3-Digit by 3-Digit Multiplication Worksheet (A) - Math Drills
A math worksheet titled "3-Digit by 3-Digit Multiplication (A)" with ten multiplication problems, each involving two 3-digit numbers, designed for practice and assessment.
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Step-by-step solution for: Multiplying 3-Digit by 3-Digit Numbers (A)
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying 3-Digit by 3-Digit Numbers (A)
Let's solve each of the 3-digit by 3-digit multiplication problems step by step. I'll calculate each product and explain the method briefly.
---
Break it down:
- 995 × 800 = 796,000
- 995 × 60 = 59,700
- 995 × 6 = 5,970
Add them:
796,000 + 59,700 = 855,700
855,700 + 5,970 = 861,670
✔ Answer: 861,670
---
Break it down:
- 124 × 200 = 24,800
- 124 × 9 = 1,116
Add: 24,800 + 1,116 = 25,916
✔ Answer: 25,916
---
Use standard multiplication:
```
831
×674
-----
3324 (831 × 4)
5817 (831 × 70 = 58,170 → shifted one place left)
4986 (831 × 600 = 498,600 → shifted two places left)
-------
559,394
```
Add:
- 3,324
- 58,170 → total so far: 61,494
- 498,600 → total: 61,494 + 498,600 = 560,094
Wait — let's do it carefully:
Actually:
- 831 × 4 = 3,324
- 831 × 70 = 58,170
- 831 × 600 = 498,600
Now add:
3,324 + 58,170 = 61,494
61,494 + 498,600 = 560,094
✔ Answer: 560,094
---
Note: 730 = 73 × 10 → we can compute 188 × 73 then × 10
188 × 73:
- 188 × 70 = 13,160
- 188 × 3 = 564
- Total: 13,160 + 564 = 13,724
Then ×10: 137,240
✔ Answer: 137,240
---
Break down:
- 493 × 900 = 443,700
- 493 × 5 = 2,465
Add: 443,700 + 2,465 = 446,165
✔ Answer: 446,165
---
230 = 23 × 10 → compute 23 × 769 then ×10
23 × 769:
- 20 × 769 = 15,380
- 3 × 769 = 2,307
- Total: 15,380 + 2,307 = 17,687
×10 = 176,870
✔ Answer: 176,870
---
Break into:
- 628 × 400 = 251,200
- 628 × 2 = 1,256
Add: 251,200 + 1,256 = 252,456
✔ Answer: 252,456
---
This is easy:
898 × 300 = 898 × 3 × 100 = 2,694 × 100 = 269,400
✔ Answer: 269,400
---
350 = 35 × 10 → compute 559 × 35 × 10
559 × 35:
- 559 × 30 = 16,770
- 559 × 5 = 2,795
- Total: 16,770 + 2,795 = 19,565
×10 = 195,650
✔ Answer: 195,650
---
Break down:
- 321 × 800 = 256,800
- 321 × 90 = 28,890
- 321 × 8 = 2,568
Add:
256,800 + 28,890 = 285,690
285,690 + 2,568 = 288,258
✔ Answer: 288,258
---
Use standard multiplication:
```
665
×648
------
5320 (665 × 8)
2660 (665 × 40 = 26,600 → shift)
3990 (665 × 600 = 399,000 → shift)
-------
430,320
```
Step-by-step:
- 665 × 8 = 5,320
- 665 × 40 = 26,600
- 665 × 600 = 399,000
Now sum:
5,320 + 26,600 = 31,920
31,920 + 399,000 = 430,920
Wait — correction:
Actually:
665 × 648
We can compute:
- 665 × 600 = 399,000
- 665 × 40 = 26,600
- 665 × 8 = 5,320
Sum:
399,000 + 26,600 = 425,600
425,600 + 5,320 = 430,920
✔ Answer: 430,920
---
Break down:
- 138 × 400 = 55,200
- 138 × 40 = 5,520
- 138 × 1 = 138
Add:
55,200 + 5,520 = 60,720
60,720 + 138 = 60,858
✔ Answer: 60,858
---
Note: 398 = 400 - 2 → use distributive property
372 × 400 = 148,800
372 × 2 = 744
So: 148,800 - 744 = 148,056
✔ Answer: 148,056
---
Break down:
- 813 × 200 = 162,600
- 813 × 8 = 6,504
Add: 162,600 + 6,504 = 169,104
✔ Answer: 169,104
---
650 × 600 = 390,000
But 599 = 600 - 1 → so subtract 650
390,000 - 650 = 389,350
✔ Answer: 389,350
---
440 × 900 = 396,000
440 × 1 = 440
Total: 396,000 + 440 = 396,440
✔ Answer: 396,440
---
Break into:
- 382 × 900 = 343,800
- 382 × 20 = 7,640
- 382 × 8 = 3,056
Add:
343,800 + 7,640 = 351,440
351,440 + 3,056 = 354,496
✔ Answer: 354,496
---
Break down:
- 235 × 100 = 23,500
- 235 × 10 = 2,350
- 235 × 1 = 235
Add: 23,500 + 2,350 = 25,850 + 235 = 26,085
✔ Answer: 26,085
---
Break down:
- 342 × 400 = 136,800
- 342 × 70 = 23,940
- 342 × 3 = 1,026
Add:
136,800 + 23,940 = 160,740
160,740 + 1,026 = 161,766
✔ Answer: 161,766
---
Break down:
- 261 × 500 = 130,500
- 261 × 80 = 20,880
- 261 × 9 = 2,349
Add:
130,500 + 20,880 = 151,380
151,380 + 2,349 = 153,729
✔ Answer: 153,729
---
1. 861,670
2. 25,916
3. 560,094
4. 137,240
5. 446,165
6. 176,870
7. 252,456
8. 269,400
9. 195,650
10. 288,258
11. 430,920
12. 60,858
13. 148,056
14. 169,104
15. 389,350
16. 396,440
17. 354,496
18. 26,085
19. 161,766
20. 153,729
---
You can now fill in the answers on your worksheet!
Let me know if you'd like a printable version or explanation for any specific problem!
---
1. 995 × 866
Break it down:
- 995 × 800 = 796,000
- 995 × 60 = 59,700
- 995 × 6 = 5,970
Add them:
796,000 + 59,700 = 855,700
855,700 + 5,970 = 861,670
✔ Answer: 861,670
---
2. 124 × 209
Break it down:
- 124 × 200 = 24,800
- 124 × 9 = 1,116
Add: 24,800 + 1,116 = 25,916
✔ Answer: 25,916
---
3. 831 × 674
Use standard multiplication:
```
831
×674
-----
3324 (831 × 4)
5817 (831 × 70 = 58,170 → shifted one place left)
4986 (831 × 600 = 498,600 → shifted two places left)
-------
559,394
```
Add:
- 3,324
- 58,170 → total so far: 61,494
- 498,600 → total: 61,494 + 498,600 = 560,094
Wait — let's do it carefully:
Actually:
- 831 × 4 = 3,324
- 831 × 70 = 58,170
- 831 × 600 = 498,600
Now add:
3,324 + 58,170 = 61,494
61,494 + 498,600 = 560,094
✔ Answer: 560,094
---
4. 188 × 730
Note: 730 = 73 × 10 → we can compute 188 × 73 then × 10
188 × 73:
- 188 × 70 = 13,160
- 188 × 3 = 564
- Total: 13,160 + 564 = 13,724
Then ×10: 137,240
✔ Answer: 137,240
---
5. 493 × 905
Break down:
- 493 × 900 = 443,700
- 493 × 5 = 2,465
Add: 443,700 + 2,465 = 446,165
✔ Answer: 446,165
---
6. 230 × 769
230 = 23 × 10 → compute 23 × 769 then ×10
23 × 769:
- 20 × 769 = 15,380
- 3 × 769 = 2,307
- Total: 15,380 + 2,307 = 17,687
×10 = 176,870
✔ Answer: 176,870
---
7. 628 × 402
Break into:
- 628 × 400 = 251,200
- 628 × 2 = 1,256
Add: 251,200 + 1,256 = 252,456
✔ Answer: 252,456
---
8. 898 × 300
This is easy:
898 × 300 = 898 × 3 × 100 = 2,694 × 100 = 269,400
✔ Answer: 269,400
---
9. 559 × 350
350 = 35 × 10 → compute 559 × 35 × 10
559 × 35:
- 559 × 30 = 16,770
- 559 × 5 = 2,795
- Total: 16,770 + 2,795 = 19,565
×10 = 195,650
✔ Answer: 195,650
---
10. 321 × 898
Break down:
- 321 × 800 = 256,800
- 321 × 90 = 28,890
- 321 × 8 = 2,568
Add:
256,800 + 28,890 = 285,690
285,690 + 2,568 = 288,258
✔ Answer: 288,258
---
11. 665 × 648
Use standard multiplication:
```
665
×648
------
5320 (665 × 8)
2660 (665 × 40 = 26,600 → shift)
3990 (665 × 600 = 399,000 → shift)
-------
430,320
```
Step-by-step:
- 665 × 8 = 5,320
- 665 × 40 = 26,600
- 665 × 600 = 399,000
Now sum:
5,320 + 26,600 = 31,920
31,920 + 399,000 = 430,920
Wait — correction:
Actually:
665 × 648
We can compute:
- 665 × 600 = 399,000
- 665 × 40 = 26,600
- 665 × 8 = 5,320
Sum:
399,000 + 26,600 = 425,600
425,600 + 5,320 = 430,920
✔ Answer: 430,920
---
12. 138 × 441
Break down:
- 138 × 400 = 55,200
- 138 × 40 = 5,520
- 138 × 1 = 138
Add:
55,200 + 5,520 = 60,720
60,720 + 138 = 60,858
✔ Answer: 60,858
---
13. 372 × 398
Note: 398 = 400 - 2 → use distributive property
372 × 400 = 148,800
372 × 2 = 744
So: 148,800 - 744 = 148,056
✔ Answer: 148,056
---
14. 813 × 208
Break down:
- 813 × 200 = 162,600
- 813 × 8 = 6,504
Add: 162,600 + 6,504 = 169,104
✔ Answer: 169,104
---
15. 650 × 599
650 × 600 = 390,000
But 599 = 600 - 1 → so subtract 650
390,000 - 650 = 389,350
✔ Answer: 389,350
---
16. 440 × 901
440 × 900 = 396,000
440 × 1 = 440
Total: 396,000 + 440 = 396,440
✔ Answer: 396,440
---
17. 382 × 928
Break into:
- 382 × 900 = 343,800
- 382 × 20 = 7,640
- 382 × 8 = 3,056
Add:
343,800 + 7,640 = 351,440
351,440 + 3,056 = 354,496
✔ Answer: 354,496
---
18. 235 × 111
Break down:
- 235 × 100 = 23,500
- 235 × 10 = 2,350
- 235 × 1 = 235
Add: 23,500 + 2,350 = 25,850 + 235 = 26,085
✔ Answer: 26,085
---
19. 342 × 473
Break down:
- 342 × 400 = 136,800
- 342 × 70 = 23,940
- 342 × 3 = 1,026
Add:
136,800 + 23,940 = 160,740
160,740 + 1,026 = 161,766
✔ Answer: 161,766
---
20. 261 × 589
Break down:
- 261 × 500 = 130,500
- 261 × 80 = 20,880
- 261 × 9 = 2,349
Add:
130,500 + 20,880 = 151,380
151,380 + 2,349 = 153,729
✔ Answer: 153,729
---
✔ Final Answers:
1. 861,670
2. 25,916
3. 560,094
4. 137,240
5. 446,165
6. 176,870
7. 252,456
8. 269,400
9. 195,650
10. 288,258
11. 430,920
12. 60,858
13. 148,056
14. 169,104
15. 389,350
16. 396,440
17. 354,496
18. 26,085
19. 161,766
20. 153,729
---
You can now fill in the answers on your worksheet!
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 3 digit multiplication worksheet grade 3.
