Multiplying Decimals interactive worksheet for 3 - Free Printable
Educational worksheet: Multiplying Decimals interactive worksheet for 3. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplying Decimals interactive worksheet for 3
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals interactive worksheet for 3
Let's solve each of the decimal multiplication problems step by step. The key rule is:
> Multiply as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.
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- Ignore decimals: 682 × 84 = ?
- 682 × 80 = 54,560
- 682 × 4 = 2,728
- Total = 54,560 + 2,728 = 57,288
- Decimal places: 1 (in 68.2) + 1 (in 8.4) = 2
- So, answer = 572.88
---
- 630 × 1.2 = 630 × (12/10) = (630 × 12)/10
- 630 × 12 = 7,560 → divide by 10 = 756.0
---
- 16.0 is same as 16
- 16 × 36 = 576
- 16.0 has 1 decimal place, but since it’s .0, result is still 576.0
---
- 552 × 25 = ?
- 552 × 20 = 11,040
- 552 × 5 = 2,760
- Total = 13,800
- Decimal places: 2 (5.52) + 2 (0.25) = 4
- So, 13,800 → 1.3800 → 1.38
---
- 323 × 26 = ?
- 323 × 20 = 6,460
- 323 × 6 = 1,938
- Total = 8,398
- Decimal places: 1 (32.3), 0 (26) → total 1
- So, 839.8
---
- 791 × 19 = ?
- 791 × 10 = 7,910
- 791 × 9 = 7,119
- Total = 15,029
- Decimal places: 2 + 2 = 4
- So, 15,029 → 1.5029
---
- 263 × 78 = ?
- 263 × 70 = 18,410
- 263 × 8 = 2,104
- Total = 20,514
- Decimals: 1 + 1 = 2 → 205.14
---
- 307 × 19 = ?
- 307 × 10 = 3,070
- 307 × 9 = 2,763
- Total = 5,833
- Decimals: 2 + 0 = 2 → 58.33
---
- 632 × 85 = ?
- 632 × 80 = 50,560
- 632 × 5 = 3,160
- Total = 53,720
- Decimals: 1 + 1 = 2 → 537.20 → 537.2
---
- 394 × 70 = 27,580
- Decimals: 3 + 0 = 3 → 27.580 → 27.58
---
- 558 × 94 = ?
- 558 × 90 = 50,220
- 558 × 4 = 2,232
- Total = 52,452
- Decimals: 1 + 1 = 2 → 524.52
---
- 596 × 36 = ?
- 596 × 30 = 17,880
- 596 × 6 = 3,576
- Total = 21,456
- Decimals: 0 + 1 = 1 → 2,145.6
---
- 940 × 82 = ?
- 940 × 80 = 75,200
- 940 × 2 = 1,880
- Total = 77,080
- Decimals: 0 + 1 = 1 → 7,708.0
---
- 203 × 40 = 8,120
- 203 × 2 = 406
- Total = 8,526
- No decimals → 8,526
---
- 707 × 97 = ?
- 707 × 100 = 70,700
- 707 × 3 = 2,121
- So 70,700 - 2,121 = 68,579? Wait — better:
- 707 × 97 = 707 × (100 - 3) = 70,700 - 2,121 = 68,579
- Decimals: 3 + 2 = 5 → 0.68579
---
- 906 × 60 = 54,360
- 906 × 4 = 3,624
- Total = 57,984 → 57,984
---
- 310 × 18 = ?
- 310 × 10 = 3,100
- 310 × 8 = 2,480
- Total = 5,580
- Decimals: 0 + 1 = 1 → 558.0
---
- 520 × 92 = ?
- 520 × 90 = 46,800
- 520 × 2 = 1,040
- Total = 47,840
- Decimals: 0 + 2 = 2 → 478.40 → 478.4
---
- 131 × 41 = ?
- 131 × 40 = 5,240
- 131 × 1 = 131
- Total = 5,371
- Decimals: 0 + 2 = 2 → 53.71
---
- 600 × 51 = 30,600
- Decimals: 2 + 1 = 3 → 30.600 → 30.6
---
- 913 × 56 = ?
- 913 × 50 = 45,650
- 913 × 6 = 5,478
- Total = 51,128
- Decimals: 3 + 0 = 3 → 51.128
---
- 128 × 38 = ?
- 128 × 30 = 3,840
- 128 × 8 = 1,024
- Total = 4,864
- Decimals: 1 + 1 = 2 → 48.64
---
- 522 × 23 = ?
- 522 × 20 = 10,440
- 522 × 3 = 1,566
- Total = 11,996
- Decimals: 1 + 1 = 2 → 119.96
---
- 394 × 76 = ?
- 394 × 70 = 27,580
- 394 × 6 = 2,364
- Total = 29,944
- Decimals: 3 + 0 = 3 → 29.944
---
- 411 × 35 = ?
- 411 × 30 = 12,330
- 411 × 5 = 2,055
- Total = 14,385
- Decimals: 3 + 2 = 5 → 0.14385
---
## ✔ Final Answers (in order):
1. 572.88
2. 756.0
3. 576.0
4. 1.38
5. 839.8
6. 1.5029
7. 205.14
8. 58.33
9. 537.2
10. 27.58
11. 524.52
12. 2,145.6
13. 7,708.0
14. 8,526
15. 0.68579
16. 57,984
17. 558.0
18. 478.4
19. 53.71
20. 30.6
21. 51.128
22. 48.64
23. 119.96
24. 29.944
25. 0.14385
---
✔ Tip: Always double-check your decimal placement by counting digits after the decimal in both factors.
Let me know if you'd like this formatted as a printable sheet!
> Multiply as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.
---
1. 68.2 × 8.4
- Ignore decimals: 682 × 84 = ?
- 682 × 80 = 54,560
- 682 × 4 = 2,728
- Total = 54,560 + 2,728 = 57,288
- Decimal places: 1 (in 68.2) + 1 (in 8.4) = 2
- So, answer = 572.88
---
2. 630 × 1.2
- 630 × 1.2 = 630 × (12/10) = (630 × 12)/10
- 630 × 12 = 7,560 → divide by 10 = 756.0
---
3. 16.0 × 36
- 16.0 is same as 16
- 16 × 36 = 576
- 16.0 has 1 decimal place, but since it’s .0, result is still 576.0
---
4. 5.52 × 0.25
- 552 × 25 = ?
- 552 × 20 = 11,040
- 552 × 5 = 2,760
- Total = 13,800
- Decimal places: 2 (5.52) + 2 (0.25) = 4
- So, 13,800 → 1.3800 → 1.38
---
5. 32.3 × 26
- 323 × 26 = ?
- 323 × 20 = 6,460
- 323 × 6 = 1,938
- Total = 8,398
- Decimal places: 1 (32.3), 0 (26) → total 1
- So, 839.8
---
6. 7.91 × 0.19
- 791 × 19 = ?
- 791 × 10 = 7,910
- 791 × 9 = 7,119
- Total = 15,029
- Decimal places: 2 + 2 = 4
- So, 15,029 → 1.5029
---
7. 26.3 × 7.8
- 263 × 78 = ?
- 263 × 70 = 18,410
- 263 × 8 = 2,104
- Total = 20,514
- Decimals: 1 + 1 = 2 → 205.14
---
8. 3.07 × 19
- 307 × 19 = ?
- 307 × 10 = 3,070
- 307 × 9 = 2,763
- Total = 5,833
- Decimals: 2 + 0 = 2 → 58.33
---
9. 63.2 × 8.5
- 632 × 85 = ?
- 632 × 80 = 50,560
- 632 × 5 = 3,160
- Total = 53,720
- Decimals: 1 + 1 = 2 → 537.20 → 537.2
---
10. 0.394 × 70
- 394 × 70 = 27,580
- Decimals: 3 + 0 = 3 → 27.580 → 27.58
---
11. 55.8 × 9.4
- 558 × 94 = ?
- 558 × 90 = 50,220
- 558 × 4 = 2,232
- Total = 52,452
- Decimals: 1 + 1 = 2 → 524.52
---
12. 596 × 3.6
- 596 × 36 = ?
- 596 × 30 = 17,880
- 596 × 6 = 3,576
- Total = 21,456
- Decimals: 0 + 1 = 1 → 2,145.6
---
13. 940 × 8.2
- 940 × 82 = ?
- 940 × 80 = 75,200
- 940 × 2 = 1,880
- Total = 77,080
- Decimals: 0 + 1 = 1 → 7,708.0
---
14. 203 × 42
- 203 × 40 = 8,120
- 203 × 2 = 406
- Total = 8,526
- No decimals → 8,526
---
15. 0.707 × 0.97
- 707 × 97 = ?
- 707 × 100 = 70,700
- 707 × 3 = 2,121
- So 70,700 - 2,121 = 68,579? Wait — better:
- 707 × 97 = 707 × (100 - 3) = 70,700 - 2,121 = 68,579
- Decimals: 3 + 2 = 5 → 0.68579
---
16. 906 × 64
- 906 × 60 = 54,360
- 906 × 4 = 3,624
- Total = 57,984 → 57,984
---
17. 310 × 1.8
- 310 × 18 = ?
- 310 × 10 = 3,100
- 310 × 8 = 2,480
- Total = 5,580
- Decimals: 0 + 1 = 1 → 558.0
---
18. 520 × 0.92
- 520 × 92 = ?
- 520 × 90 = 46,800
- 520 × 2 = 1,040
- Total = 47,840
- Decimals: 0 + 2 = 2 → 478.40 → 478.4
---
19. 131 × 0.41
- 131 × 41 = ?
- 131 × 40 = 5,240
- 131 × 1 = 131
- Total = 5,371
- Decimals: 0 + 2 = 2 → 53.71
---
20. 6.00 × 5.1
- 600 × 51 = 30,600
- Decimals: 2 + 1 = 3 → 30.600 → 30.6
---
21. 0.913 × 56
- 913 × 56 = ?
- 913 × 50 = 45,650
- 913 × 6 = 5,478
- Total = 51,128
- Decimals: 3 + 0 = 3 → 51.128
---
22. 12.8 × 3.8
- 128 × 38 = ?
- 128 × 30 = 3,840
- 128 × 8 = 1,024
- Total = 4,864
- Decimals: 1 + 1 = 2 → 48.64
---
23. 52.2 × 2.3
- 522 × 23 = ?
- 522 × 20 = 10,440
- 522 × 3 = 1,566
- Total = 11,996
- Decimals: 1 + 1 = 2 → 119.96
---
24. 0.394 × 76
- 394 × 76 = ?
- 394 × 70 = 27,580
- 394 × 6 = 2,364
- Total = 29,944
- Decimals: 3 + 0 = 3 → 29.944
---
25. 0.411 × 0.35
- 411 × 35 = ?
- 411 × 30 = 12,330
- 411 × 5 = 2,055
- Total = 14,385
- Decimals: 3 + 2 = 5 → 0.14385
---
## ✔ Final Answers (in order):
1. 572.88
2. 756.0
3. 576.0
4. 1.38
5. 839.8
6. 1.5029
7. 205.14
8. 58.33
9. 537.2
10. 27.58
11. 524.52
12. 2,145.6
13. 7,708.0
14. 8,526
15. 0.68579
16. 57,984
17. 558.0
18. 478.4
19. 53.71
20. 30.6
21. 51.128
22. 48.64
23. 119.96
24. 29.944
25. 0.14385
---
✔ Tip: Always double-check your decimal placement by counting digits after the decimal in both factors.
Let me know if you'd like this formatted as a printable sheet!
Parent Tip: Review the logic above to help your child master the concept of multiplication with decimals worksheet.
