6th Grade Math Worksheets Multiplication - Free Printable
Educational worksheet: 6th Grade Math Worksheets Multiplication. Download and print for classroom or home learning activities.
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Step-by-step solution for: 6th Grade Math Worksheets Multiplication
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets Multiplication
Let's solve each of the multiplication problems in your worksheet step by step. I'll go through them one by one and provide the solutions with explanations.
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1. 364 × 85
Break it down:
- 364 × 80 = 364 × 8 × 10 = (2,912) × 10 = 29,120
- 364 × 5 = 1,820
- Add: 29,120 + 1,820 = 30,940
✔ 30,940
2. 931 × 37
- 931 × 30 = 27,930
- 931 × 7 = 6,517
- Add: 27,930 + 6,517 = 34,447
✔ 34,447
3. 930 × 26
- 930 × 20 = 18,600
- 930 × 6 = 5,580
- Add: 18,600 + 5,580 = 24,180
✔ 24,180
4. 216 × 68
- 216 × 60 = 12,960
- 216 × 8 = 1,728
- Add: 12,960 + 1,728 = 14,688
✔ 14,688
5. 195 × 47
- 195 × 40 = 7,800
- 195 × 7 = 1,365
- Add: 7,800 + 1,365 = 9,165
✔ 9,165
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6. 539 × 41
- 539 × 40 = 21,560
- 539 × 1 = 539
- Add: 21,560 + 539 = 22,099
✔ 22,099
7. 307 × 21
- 307 × 20 = 6,140
- 307 × 1 = 307
- Add: 6,140 + 307 = 6,447
✔ 6,447
8. 121 × 75
- 121 × 70 = 8,470
- 121 × 5 = 605
- Add: 8,470 + 605 = 9,075
✔ 9,075
9. 193 × 98
- 193 × 100 = 19,300
- 193 × 2 = 386 → subtract: 19,300 - 386 = 18,914
(Or: 193 × 90 = 17,370; 193 × 8 = 1,544; total = 17,370 + 1,544 = 18,914)
✔ 18,914
10. 886 × 46
- 886 × 40 = 35,440
- 886 × 6 = 5,316
- Add: 35,440 + 5,316 = 40,756
✔ 40,756
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11. 214 × 36
- 214 × 30 = 6,420
- 214 × 6 = 1,284
- Add: 6,420 + 1,284 = 7,704
✔ 7,704
12. 612 × 78
- 612 × 70 = 42,840
- 612 × 8 = 4,896
- Add: 42,840 + 4,896 = 47,736
✔ 47,736
13. 939 × 77
- 939 × 70 = 65,730
- 939 × 7 = 6,573
- Add: 65,730 + 6,573 = 72,303
✔ 72,303
14. 490 × 41
- 490 × 40 = 19,600
- 490 × 1 = 490
- Add: 19,600 + 490 = 20,090
✔ 20,090
15. 471 × 64
- 471 × 60 = 28,260
- 471 × 4 = 1,884
- Add: 28,260 + 1,884 = 30,144
✔ 30,144
---
16. 118 × 74
- 118 × 70 = 8,260
- 118 × 4 = 472
- Add: 8,260 + 472 = 8,732
✔ 8,732
17. 315 × 71
- 315 × 70 = 22,050
- 315 × 1 = 315
- Add: 22,050 + 315 = 22,365
✔ 22,365
18. 145 × 60
- 145 × 6 × 10 = 870 × 10 = 8,700
✔ 8,700
19. 293 × 50
- 293 × 5 × 10 = 1,465 × 10 = 14,650
✔ 14,650
20. 595 × 77
- 595 × 70 = 41,650
- 595 × 7 = 4,165
- Add: 41,650 + 4,165 = 45,815
✔ 45,815
---
21. 771 × 45
- 771 × 40 = 30,840
- 771 × 5 = 3,855
- Add: 30,840 + 3,855 = 34,695
✔ 34,695
22. 439 × 58
- 439 × 50 = 21,950
- 439 × 8 = 3,512
- Add: 21,950 + 3,512 = 25,462
✔ 25,462
23. 561 × 49
- 561 × 50 = 28,050
- Subtract 561 × 1 = 561 → 28,050 - 561 = 27,489
✔ 27,489
24. 170 × 56
- 170 × 50 = 8,500
- 170 × 6 = 1,020
- Add: 8,500 + 1,020 = 9,520
✔ 9,520
25. 935 × 63
- 935 × 60 = 56,100
- 935 × 3 = 2,805
- Add: 56,100 + 2,805 = 58,905
✔ 58,905
---
```
1. 364 × 85 = 30,940
2. 931 × 37 = 34,447
3. 930 × 26 = 24,180
4. 216 × 68 = 14,688
5. 195 × 47 = 9,165
6. 539 × 41 = 22,099
7. 307 × 21 = 6,447
8. 121 × 75 = 9,075
9. 193 × 98 = 18,914
10. 886 × 46 = 40,756
11. 214 × 36 = 7,704
12. 612 × 78 = 47,736
13. 939 × 77 = 72,303
14. 490 × 41 = 20,090
15. 471 × 64 = 30,144
16. 118 × 74 = 8,732
17. 315 × 71 = 22,365
18. 145 × 60 = 8,700
19. 293 × 50 = 14,650
20. 595 × 77 = 45,815
21. 771 × 45 = 34,695
22. 439 × 58 = 25,462
23. 561 × 49 = 27,489
24. 170 × 56 = 9,520
25. 935 × 63 = 58,905
```
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- Use distributive property: e.g., 364 × 85 = 364 × (80 + 5)
- Break larger numbers into tens and ones.
- Always check your addition to avoid errors.
- For multiples of 10 or 50, use shortcuts (e.g., ×50 = ×100 ÷ 2).
Let me know if you'd like a printable version or a step-by-step breakdown of any specific problem!
---
Row 1
1. 364 × 85
Break it down:
- 364 × 80 = 364 × 8 × 10 = (2,912) × 10 = 29,120
- 364 × 5 = 1,820
- Add: 29,120 + 1,820 = 30,940
✔ 30,940
2. 931 × 37
- 931 × 30 = 27,930
- 931 × 7 = 6,517
- Add: 27,930 + 6,517 = 34,447
✔ 34,447
3. 930 × 26
- 930 × 20 = 18,600
- 930 × 6 = 5,580
- Add: 18,600 + 5,580 = 24,180
✔ 24,180
4. 216 × 68
- 216 × 60 = 12,960
- 216 × 8 = 1,728
- Add: 12,960 + 1,728 = 14,688
✔ 14,688
5. 195 × 47
- 195 × 40 = 7,800
- 195 × 7 = 1,365
- Add: 7,800 + 1,365 = 9,165
✔ 9,165
---
Row 2
6. 539 × 41
- 539 × 40 = 21,560
- 539 × 1 = 539
- Add: 21,560 + 539 = 22,099
✔ 22,099
7. 307 × 21
- 307 × 20 = 6,140
- 307 × 1 = 307
- Add: 6,140 + 307 = 6,447
✔ 6,447
8. 121 × 75
- 121 × 70 = 8,470
- 121 × 5 = 605
- Add: 8,470 + 605 = 9,075
✔ 9,075
9. 193 × 98
- 193 × 100 = 19,300
- 193 × 2 = 386 → subtract: 19,300 - 386 = 18,914
(Or: 193 × 90 = 17,370; 193 × 8 = 1,544; total = 17,370 + 1,544 = 18,914)
✔ 18,914
10. 886 × 46
- 886 × 40 = 35,440
- 886 × 6 = 5,316
- Add: 35,440 + 5,316 = 40,756
✔ 40,756
---
Row 3
11. 214 × 36
- 214 × 30 = 6,420
- 214 × 6 = 1,284
- Add: 6,420 + 1,284 = 7,704
✔ 7,704
12. 612 × 78
- 612 × 70 = 42,840
- 612 × 8 = 4,896
- Add: 42,840 + 4,896 = 47,736
✔ 47,736
13. 939 × 77
- 939 × 70 = 65,730
- 939 × 7 = 6,573
- Add: 65,730 + 6,573 = 72,303
✔ 72,303
14. 490 × 41
- 490 × 40 = 19,600
- 490 × 1 = 490
- Add: 19,600 + 490 = 20,090
✔ 20,090
15. 471 × 64
- 471 × 60 = 28,260
- 471 × 4 = 1,884
- Add: 28,260 + 1,884 = 30,144
✔ 30,144
---
Row 4
16. 118 × 74
- 118 × 70 = 8,260
- 118 × 4 = 472
- Add: 8,260 + 472 = 8,732
✔ 8,732
17. 315 × 71
- 315 × 70 = 22,050
- 315 × 1 = 315
- Add: 22,050 + 315 = 22,365
✔ 22,365
18. 145 × 60
- 145 × 6 × 10 = 870 × 10 = 8,700
✔ 8,700
19. 293 × 50
- 293 × 5 × 10 = 1,465 × 10 = 14,650
✔ 14,650
20. 595 × 77
- 595 × 70 = 41,650
- 595 × 7 = 4,165
- Add: 41,650 + 4,165 = 45,815
✔ 45,815
---
Row 5
21. 771 × 45
- 771 × 40 = 30,840
- 771 × 5 = 3,855
- Add: 30,840 + 3,855 = 34,695
✔ 34,695
22. 439 × 58
- 439 × 50 = 21,950
- 439 × 8 = 3,512
- Add: 21,950 + 3,512 = 25,462
✔ 25,462
23. 561 × 49
- 561 × 50 = 28,050
- Subtract 561 × 1 = 561 → 28,050 - 561 = 27,489
✔ 27,489
24. 170 × 56
- 170 × 50 = 8,500
- 170 × 6 = 1,020
- Add: 8,500 + 1,020 = 9,520
✔ 9,520
25. 935 × 63
- 935 × 60 = 56,100
- 935 × 3 = 2,805
- Add: 56,100 + 2,805 = 58,905
✔ 58,905
---
✔ Final Answers:
```
1. 364 × 85 = 30,940
2. 931 × 37 = 34,447
3. 930 × 26 = 24,180
4. 216 × 68 = 14,688
5. 195 × 47 = 9,165
6. 539 × 41 = 22,099
7. 307 × 21 = 6,447
8. 121 × 75 = 9,075
9. 193 × 98 = 18,914
10. 886 × 46 = 40,756
11. 214 × 36 = 7,704
12. 612 × 78 = 47,736
13. 939 × 77 = 72,303
14. 490 × 41 = 20,090
15. 471 × 64 = 30,144
16. 118 × 74 = 8,732
17. 315 × 71 = 22,365
18. 145 × 60 = 8,700
19. 293 × 50 = 14,650
20. 595 × 77 = 45,815
21. 771 × 45 = 34,695
22. 439 × 58 = 25,462
23. 561 × 49 = 27,489
24. 170 × 56 = 9,520
25. 935 × 63 = 58,905
```
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📝 Tips for Solving These:
- Use distributive property: e.g., 364 × 85 = 364 × (80 + 5)
- Break larger numbers into tens and ones.
- Always check your addition to avoid errors.
- For multiples of 10 or 50, use shortcuts (e.g., ×50 = ×100 ÷ 2).
Let me know if you'd like a printable version or a step-by-step breakdown of any specific problem!
Parent Tip: Review the logic above to help your child master the concept of sixth grade multiplication worksheet.
