4-Digit by 3-Digit Multiplication Practice Worksheet
Worksheet titled "4-Digit by 3-Digit Multiplication (B)" with multiple multiplication problems involving 4-digit numbers multiplied by 3-digit numbers, designed for practice.
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Step-by-step solution for: The 4-Digit by 3-Digit Multiplication (B) Long Multiplication ...
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Show Answer Key & Explanations
Step-by-step solution for: The 4-Digit by 3-Digit Multiplication (B) Long Multiplication ...
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 process briefly, then give the final answer.
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Break down 169 into 100 + 60 + 9:
- 3,014 × 9 = 27,126
- 3,014 × 60 = 180,840
- 3,014 × 100 = 301,400
Now add:
27,126 + 180,840 = 207,966
207,966 + 301,400 = 509,366
✔ Answer: 509,366
---
Break 811 into 800 + 10 + 1:
- 7,489 × 1 = 7,489
- 7,489 × 10 = 74,890
- 7,489 × 800 = 5,991,200
Add:
7,489 + 74,890 = 82,379
82,379 + 5,991,200 = 6,073,579
✔ Answer: 6,073,579
---
Break 931 into 900 + 30 + 1:
- 8,580 × 1 = 8,580
- 8,580 × 30 = 257,400
- 8,580 × 900 = 7,722,000
Add:
8,580 + 257,400 = 265,980
265,980 + 7,722,000 = 7,987,980
✔ Answer: 7,987,980
---
Break 138 into 100 + 30 + 8:
- 2,819 × 8 = 22,552
- 2,819 × 30 = 84,570
- 2,819 × 100 = 281,900
Add:
22,552 + 84,570 = 107,122
107,122 + 281,900 = 389,022
✔ Answer: 389,022
---
Break 647 into 600 + 40 + 7:
- 7,895 × 7 = 55,265
- 7,895 × 40 = 315,800
- 7,895 × 600 = 4,737,000
Add:
55,265 + 315,800 = 371,065
371,065 + 4,737,000 = 5,108,065
✔ Answer: 5,108,065
---
Note: 399 = 400 - 1 → Use distributive property:
- 2,816 × 400 = 1,126,400
- 2,816 × 1 = 2,816
- Subtract: 1,126,400 - 2,816 = 1,123,584
✔ Answer: 1,123,584
---
Break 888 into 800 + 80 + 8:
- 8,530 × 8 = 68,240
- 8,530 × 80 = 682,400
- 8,530 × 800 = 6,824,000
Add:
68,240 + 682,400 = 750,640
750,640 + 6,824,000 = 7,574,640
✔ Answer: 7,574,640
---
Break 115 into 100 + 10 + 5:
- 6,659 × 5 = 33,295
- 6,659 × 10 = 66,590
- 6,659 × 100 = 665,900
Add:
33,295 + 66,590 = 99,885
99,885 + 665,900 = 765,785
✔ Answer: 765,785
---
Break 562 into 500 + 60 + 2:
- 1,838 × 2 = 3,676
- 1,838 × 60 = 110,280
- 1,838 × 500 = 919,000
Add:
3,676 + 110,280 = 113,956
113,956 + 919,000 = 1,032,956
✔ Answer: 1,032,956
---
Break 164 into 100 + 60 + 4:
- 8,969 × 4 = 35,876
- 8,969 × 60 = 538,140
- 8,969 × 100 = 896,900
Add:
35,876 + 538,140 = 574,016
574,016 + 896,900 = 1,470,916
✔ Answer: 1,470,916
---
Break 282 into 200 + 80 + 2:
- 3,917 × 2 = 7,834
- 3,917 × 80 = 313,360
- 3,917 × 200 = 783,400
Add:
7,834 + 313,360 = 321,194
321,194 + 783,400 = 1,104,594
✔ Answer: 1,104,594
---
Break 629 into 600 + 20 + 9:
- 1,728 × 9 = 15,552
- 1,728 × 20 = 34,560
- 1,728 × 600 = 1,036,800
Add:
15,552 + 34,560 = 50,112
50,112 + 1,036,800 = 1,086,912
✔ Answer: 1,086,912
---
Break 497 into 400 + 90 + 7:
- 9,033 × 7 = 63,231
- 9,033 × 90 = 812,970
- 9,033 × 400 = 3,613,200
Add:
63,231 + 812,970 = 876,201
876,201 + 3,613,200 = 4,489,401
✔ Answer: 4,489,401
---
Break 972 into 900 + 70 + 2:
- 8,431 × 2 = 16,862
- 8,431 × 70 = 589,170
- 8,431 × 900 = 7,587,900
Add:
16,862 + 589,170 = 606,032
606,032 + 7,587,900 = 8,193,932
✔ Answer: 8,193,932
---
Break 345 into 300 + 40 + 5:
- 6,195 × 5 = 30,975
- 6,195 × 40 = 247,800
- 6,195 × 300 = 1,858,500
Add:
30,975 + 247,800 = 278,775
278,775 + 1,858,500 = 2,137,275
✔ Answer: 2,137,275
---
Note: 150 = 100 + 50
- 7,805 × 100 = 780,500
- 7,805 × 50 = 390,250
Add:
780,500 + 390,250 = 1,170,750
✔ Answer: 1,170,750
---
Break 756 into 700 + 50 + 6:
- 5,233 × 6 = 31,398
- 5,233 × 50 = 261,650
- 5,233 × 700 = 3,663,100
Add:
31,398 + 261,650 = 293,048
293,048 + 3,663,100 = 3,956,148
✔ Answer: 3,956,148
---
Break 734 into 700 + 30 + 4:
- 3,564 × 4 = 14,256
- 3,564 × 30 = 106,920
- 3,564 × 700 = 2,494,800
Add:
14,256 + 106,920 = 121,176
121,176 + 2,494,800 = 2,615,976
✔ Answer: 2,615,976
---
Break 785 into 700 + 80 + 5:
- 2,013 × 5 = 10,065
- 2,013 × 80 = 161,040
- 2,013 × 700 = 1,409,100
Add:
10,065 + 161,040 = 171,105
171,105 + 1,409,100 = 1,580,205
✔ Answer: 1,580,205
---
Break 304 into 300 + 4:
- 9,008 × 4 = 36,032
- 9,008 × 300 = 2,702,400
Add:
36,032 + 2,702,400 = 2,738,432
✔ Answer: 2,738,432
---
1. 509,366
2. 6,073,579
3. 7,987,980
4. 389,022
5. 5,108,065
6. 1,123,584
7. 7,574,640
8. 765,785
9. 1,032,956
10. 1,470,916
11. 1,104,594
12. 1,086,912
13. 4,489,401
14. 8,193,932
15. 2,137,275
16. 1,170,750
17. 3,956,148
18. 2,615,976
19. 1,580,205
20. 2,738,432
Let me know if you'd like a printable version or explanation for any specific problem!
---
1. 3,014 × 169
Break down 169 into 100 + 60 + 9:
- 3,014 × 9 = 27,126
- 3,014 × 60 = 180,840
- 3,014 × 100 = 301,400
Now add:
27,126 + 180,840 = 207,966
207,966 + 301,400 = 509,366
✔ Answer: 509,366
---
2. 7,489 × 811
Break 811 into 800 + 10 + 1:
- 7,489 × 1 = 7,489
- 7,489 × 10 = 74,890
- 7,489 × 800 = 5,991,200
Add:
7,489 + 74,890 = 82,379
82,379 + 5,991,200 = 6,073,579
✔ Answer: 6,073,579
---
3. 8,580 × 931
Break 931 into 900 + 30 + 1:
- 8,580 × 1 = 8,580
- 8,580 × 30 = 257,400
- 8,580 × 900 = 7,722,000
Add:
8,580 + 257,400 = 265,980
265,980 + 7,722,000 = 7,987,980
✔ Answer: 7,987,980
---
4. 2,819 × 138
Break 138 into 100 + 30 + 8:
- 2,819 × 8 = 22,552
- 2,819 × 30 = 84,570
- 2,819 × 100 = 281,900
Add:
22,552 + 84,570 = 107,122
107,122 + 281,900 = 389,022
✔ Answer: 389,022
---
5. 7,895 × 647
Break 647 into 600 + 40 + 7:
- 7,895 × 7 = 55,265
- 7,895 × 40 = 315,800
- 7,895 × 600 = 4,737,000
Add:
55,265 + 315,800 = 371,065
371,065 + 4,737,000 = 5,108,065
✔ Answer: 5,108,065
---
6. 2,816 × 399
Note: 399 = 400 - 1 → Use distributive property:
- 2,816 × 400 = 1,126,400
- 2,816 × 1 = 2,816
- Subtract: 1,126,400 - 2,816 = 1,123,584
✔ Answer: 1,123,584
---
7. 8,530 × 888
Break 888 into 800 + 80 + 8:
- 8,530 × 8 = 68,240
- 8,530 × 80 = 682,400
- 8,530 × 800 = 6,824,000
Add:
68,240 + 682,400 = 750,640
750,640 + 6,824,000 = 7,574,640
✔ Answer: 7,574,640
---
8. 6,659 × 115
Break 115 into 100 + 10 + 5:
- 6,659 × 5 = 33,295
- 6,659 × 10 = 66,590
- 6,659 × 100 = 665,900
Add:
33,295 + 66,590 = 99,885
99,885 + 665,900 = 765,785
✔ Answer: 765,785
---
9. 1,838 × 562
Break 562 into 500 + 60 + 2:
- 1,838 × 2 = 3,676
- 1,838 × 60 = 110,280
- 1,838 × 500 = 919,000
Add:
3,676 + 110,280 = 113,956
113,956 + 919,000 = 1,032,956
✔ Answer: 1,032,956
---
10. 8,969 × 164
Break 164 into 100 + 60 + 4:
- 8,969 × 4 = 35,876
- 8,969 × 60 = 538,140
- 8,969 × 100 = 896,900
Add:
35,876 + 538,140 = 574,016
574,016 + 896,900 = 1,470,916
✔ Answer: 1,470,916
---
11. 3,917 × 282
Break 282 into 200 + 80 + 2:
- 3,917 × 2 = 7,834
- 3,917 × 80 = 313,360
- 3,917 × 200 = 783,400
Add:
7,834 + 313,360 = 321,194
321,194 + 783,400 = 1,104,594
✔ Answer: 1,104,594
---
12. 1,728 × 629
Break 629 into 600 + 20 + 9:
- 1,728 × 9 = 15,552
- 1,728 × 20 = 34,560
- 1,728 × 600 = 1,036,800
Add:
15,552 + 34,560 = 50,112
50,112 + 1,036,800 = 1,086,912
✔ Answer: 1,086,912
---
13. 9,033 × 497
Break 497 into 400 + 90 + 7:
- 9,033 × 7 = 63,231
- 9,033 × 90 = 812,970
- 9,033 × 400 = 3,613,200
Add:
63,231 + 812,970 = 876,201
876,201 + 3,613,200 = 4,489,401
✔ Answer: 4,489,401
---
14. 8,431 × 972
Break 972 into 900 + 70 + 2:
- 8,431 × 2 = 16,862
- 8,431 × 70 = 589,170
- 8,431 × 900 = 7,587,900
Add:
16,862 + 589,170 = 606,032
606,032 + 7,587,900 = 8,193,932
✔ Answer: 8,193,932
---
15. 6,195 × 345
Break 345 into 300 + 40 + 5:
- 6,195 × 5 = 30,975
- 6,195 × 40 = 247,800
- 6,195 × 300 = 1,858,500
Add:
30,975 + 247,800 = 278,775
278,775 + 1,858,500 = 2,137,275
✔ Answer: 2,137,275
---
16. 7,805 × 150
Note: 150 = 100 + 50
- 7,805 × 100 = 780,500
- 7,805 × 50 = 390,250
Add:
780,500 + 390,250 = 1,170,750
✔ Answer: 1,170,750
---
17. 5,233 × 756
Break 756 into 700 + 50 + 6:
- 5,233 × 6 = 31,398
- 5,233 × 50 = 261,650
- 5,233 × 700 = 3,663,100
Add:
31,398 + 261,650 = 293,048
293,048 + 3,663,100 = 3,956,148
✔ Answer: 3,956,148
---
18. 3,564 × 734
Break 734 into 700 + 30 + 4:
- 3,564 × 4 = 14,256
- 3,564 × 30 = 106,920
- 3,564 × 700 = 2,494,800
Add:
14,256 + 106,920 = 121,176
121,176 + 2,494,800 = 2,615,976
✔ Answer: 2,615,976
---
19. 2,013 × 785
Break 785 into 700 + 80 + 5:
- 2,013 × 5 = 10,065
- 2,013 × 80 = 161,040
- 2,013 × 700 = 1,409,100
Add:
10,065 + 161,040 = 171,105
171,105 + 1,409,100 = 1,580,205
✔ Answer: 1,580,205
---
20. 9,008 × 304
Break 304 into 300 + 4:
- 9,008 × 4 = 36,032
- 9,008 × 300 = 2,702,400
Add:
36,032 + 2,702,400 = 2,738,432
✔ Answer: 2,738,432
---
✔ Final Answers (in order):
1. 509,366
2. 6,073,579
3. 7,987,980
4. 389,022
5. 5,108,065
6. 1,123,584
7. 7,574,640
8. 765,785
9. 1,032,956
10. 1,470,916
11. 1,104,594
12. 1,086,912
13. 4,489,401
14. 8,193,932
15. 2,137,275
16. 1,170,750
17. 3,956,148
18. 2,615,976
19. 1,580,205
20. 2,738,432
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 multiplication by 3 and 4 worksheet.
