3 Digit by 4 Digit Multiplication Worksheet -#4 ... - Free Printable
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Step-by-step solution for: 3 Digit by 4 Digit Multiplication Worksheet -#4 ...
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 4 Digit Multiplication Worksheet -#4 ...
Let’s solve each multiplication problem one by one. I’ll calculate them carefully and double-check.
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1. 6779 × 601
Break it down:
6779 × 600 = 6779 × 6 × 100 = 40674 × 100 = 4,067,400
6779 × 1 = 6,779
Add: 4,067,400 + 6,779 = 4,074,179
✔ Check: 6779 × 601 = 6779 × (600 + 1) = correct.
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2. 5910 × 279
Break into parts:
5910 × 200 = 1,182,000
5910 × 70 = 413,700
5910 × 9 = 53,190
Add: 1,182,000 + 413,700 = 1,595,700
+ 53,190 = 1,648,890
✔ Check: 5910 × 279 = 5910 × (200 + 70 + 9) → correct.
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3. 1804 × 227
Break it:
1804 × 200 = 360,800
1804 × 20 = 36,080
1804 × 7 = 12,628
Add: 360,800 + 36,080 = 396,880
+ 12,628 = 409,508
✔ Check: 1804 × 227 = 1804 × (200 + 20 + 7) → correct.
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4. 8052 × 793
Break it:
8052 × 700 = 5,636,400
8052 × 90 = 724,680
8052 × 3 = 24,156
Add: 5,636,400 + 724,680 = 6,361,080
+ 24,156 = 6,385,236
✔ Check: 8052 × 793 = 8052 × (700 + 90 + 3) → correct.
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5. 4010 × 350
Easy way: 4010 × 35 × 10
First, 4010 × 35:
4010 × 30 = 120,300
4010 × 5 = 20,050
Sum: 120,300 + 20,050 = 140,350
Then ×10 → 1,403,500
✔ Check: 4010 × 350 = 4010 × 35 × 10 → correct.
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6. 1552 × 974
Break it:
1552 × 900 = 1,396,800
1552 × 70 = 108,640
1552 × 4 = 6,208
Add: 1,396,800 + 108,640 = 1,505,440
+ 6,208 = 1,511,648
✔ Check: 1552 × 974 = 1552 × (900 + 70 + 4) → correct.
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7. 4465 × 922
Break it:
4465 × 900 = 4,018,500
4465 × 20 = 89,300
4465 × 2 = 8,930
Add: 4,018,500 + 89,300 = 4,107,800
+ 8,930 = 4,116,730
✔ Check: 4465 × 922 = 4465 × (900 + 20 + 2) → correct.
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8. 5988 × 476
Break it:
5988 × 400 = 2,395,200
5988 × 70 = 419,160
5988 × 6 = 35,928
Add: 2,395,200 + 419,160 = 2,814,360
+ 35,928 = 2,850,288
✔ Check: 5988 × 476 = 5988 × (400 + 70 + 6) → correct.
---
9. 3576 × 925
Break it:
3576 × 900 = 3,218,400
3576 × 20 = 71,520
3576 × 5 = 17,880
Add: 3,218,400 + 71,520 = 3,289,920
+ 17,880 = 3,307,800
✔ Check: 3576 × 925 = 3576 × (900 + 20 + 5) → correct.
---
10. 8246 × 916
Break it:
8246 × 900 = 7,421,400
8246 × 10 = 82,460
8246 × 6 = 49,476
Add: 7,421,400 + 82,460 = 7,503,860
+ 49,476 = 7,553,336
✔ Check: 8246 × 916 = 8246 × (900 + 10 + 6) → correct.
---
11. 2463 × 713
Break it:
2463 × 700 = 1,724,100
2463 × 10 = 24,630
2463 × 3 = 7,389
Add: 1,724,100 + 24,630 = 1,748,730
+ 7,389 = 1,756,119
✔ Check: 2463 × 713 = 2463 × (700 + 10 + 3) → correct.
---
12. 3647 × 608
Break it:
3647 × 600 = 2,188,200
3647 × 8 = 29,176
Add: 2,188,200 + 29,176 = 2,217,376
✔ Check: 3647 × 608 = 3647 × (600 + 8) → correct.
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13. 1848 × 351
Break it:
1848 × 300 = 554,400
1848 × 50 = 92,400
1848 × 1 = 1,848
Add: 554,400 + 92,400 = 646,800
+ 1,848 = 648,648
✔ Check: 1848 × 351 = 1848 × (300 + 50 + 1) → correct.
---
14. 3647 × 661
Break it:
3647 × 600 = 2,188,200
3647 × 60 = 218,820
3647 × 1 = 3,647
Add: 2,188,200 + 218,820 = 2,407,020
+ 3,647 = 2,410,667
✔ Check: 3647 × 661 = 3647 × (600 + 60 + 1) → correct.
---
15. 7201 × 978
Break it:
7201 × 900 = 6,480,900
7201 × 70 = 504,070
7201 × 8 = 57,608
Add: 6,480,900 + 504,070 = 6,984,970
+ 57,608 = 7,042,578
✔ Check: 7201 × 978 = 7201 × (900 + 70 + 8) → correct.
---
16. 1489 × 942
Break it:
1489 × 900 = 1,340,100
1489 × 40 = 59,560
1489 × 2 = 2,978
Add: 1,340,100 + 59,560 = 1,399,660
+ 2,978 = 1,402,638
✔ Check: 1489 × 942 = 1489 × (900 + 40 + 2) → correct.
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17. 2378 × 169
Break it:
2378 × 100 = 237,800
2378 × 60 = 142,680
2378 × 9 = 21,402
Add: 237,800 + 142,680 = 380,480
+ 21,402 = 401,882
✔ Check: 2378 × 169 = 2378 × (100 + 60 + 9) → correct.
---
18. 3697 × 401
Break it:
3697 × 400 = 1,478,800
3697 × 1 = 3,697
Add: 1,478,800 + 3,697 = 1,482,497
✔ Check: 3697 × 401 = 3697 × (400 + 1) → correct.
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19. 8790 × 228
Break it:
8790 × 200 = 1,758,000
8790 × 20 = 175,800
8790 × 8 = 70,320
Add: 1,758,000 + 175,800 = 1,933,800
+ 70,320 = 2,004,120
✔ Check: 8790 × 228 = 8790 × (200 + 20 + 8) → correct.
---
20. 6028 × 344
Break it:
6028 × 300 = 1,808,400
6028 × 40 = 241,120
6028 × 4 = 24,112
Add: 1,808,400 + 241,120 = 2,049,520
+ 24,112 = 2,073,632
✔ Check: 6028 × 344 = 6028 × (300 + 40 + 4) → correct.
---
Final Answer:
4074179, 1648890, 409508, 6385236, 1403500, 1511648, 4116730, 2850288, 3307800, 7553336, 1756119, 2217376, 648648, 2410667, 7042578, 1402638, 401882, 1482497, 2004120, 2073632
---
1. 6779 × 601
Break it down:
6779 × 600 = 6779 × 6 × 100 = 40674 × 100 = 4,067,400
6779 × 1 = 6,779
Add: 4,067,400 + 6,779 = 4,074,179
✔ Check: 6779 × 601 = 6779 × (600 + 1) = correct.
---
2. 5910 × 279
Break into parts:
5910 × 200 = 1,182,000
5910 × 70 = 413,700
5910 × 9 = 53,190
Add: 1,182,000 + 413,700 = 1,595,700
+ 53,190 = 1,648,890
✔ Check: 5910 × 279 = 5910 × (200 + 70 + 9) → correct.
---
3. 1804 × 227
Break it:
1804 × 200 = 360,800
1804 × 20 = 36,080
1804 × 7 = 12,628
Add: 360,800 + 36,080 = 396,880
+ 12,628 = 409,508
✔ Check: 1804 × 227 = 1804 × (200 + 20 + 7) → correct.
---
4. 8052 × 793
Break it:
8052 × 700 = 5,636,400
8052 × 90 = 724,680
8052 × 3 = 24,156
Add: 5,636,400 + 724,680 = 6,361,080
+ 24,156 = 6,385,236
✔ Check: 8052 × 793 = 8052 × (700 + 90 + 3) → correct.
---
5. 4010 × 350
Easy way: 4010 × 35 × 10
First, 4010 × 35:
4010 × 30 = 120,300
4010 × 5 = 20,050
Sum: 120,300 + 20,050 = 140,350
Then ×10 → 1,403,500
✔ Check: 4010 × 350 = 4010 × 35 × 10 → correct.
---
6. 1552 × 974
Break it:
1552 × 900 = 1,396,800
1552 × 70 = 108,640
1552 × 4 = 6,208
Add: 1,396,800 + 108,640 = 1,505,440
+ 6,208 = 1,511,648
✔ Check: 1552 × 974 = 1552 × (900 + 70 + 4) → correct.
---
7. 4465 × 922
Break it:
4465 × 900 = 4,018,500
4465 × 20 = 89,300
4465 × 2 = 8,930
Add: 4,018,500 + 89,300 = 4,107,800
+ 8,930 = 4,116,730
✔ Check: 4465 × 922 = 4465 × (900 + 20 + 2) → correct.
---
8. 5988 × 476
Break it:
5988 × 400 = 2,395,200
5988 × 70 = 419,160
5988 × 6 = 35,928
Add: 2,395,200 + 419,160 = 2,814,360
+ 35,928 = 2,850,288
✔ Check: 5988 × 476 = 5988 × (400 + 70 + 6) → correct.
---
9. 3576 × 925
Break it:
3576 × 900 = 3,218,400
3576 × 20 = 71,520
3576 × 5 = 17,880
Add: 3,218,400 + 71,520 = 3,289,920
+ 17,880 = 3,307,800
✔ Check: 3576 × 925 = 3576 × (900 + 20 + 5) → correct.
---
10. 8246 × 916
Break it:
8246 × 900 = 7,421,400
8246 × 10 = 82,460
8246 × 6 = 49,476
Add: 7,421,400 + 82,460 = 7,503,860
+ 49,476 = 7,553,336
✔ Check: 8246 × 916 = 8246 × (900 + 10 + 6) → correct.
---
11. 2463 × 713
Break it:
2463 × 700 = 1,724,100
2463 × 10 = 24,630
2463 × 3 = 7,389
Add: 1,724,100 + 24,630 = 1,748,730
+ 7,389 = 1,756,119
✔ Check: 2463 × 713 = 2463 × (700 + 10 + 3) → correct.
---
12. 3647 × 608
Break it:
3647 × 600 = 2,188,200
3647 × 8 = 29,176
Add: 2,188,200 + 29,176 = 2,217,376
✔ Check: 3647 × 608 = 3647 × (600 + 8) → correct.
---
13. 1848 × 351
Break it:
1848 × 300 = 554,400
1848 × 50 = 92,400
1848 × 1 = 1,848
Add: 554,400 + 92,400 = 646,800
+ 1,848 = 648,648
✔ Check: 1848 × 351 = 1848 × (300 + 50 + 1) → correct.
---
14. 3647 × 661
Break it:
3647 × 600 = 2,188,200
3647 × 60 = 218,820
3647 × 1 = 3,647
Add: 2,188,200 + 218,820 = 2,407,020
+ 3,647 = 2,410,667
✔ Check: 3647 × 661 = 3647 × (600 + 60 + 1) → correct.
---
15. 7201 × 978
Break it:
7201 × 900 = 6,480,900
7201 × 70 = 504,070
7201 × 8 = 57,608
Add: 6,480,900 + 504,070 = 6,984,970
+ 57,608 = 7,042,578
✔ Check: 7201 × 978 = 7201 × (900 + 70 + 8) → correct.
---
16. 1489 × 942
Break it:
1489 × 900 = 1,340,100
1489 × 40 = 59,560
1489 × 2 = 2,978
Add: 1,340,100 + 59,560 = 1,399,660
+ 2,978 = 1,402,638
✔ Check: 1489 × 942 = 1489 × (900 + 40 + 2) → correct.
---
17. 2378 × 169
Break it:
2378 × 100 = 237,800
2378 × 60 = 142,680
2378 × 9 = 21,402
Add: 237,800 + 142,680 = 380,480
+ 21,402 = 401,882
✔ Check: 2378 × 169 = 2378 × (100 + 60 + 9) → correct.
---
18. 3697 × 401
Break it:
3697 × 400 = 1,478,800
3697 × 1 = 3,697
Add: 1,478,800 + 3,697 = 1,482,497
✔ Check: 3697 × 401 = 3697 × (400 + 1) → correct.
---
19. 8790 × 228
Break it:
8790 × 200 = 1,758,000
8790 × 20 = 175,800
8790 × 8 = 70,320
Add: 1,758,000 + 175,800 = 1,933,800
+ 70,320 = 2,004,120
✔ Check: 8790 × 228 = 8790 × (200 + 20 + 8) → correct.
---
20. 6028 × 344
Break it:
6028 × 300 = 1,808,400
6028 × 40 = 241,120
6028 × 4 = 24,112
Add: 1,808,400 + 241,120 = 2,049,520
+ 24,112 = 2,073,632
✔ Check: 6028 × 344 = 6028 × (300 + 40 + 4) → correct.
---
Final Answer:
4074179, 1648890, 409508, 6385236, 1403500, 1511648, 4116730, 2850288, 3307800, 7553336, 1756119, 2217376, 648648, 2410667, 7042578, 1402638, 401882, 1482497, 2004120, 2073632
Parent Tip: Review the logic above to help your child master the concept of 4 digit by 3 digit multiplication worksheet.