Three Digit Multiplication Worksheet - Free Printable
Educational worksheet: Three Digit Multiplication Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Three Digit Multiplication Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Three Digit Multiplication Worksheet
Let's solve each of the three-digit multiplication problems step by step. I'll show the work for each one using the standard algorithm (also known as long multiplication).
---
```
361
×112
-----
722 ← 361 × 2
3610 ← 361 × 10 (shifted one place left)
36100 ← 361 × 100 (shifted two places left)
-------
40432
```
Answer: 40,432
---
Note: 290 = 29 × 10 → We can multiply by 29 first, then add a zero.
But let's do it directly:
```
773
×290
-----
0 ← 773 × 0
6957 ← 773 × 90 = 773 × 9 × 10 = 6957 × 10 = 69,570
15460 ← 773 × 200 = 773 × 2 × 100 = 1,546 × 100 = 154,600
--------
224,170
```
Wait — better to align properly:
```
773
×290
-----
0 ← 773 × 0
69570 ← 773 × 90 = 773 × 9 = 6,957 → ×10 → 69,570
154600 ← 773 × 200 = 773 × 2 = 1,546 → ×100 → 154,600
--------
224,170
```
Answer: 224,170
---
```
485
×221
-----
485 ← 485 × 1
970 ← 485 × 20 = 9,700 (shifted left)
9700 ← 485 × 200 = 97,000 (shifted two places left)
--------
107,085
```
Add them:
- 485 + 9,700 = 10,185
- 10,185 + 97,000 = 107,185
Answer: 107,185
---
```
894
×203
-----
2682 ← 894 × 3
0 ← 894 × 0 (tens place)
178800 ← 894 × 200 = 178,800
--------
181,482
```
Add:
- 2,682 + 178,800 = 181,482
Answer: 181,482
---
```
142
×425
-----
710 ← 142 × 5
284 ← 142 × 20 = 2,840 (shifted)
568 ← 142 × 400 = 56,800 (shifted)
--------
60,250
```
Now add:
- 710 + 2,840 = 3,550
- 3,550 + 56,800 = 60,350
Wait! Let's check again:
Actually:
- 142 × 5 = 710
- 142 × 20 = 2,840
- 142 × 400 = 56,800
So total:
710 + 2,840 = 3,550
3,550 + 56,800 = 60,350
Answer: 60,350
---
```
864
×332
-----
1728 ← 864 × 2
2592 ← 864 × 30 = 25,920
25920 ← 864 × 300 = 259,200
--------
287,248
```
Add:
- 1,728 + 25,920 = 27,648
- 27,648 + 259,200 = 286,848
Wait — let’s compute carefully:
- 864 × 2 = 1,728
- 864 × 30 = 25,920
- 864 × 300 = 259,200
Now sum:
1,728
+25,920 = 27,648
+259,200 = 286,848
Answer: 286,848
---
This is larger. Let's break it down:
```
322
×949
-----
2898 ← 322 × 9
1288 ← 322 × 40 = 12,880
28980 ← 322 × 900 = 289,800
--------
305,578
```
Now add:
- 2,898 + 12,880 = 15,778
- 15,778 + 289,800 = 305,578
Answer: 305,578
---
```
551
×156
-----
3306 ← 551 × 6
2755 ← 551 × 50 = 27,550
5510 ← 551 × 100 = 55,100
--------
86,556
```
Add:
- 3,306 + 27,550 = 30,856
- 30,856 + 55,100 = 85,956
Wait — let's verify:
551 × 156
Break it:
- 551 × 100 = 55,100
- 551 × 50 = 27,550
- 551 × 6 = 3,306
Sum: 55,100 + 27,550 = 82,650
82,650 + 3,306 = 85,956
Answer: 85,956
---
```
215
×264
-----
860 ← 215 × 4
1290 ← 215 × 60 = 12,900
4300 ← 215 × 200 = 43,000
--------
56,760
```
Add:
- 860 + 12,900 = 13,760
- 13,760 + 43,000 = 56,760
Answer: 56,760
---
```
536
×856
-----
3216 ← 536 × 6
2680 ← 536 × 50 = 26,800
42880 ← 536 × 800 = 428,800
--------
458,816
```
Add:
- 3,216 + 26,800 = 30,016
- 30,016 + 428,800 = 458,816
Answer: 458,816
---
```
724
×123
-----
2172 ← 724 × 3
1448 ← 724 × 20 = 14,480
7240 ← 724 × 100 = 72,400
--------
89,052
```
Add:
- 2,172 + 14,480 = 16,652
- 16,652 + 72,400 = 89,052
Answer: 89,052
---
```
184
×566
-----
1104 ← 184 × 6
1080 ← 184 × 60 = 10,800
9200 ← 184 × 500 = 92,000
--------
103,904
```
Add:
- 1,104 + 10,800 = 11,904
- 11,904 + 92,000 = 103,904
Answer: 103,904
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 361 × 112 | 40,432 |
| 773 × 290 | 224,170 |
| 485 × 221 | 107,185 |
| 894 × 203 | 181,482 |
| 142 × 425 | 60,350 |
| 864 × 332 | 286,848 |
| 322 × 949 | 305,578 |
| 551 × 156 | 85,956 |
| 215 × 264 | 56,760 |
| 536 × 856 | 458,816 |
| 724 × 123 | 89,052 |
| 184 × 566 | 103,904 |
---
Let me know if you'd like these solutions formatted in a printable worksheet style or with visual steps!
---
1. 361 × 112
```
361
×112
-----
722 ← 361 × 2
3610 ← 361 × 10 (shifted one place left)
36100 ← 361 × 100 (shifted two places left)
-------
40432
```
Answer: 40,432
---
2. 773 × 290
Note: 290 = 29 × 10 → We can multiply by 29 first, then add a zero.
But let's do it directly:
```
773
×290
-----
0 ← 773 × 0
6957 ← 773 × 90 = 773 × 9 × 10 = 6957 × 10 = 69,570
15460 ← 773 × 200 = 773 × 2 × 100 = 1,546 × 100 = 154,600
--------
224,170
```
Wait — better to align properly:
```
773
×290
-----
0 ← 773 × 0
69570 ← 773 × 90 = 773 × 9 = 6,957 → ×10 → 69,570
154600 ← 773 × 200 = 773 × 2 = 1,546 → ×100 → 154,600
--------
224,170
```
Answer: 224,170
---
3. 485 × 221
```
485
×221
-----
485 ← 485 × 1
970 ← 485 × 20 = 9,700 (shifted left)
9700 ← 485 × 200 = 97,000 (shifted two places left)
--------
107,085
```
Add them:
- 485 + 9,700 = 10,185
- 10,185 + 97,000 = 107,185
Answer: 107,185
---
4. 894 × 203
```
894
×203
-----
2682 ← 894 × 3
0 ← 894 × 0 (tens place)
178800 ← 894 × 200 = 178,800
--------
181,482
```
Add:
- 2,682 + 178,800 = 181,482
Answer: 181,482
---
5. 142 × 425
```
142
×425
-----
710 ← 142 × 5
284 ← 142 × 20 = 2,840 (shifted)
568 ← 142 × 400 = 56,800 (shifted)
--------
60,250
```
Now add:
- 710 + 2,840 = 3,550
- 3,550 + 56,800 = 60,350
Wait! Let's check again:
Actually:
- 142 × 5 = 710
- 142 × 20 = 2,840
- 142 × 400 = 56,800
So total:
710 + 2,840 = 3,550
3,550 + 56,800 = 60,350
Answer: 60,350
---
6. 864 × 332
```
864
×332
-----
1728 ← 864 × 2
2592 ← 864 × 30 = 25,920
25920 ← 864 × 300 = 259,200
--------
287,248
```
Add:
- 1,728 + 25,920 = 27,648
- 27,648 + 259,200 = 286,848
Wait — let’s compute carefully:
- 864 × 2 = 1,728
- 864 × 30 = 25,920
- 864 × 300 = 259,200
Now sum:
1,728
+25,920 = 27,648
+259,200 = 286,848
Answer: 286,848
---
7. 322 × 949
This is larger. Let's break it down:
```
322
×949
-----
2898 ← 322 × 9
1288 ← 322 × 40 = 12,880
28980 ← 322 × 900 = 289,800
--------
305,578
```
Now add:
- 2,898 + 12,880 = 15,778
- 15,778 + 289,800 = 305,578
Answer: 305,578
---
8. 551 × 156
```
551
×156
-----
3306 ← 551 × 6
2755 ← 551 × 50 = 27,550
5510 ← 551 × 100 = 55,100
--------
86,556
```
Add:
- 3,306 + 27,550 = 30,856
- 30,856 + 55,100 = 85,956
Wait — let's verify:
551 × 156
Break it:
- 551 × 100 = 55,100
- 551 × 50 = 27,550
- 551 × 6 = 3,306
Sum: 55,100 + 27,550 = 82,650
82,650 + 3,306 = 85,956
Answer: 85,956
---
9. 215 × 264
```
215
×264
-----
860 ← 215 × 4
1290 ← 215 × 60 = 12,900
4300 ← 215 × 200 = 43,000
--------
56,760
```
Add:
- 860 + 12,900 = 13,760
- 13,760 + 43,000 = 56,760
Answer: 56,760
---
10. 536 × 856
```
536
×856
-----
3216 ← 536 × 6
2680 ← 536 × 50 = 26,800
42880 ← 536 × 800 = 428,800
--------
458,816
```
Add:
- 3,216 + 26,800 = 30,016
- 30,016 + 428,800 = 458,816
Answer: 458,816
---
11. 724 × 123
```
724
×123
-----
2172 ← 724 × 3
1448 ← 724 × 20 = 14,480
7240 ← 724 × 100 = 72,400
--------
89,052
```
Add:
- 2,172 + 14,480 = 16,652
- 16,652 + 72,400 = 89,052
Answer: 89,052
---
12. 184 × 566
```
184
×566
-----
1104 ← 184 × 6
1080 ← 184 × 60 = 10,800
9200 ← 184 × 500 = 92,000
--------
103,904
```
Add:
- 1,104 + 10,800 = 11,904
- 11,904 + 92,000 = 103,904
Answer: 103,904
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 361 × 112 | 40,432 |
| 773 × 290 | 224,170 |
| 485 × 221 | 107,185 |
| 894 × 203 | 181,482 |
| 142 × 425 | 60,350 |
| 864 × 332 | 286,848 |
| 322 × 949 | 305,578 |
| 551 × 156 | 85,956 |
| 215 × 264 | 56,760 |
| 536 × 856 | 458,816 |
| 724 × 123 | 89,052 |
| 184 × 566 | 103,904 |
---
Let me know if you'd like these solutions formatted in a printable worksheet style or with visual steps!
Parent Tip: Review the logic above to help your child master the concept of 3 digit by 3 digit multiplication worksheet.
