Multiplication Worksheet for practicing multi-digit multiplication problems.
Multiplication worksheet with 12 problems, each involving a 4-digit number multiplied by a 3-digit number, designed for math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Multiple Digit Multiplication Worksheet 7 | All Kids Network
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Show Answer Key & Explanations
Step-by-step solution for: Multiple Digit Multiplication Worksheet 7 | All Kids Network
Let’s solve each multiplication problem step by step. We’ll do them one at a time, carefully multiplying the numbers.
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First row:
1. 8105 × 204
Break it down:
- 8105 × 200 = 8105 × 2 × 100 = 16210 × 100 = 1,621,000
- 8105 × 4 = 32,420
- Add them: 1,621,000 + 32,420 = 1,653,420
✔ Check:
8105 × 204
= 8105 × (200 + 4)
= 8105×200 + 8105×4
= 1,621,000 + 32,420 = 1,653,420
---
2. 5762 × 761
Break it down:
- 5762 × 700 = 5762 × 7 × 100 = 40,334 × 100 = 4,033,400
- 5762 × 60 = 5762 × 6 × 10 = 34,572 × 10 = 345,720
- 5762 × 1 = 5,762
- Add them: 4,033,400 + 345,720 = 4,379,120 → + 5,762 = 4,384,882
✔ Check:
5762 × 761
= 5762 × (700 + 60 + 1)
= 4,033,400 + 345,720 + 5,762 = 4,384,882
---
3. 2918 × 762
Break it down:
- 2918 × 700 = 2918 × 7 × 100 = 20,426 × 100 = 2,042,600
- 2918 × 60 = 2918 × 6 × 10 = 17,508 × 10 = 175,080
- 2918 × 2 = 5,836
- Add: 2,042,600 + 175,080 = 2,217,680 → + 5,836 = 2,223,516
✔ Check:
2918 × 762
= 2918 × (700 + 60 + 2)
= 2,042,600 + 175,080 + 5,836 = 2,223,516
---
4. 9146 × 516
Break it down:
- 9146 × 500 = 9146 × 5 × 100 = 45,730 × 100 = 4,573,000
- 9146 × 10 = 91,460
- 9146 × 6 = 54,876
- Add: 4,573,000 + 91,460 = 4,664,460 → + 54,876 = 4,719,336
✔ Check:
9146 × 516
= 9146 × (500 + 10 + 6)
= 4,573,000 + 91,460 + 54,876 = 4,719,336
---
Second row:
5. 4699 × 778
Break it down:
- 4699 × 700 = 4699 × 7 × 100 = 32,893 × 100 = 3,289,300
- 4699 × 70 = 4699 × 7 × 10 = 32,893 × 10 = 328,930
- 4699 × 8 = 37,592
- Add: 3,289,300 + 328,930 = 3,618,230 → + 37,592 = 3,655,822
✔ Check:
4699 × 778
= 4699 × (700 + 70 + 8)
= 3,289,300 + 328,930 + 37,592 = 3,655,822
---
6. 8458 × 466
Break it down:
- 8458 × 400 = 8458 × 4 × 100 = 33,832 × 100 = 3,383,200
- 8458 × 60 = 8458 × 6 × 10 = 50,748 × 10 = 507,480
- 8458 × 6 = 50,748
- Add: 3,383,200 + 507,480 = 3,890,680 → + 50,748 = 3,941,428
✔ Check:
8458 × 466
= 8458 × (400 + 60 + 6)
= 3,383,200 + 507,480 + 50,748 = 3,941,428
---
7. 8419 × 913
Break it down:
- 8419 × 900 = 8419 × 9 × 100 = 75,771 × 100 = 7,577,100
- 8419 × 10 = 84,190
- 8419 × 3 = 25,257
- Add: 7,577,100 + 84,190 = 7,661,290 → + 25,257 = 7,686,547
✔ Check:
8419 × 913
= 8419 × (900 + 10 + 3)
= 7,577,100 + 84,190 + 25,257 = 7,686,547
---
8. 3823 × 638
Break it down:
- 3823 × 600 = 3823 × 6 × 100 = 22,938 × 100 = 2,293,800
- 3823 × 30 = 3823 × 3 × 10 = 11,469 × 10 = 114,690
- 3823 × 8 = 30,584
- Add: 2,293,800 + 114,690 = 2,408,490 → + 30,584 = 2,439,074
✔ Check:
3823 × 638
= 3823 × (600 + 30 + 8)
= 2,293,800 + 114,690 + 30,584 = 2,439,074
---
Third row:
9. 6220 × 502
Break it down:
- 6220 × 500 = 6220 × 5 × 100 = 31,100 × 100 = 3,110,000
- 6220 × 2 = 12,440
- Add: 3,110,000 + 12,440 = 3,122,440
✔ Check:
6220 × 502
= 6220 × (500 + 2)
= 3,110,000 + 12,440 = 3,122,440
---
10. 6672 × 417
Break it down:
- 6672 × 400 = 6672 × 4 × 100 = 26,688 × 100 = 2,668,800
- 6672 × 10 = 66,720
- 6672 × 7 = 46,704
- Add: 2,668,800 + 66,720 = 2,735,520 → + 46,704 = 2,782,224
✔ Check:
6672 × 417
= 6672 × (400 + 10 + 7)
= 2,668,800 + 66,720 + 46,704 = 2,782,224
---
11. 2723 × 319
Break it down:
- 2723 × 300 = 2723 × 3 × 100 = 8,169 × 100 = 816,900
- 2723 × 10 = 27,230
- 2723 × 9 = 24,507
- Add: 816,900 + 27,230 = 844,130 → + 24,507 = 868,637
✔ Check:
2723 × 319
= 2723 × (300 + 10 + 9)
= 816,900 + 27,230 + 24,507 = 868,637
---
12. 7762 × 971
Break it down:
- 7762 × 900 = 7762 × 9 × 100 = 69,858 × 100 = 6,985,800
- 7762 × 70 = 7762 × 7 × 10 = 54,334 × 10 = 543,340
- 7762 × 1 = 7,762
- Add: 6,985,800 + 543,340 = 7,529,140 → + 7,762 = 7,536,902
✔ Check:
7762 × 971
= 7762 × (900 + 70 + 1)
= 6,985,800 + 543,340 + 7,762 = 7,536,902
---
Final Answer:
1. 8105 × 204 = 1,653,420
2. 5762 × 761 = 4,384,882
3. 2918 × 762 = 2,223,516
4. 9146 × 516 = 4,719,336
5. 4699 × 778 = 3,655,822
6. 8458 × 466 = 3,941,428
7. 8419 × 913 = 7,686,547
8. 3823 × 638 = 2,439,074
9. 6220 × 502 = 3,122,440
10. 6672 × 417 = 2,782,224
11. 2723 × 319 = 868,637
12. 7762 × 971 = 7,536,902
---
First row:
1. 8105 × 204
Break it down:
- 8105 × 200 = 8105 × 2 × 100 = 16210 × 100 = 1,621,000
- 8105 × 4 = 32,420
- Add them: 1,621,000 + 32,420 = 1,653,420
✔ Check:
8105 × 204
= 8105 × (200 + 4)
= 8105×200 + 8105×4
= 1,621,000 + 32,420 = 1,653,420
---
2. 5762 × 761
Break it down:
- 5762 × 700 = 5762 × 7 × 100 = 40,334 × 100 = 4,033,400
- 5762 × 60 = 5762 × 6 × 10 = 34,572 × 10 = 345,720
- 5762 × 1 = 5,762
- Add them: 4,033,400 + 345,720 = 4,379,120 → + 5,762 = 4,384,882
✔ Check:
5762 × 761
= 5762 × (700 + 60 + 1)
= 4,033,400 + 345,720 + 5,762 = 4,384,882
---
3. 2918 × 762
Break it down:
- 2918 × 700 = 2918 × 7 × 100 = 20,426 × 100 = 2,042,600
- 2918 × 60 = 2918 × 6 × 10 = 17,508 × 10 = 175,080
- 2918 × 2 = 5,836
- Add: 2,042,600 + 175,080 = 2,217,680 → + 5,836 = 2,223,516
✔ Check:
2918 × 762
= 2918 × (700 + 60 + 2)
= 2,042,600 + 175,080 + 5,836 = 2,223,516
---
4. 9146 × 516
Break it down:
- 9146 × 500 = 9146 × 5 × 100 = 45,730 × 100 = 4,573,000
- 9146 × 10 = 91,460
- 9146 × 6 = 54,876
- Add: 4,573,000 + 91,460 = 4,664,460 → + 54,876 = 4,719,336
✔ Check:
9146 × 516
= 9146 × (500 + 10 + 6)
= 4,573,000 + 91,460 + 54,876 = 4,719,336
---
Second row:
5. 4699 × 778
Break it down:
- 4699 × 700 = 4699 × 7 × 100 = 32,893 × 100 = 3,289,300
- 4699 × 70 = 4699 × 7 × 10 = 32,893 × 10 = 328,930
- 4699 × 8 = 37,592
- Add: 3,289,300 + 328,930 = 3,618,230 → + 37,592 = 3,655,822
✔ Check:
4699 × 778
= 4699 × (700 + 70 + 8)
= 3,289,300 + 328,930 + 37,592 = 3,655,822
---
6. 8458 × 466
Break it down:
- 8458 × 400 = 8458 × 4 × 100 = 33,832 × 100 = 3,383,200
- 8458 × 60 = 8458 × 6 × 10 = 50,748 × 10 = 507,480
- 8458 × 6 = 50,748
- Add: 3,383,200 + 507,480 = 3,890,680 → + 50,748 = 3,941,428
✔ Check:
8458 × 466
= 8458 × (400 + 60 + 6)
= 3,383,200 + 507,480 + 50,748 = 3,941,428
---
7. 8419 × 913
Break it down:
- 8419 × 900 = 8419 × 9 × 100 = 75,771 × 100 = 7,577,100
- 8419 × 10 = 84,190
- 8419 × 3 = 25,257
- Add: 7,577,100 + 84,190 = 7,661,290 → + 25,257 = 7,686,547
✔ Check:
8419 × 913
= 8419 × (900 + 10 + 3)
= 7,577,100 + 84,190 + 25,257 = 7,686,547
---
8. 3823 × 638
Break it down:
- 3823 × 600 = 3823 × 6 × 100 = 22,938 × 100 = 2,293,800
- 3823 × 30 = 3823 × 3 × 10 = 11,469 × 10 = 114,690
- 3823 × 8 = 30,584
- Add: 2,293,800 + 114,690 = 2,408,490 → + 30,584 = 2,439,074
✔ Check:
3823 × 638
= 3823 × (600 + 30 + 8)
= 2,293,800 + 114,690 + 30,584 = 2,439,074
---
Third row:
9. 6220 × 502
Break it down:
- 6220 × 500 = 6220 × 5 × 100 = 31,100 × 100 = 3,110,000
- 6220 × 2 = 12,440
- Add: 3,110,000 + 12,440 = 3,122,440
✔ Check:
6220 × 502
= 6220 × (500 + 2)
= 3,110,000 + 12,440 = 3,122,440
---
10. 6672 × 417
Break it down:
- 6672 × 400 = 6672 × 4 × 100 = 26,688 × 100 = 2,668,800
- 6672 × 10 = 66,720
- 6672 × 7 = 46,704
- Add: 2,668,800 + 66,720 = 2,735,520 → + 46,704 = 2,782,224
✔ Check:
6672 × 417
= 6672 × (400 + 10 + 7)
= 2,668,800 + 66,720 + 46,704 = 2,782,224
---
11. 2723 × 319
Break it down:
- 2723 × 300 = 2723 × 3 × 100 = 8,169 × 100 = 816,900
- 2723 × 10 = 27,230
- 2723 × 9 = 24,507
- Add: 816,900 + 27,230 = 844,130 → + 24,507 = 868,637
✔ Check:
2723 × 319
= 2723 × (300 + 10 + 9)
= 816,900 + 27,230 + 24,507 = 868,637
---
12. 7762 × 971
Break it down:
- 7762 × 900 = 7762 × 9 × 100 = 69,858 × 100 = 6,985,800
- 7762 × 70 = 7762 × 7 × 10 = 54,334 × 10 = 543,340
- 7762 × 1 = 7,762
- Add: 6,985,800 + 543,340 = 7,529,140 → + 7,762 = 7,536,902
✔ Check:
7762 × 971
= 7762 × (900 + 70 + 1)
= 6,985,800 + 543,340 + 7,762 = 7,536,902
---
Final Answer:
1. 8105 × 204 = 1,653,420
2. 5762 × 761 = 4,384,882
3. 2918 × 762 = 2,223,516
4. 9146 × 516 = 4,719,336
5. 4699 × 778 = 3,655,822
6. 8458 × 466 = 3,941,428
7. 8419 × 913 = 7,686,547
8. 3823 × 638 = 2,439,074
9. 6220 × 502 = 3,122,440
10. 6672 × 417 = 2,782,224
11. 2723 × 319 = 868,637
12. 7762 × 971 = 7,536,902
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet 7th grade.
