Multiplication of Decimals by Decimals to Two Decimal Places Worksheet - Free Printable
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Step-by-step solution for: Multiplication of Decimals by Decimals to Two Decimal Places Worksheet
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Step-by-step solution for: Multiplication of Decimals by Decimals to Two Decimal Places Worksheet
Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will proceed directly to solving each multiplication problem step by step and then provide the final answers in a clear list.
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We are multiplying 3-digit numbers by 2-digit numbers, some with decimals. We’ll ignore the decimal points first, multiply as whole numbers, then place the decimal point correctly at the end based on total decimal places in both numbers.
Let’s go row by row:
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Row 1:
1. 68.2 × 8.4
→ 682 × 84 = 57288
→ Decimal places: 1 + 1 = 2 → Answer: 572.88
2. 630 × 1.2
→ 630 × 12 = 7560
→ Decimal places: 0 + 1 = 1 → Answer: 756.0 → or 756
3. 16.0 × 36
→ 16 × 36 = 576
→ Decimal places: 1 + 0 = 1 → Answer: 576.0 → or 576
4. 5.52 × 0.25
→ 552 × 25 = 13800
→ Decimal places: 2 + 2 = 4 → Answer: 1.3800 → or 1.38
5. 32.3 × 26
→ 323 × 26 = 8398
→ Decimal places: 1 + 0 = 1 → Answer: 839.8
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Row 2:
6. 7.91 × 0.19
→ 791 × 19 = 15029
→ Decimal places: 2 + 2 = 4 → Answer: 1.5029
7. 26.3 × 7.8
→ 263 × 78 = 20514
→ Decimal places: 1 + 1 = 2 → Answer: 205.14
8. 3.07 × 19
→ 307 × 19 = 5833
→ Decimal places: 2 + 0 = 2 → Answer: 58.33
9. 63.2 × 8.5
→ 632 × 85 = 53720
→ Decimal places: 1 + 1 = 2 → Answer: 537.20 → or 537.2
10. 0.394 × 70
→ 394 × 70 = 27580
→ Decimal places: 3 + 0 = 3 → Answer: 27.580 → or 27.58
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Row 3:
11. 55.8 × 9.4
→ 558 × 94 = 52452
→ Decimal places: 1 + 1 = 2 → Answer: 524.52
12. 596 × 3.6
→ 596 × 36 = 21456
→ Decimal places: 0 + 1 = 1 → Answer: 2145.6
13. 940 × 8.2
→ 940 × 82 = 77080
→ Decimal places: 0 + 1 = 1 → Answer: 7708.0 → or 7708
14. 203 × 42
→ Whole number multiplication: 203 × 42 = 8526
→ No decimals → Answer: 8526
15. 0.707 × 0.97
→ 707 × 97 = 68579
→ Decimal places: 3 + 2 = 5 → Answer: 0.68579
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Row 4:
16. 906 × 64
→ 906 × 64 = 57984
→ No decimals → Answer: 57984
17. 310 × 1.8
→ 310 × 18 = 5580
→ Decimal places: 0 + 1 = 1 → Answer: 558.0 → or 558
18. 520 × 0.92
→ 520 × 92 = 47840
→ Decimal places: 0 + 2 = 2 → Answer: 478.40 → or 478.4
19. 131 × 0.41
→ 131 × 41 = 5371
→ Decimal places: 0 + 2 = 2 → Answer: 53.71
20. 6.00 × 5.1
→ 600 × 51 = 30600
→ Decimal places: 2 + 1 = 3 → Answer: 30.600 → or 30.6
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Row 5:
21. 0.913 × 56
→ 913 × 56 = 51128
→ Decimal places: 3 + 0 = 3 → Answer: 51.128
22. 12.8 × 3.8
→ 128 × 38 = 4864
→ Decimal places: 1 + 1 = 2 → Answer: 48.64
23. 52.2 × 2.3
→ 522 × 23 = 12006
→ Decimal places: 1 + 1 = 2 → Answer: 120.06
24. 0.394 × 76
→ 394 × 76 = 29944
→ Decimal places: 3 + 0 = 3 → Answer: 29.944
25. 0.411 × 0.35
→ 411 × 35 = 14385
→ Decimal places: 3 + 2 = 5 → Answer: 0.14385
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Final Answer:
572.88, 756, 576, 1.38, 839.8, 1.5029, 205.14, 58.33, 537.2, 27.58, 524.52, 2145.6, 7708, 8526, 0.68579, 57984, 558, 478.4, 53.71, 30.6, 51.128, 48.64, 120.06, 29.944, 0.14385
---
We are multiplying 3-digit numbers by 2-digit numbers, some with decimals. We’ll ignore the decimal points first, multiply as whole numbers, then place the decimal point correctly at the end based on total decimal places in both numbers.
Let’s go row by row:
---
Row 1:
1. 68.2 × 8.4
→ 682 × 84 = 57288
→ Decimal places: 1 + 1 = 2 → Answer: 572.88
2. 630 × 1.2
→ 630 × 12 = 7560
→ Decimal places: 0 + 1 = 1 → Answer: 756.0 → or 756
3. 16.0 × 36
→ 16 × 36 = 576
→ Decimal places: 1 + 0 = 1 → Answer: 576.0 → or 576
4. 5.52 × 0.25
→ 552 × 25 = 13800
→ Decimal places: 2 + 2 = 4 → Answer: 1.3800 → or 1.38
5. 32.3 × 26
→ 323 × 26 = 8398
→ Decimal places: 1 + 0 = 1 → Answer: 839.8
---
Row 2:
6. 7.91 × 0.19
→ 791 × 19 = 15029
→ Decimal places: 2 + 2 = 4 → Answer: 1.5029
7. 26.3 × 7.8
→ 263 × 78 = 20514
→ Decimal places: 1 + 1 = 2 → Answer: 205.14
8. 3.07 × 19
→ 307 × 19 = 5833
→ Decimal places: 2 + 0 = 2 → Answer: 58.33
9. 63.2 × 8.5
→ 632 × 85 = 53720
→ Decimal places: 1 + 1 = 2 → Answer: 537.20 → or 537.2
10. 0.394 × 70
→ 394 × 70 = 27580
→ Decimal places: 3 + 0 = 3 → Answer: 27.580 → or 27.58
---
Row 3:
11. 55.8 × 9.4
→ 558 × 94 = 52452
→ Decimal places: 1 + 1 = 2 → Answer: 524.52
12. 596 × 3.6
→ 596 × 36 = 21456
→ Decimal places: 0 + 1 = 1 → Answer: 2145.6
13. 940 × 8.2
→ 940 × 82 = 77080
→ Decimal places: 0 + 1 = 1 → Answer: 7708.0 → or 7708
14. 203 × 42
→ Whole number multiplication: 203 × 42 = 8526
→ No decimals → Answer: 8526
15. 0.707 × 0.97
→ 707 × 97 = 68579
→ Decimal places: 3 + 2 = 5 → Answer: 0.68579
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Row 4:
16. 906 × 64
→ 906 × 64 = 57984
→ No decimals → Answer: 57984
17. 310 × 1.8
→ 310 × 18 = 5580
→ Decimal places: 0 + 1 = 1 → Answer: 558.0 → or 558
18. 520 × 0.92
→ 520 × 92 = 47840
→ Decimal places: 0 + 2 = 2 → Answer: 478.40 → or 478.4
19. 131 × 0.41
→ 131 × 41 = 5371
→ Decimal places: 0 + 2 = 2 → Answer: 53.71
20. 6.00 × 5.1
→ 600 × 51 = 30600
→ Decimal places: 2 + 1 = 3 → Answer: 30.600 → or 30.6
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Row 5:
21. 0.913 × 56
→ 913 × 56 = 51128
→ Decimal places: 3 + 0 = 3 → Answer: 51.128
22. 12.8 × 3.8
→ 128 × 38 = 4864
→ Decimal places: 1 + 1 = 2 → Answer: 48.64
23. 52.2 × 2.3
→ 522 × 23 = 12006
→ Decimal places: 1 + 1 = 2 → Answer: 120.06
24. 0.394 × 76
→ 394 × 76 = 29944
→ Decimal places: 3 + 0 = 3 → Answer: 29.944
25. 0.411 × 0.35
→ 411 × 35 = 14385
→ Decimal places: 3 + 2 = 5 → Answer: 0.14385
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Final Answer:
572.88, 756, 576, 1.38, 839.8, 1.5029, 205.14, 58.33, 537.2, 27.58, 524.52, 2145.6, 7708, 8526, 0.68579, 57984, 558, 478.4, 53.71, 30.6, 51.128, 48.64, 120.06, 29.944, 0.14385
Parent Tip: Review the logic above to help your child master the concept of double digit multiplication with decimals worksheet.