,168
```

Let’s compute:

- 764 × 2 = 1,528
- 764 × 70 = 764 × 7 × 10 = 5,348 × 10 = 53,480
- 764 × 300 = 764 × 3 × 100 = 2,292 × 100 = 229,200

Now add:
1,528
+ 53,480 = 55,008
+ 229,200 = 284,208

Wait! Let's check again.

764 × 372:

We can do it this way:

```
764
× 372
------
1528 ← 764 × 2
5348 ← 764 × 70 → actually 764 × 7 = 5,348 → so 53,480
2292 ← 764 × 300 = 229,200
-------
284,208
```

Yes:
1,528 + 53,480 = 55,008
55,008 + 229,200 = 284,208

✔ Answer: 284,208

---

6. 536 × 414

Break into parts:

536 × 414 = 536 × (400 + 10 + 4)

- 536 × 400 = 214,400
- 536 × 10 = 5,360
- 536 × 4 = 2,144

Add:
214,400 + 5,360 = 219,760
219,760 + 2,144 = 221,904

✔ Answer: 221,904

---

7. 877 × 527

Break down:

877 × 527 = 877 × (500 + 20 + 7)

- 877 × 500 = 438,500
- 877 × 20 = 17,540
- 877 × 7 = 6,139

Add:
438,500 + 17,540 = 456,040
456,040 + 6,139 = 462,179

✔ Answer: 462,179

---

8. 269 × 361

Break down:
269 × 361 = 269 × (300 + 60 + 1)

- 269 × 300 = 80,700
- 269 × 60 = 16,140
- 269 × 1 = 269

Add:
80,700 + 16,140 = 96,840
96,840 + 269 = 97,109

✔ Answer: 97,109

---

9. 405 × 208

405 × 208 = 405 × (200 + 8)

- 405 × 200 = 81,000
- 405 × 8 = 3,240

Add: 81,000 + 3,240 = 84,240

✔ Answer: 84,240

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10. 240 × 760

Note: Both numbers end in zero → simplify

240 × 760 = (24 × 76) × 100

First: 24 × 76

- 24 × 70 = 1,680
- 24 × 6 = 144
- Total: 1,680 + 144 = 1,824

Then ×100 = 182,400

✔ Answer: 182,400

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11. 447 × 142

Break down: 447 × (100 + 40 + 2)

- 447 × 100 = 44,700
- 447 × 40 = 17,880
- 447 × 2 = 894

Add:
44,700 + 17,880 = 62,580
62,580 + 894 = 63,474

✔ Answer: 63,474

---

12. 688 × 125

Note: 125 is a nice number: 125 = 1000 ÷ 8 → but maybe use breakdown:

688 × 125 = 688 × (100 + 20 + 5)

- 688 × 100 = 68,800
- 688 × 20 = 13,760
- 688 × 5 = 3,440

Add:
68,800 + 13,760 = 82,560
82,560 + 3,440 = 86,000

✔ Answer: 86,000

Alternatively: 688 × 125 = 688 × (1000 ÷ 8) = (688 ÷ 8) × 1000 = 86 × 1000 = 86,000

Same result!

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✔ Final Answers:

| Problem | Answer |
|--------|---------------|
| 1 | 399,470 |
| 2 | 219,849 |
| 3 | 96,822 |
| 4 | 145,500 |
| 5 | 284,208 |
| 6 | 221,904 |
| 7 | 462,179 |
| 8 | 97,109 |
| 9 | 84,240 |
| 10 | 182,400 |
| 11 | 63,474 |
| 12 | 86,000 |

Let me know if you'd like a printable version or step-by-step visuals for any problem!