Dizzy Over Decimals: Multiplying Decimals #3 | Interactive ... - Free Printable

Let's solve each of the decimal multiplication problems in the worksheet "Dizzy Over Decimals: Multiplying Decimals #3" step by step. Remember, when multiplying decimals:

1. Multiply as if they were whole numbers.
2. Count the total number of decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places.

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Problem 1:

9.06 × 1.2

- Multiply: 906 × 12 = 10,872
- Decimal places: 9.06 → 2, 1.2 → 1 → Total = 3
- So, 10,872 → move decimal 3 places left → 10.872

✔ Answer: 10.872

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Problem 2:

4.53 × 0.25

- Multiply: 453 × 25 = 11,325
- Decimal places: 4.53 → 2, 0.25 → 2 → Total = 4
- Move decimal 4 places left → 1.1325

✔ Answer: 1.1325

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Problem 3:

38.3 × 2.1

- Multiply: 383 × 21 = 8,043
- Decimal places: 38.3 → 1, 2.1 → 1 → Total = 2
- Move decimal 2 places left → 80.43

✔ Answer: 80.43

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Problem 4:

72.3 × 6.4

- Multiply: 723 × 64 = 46,272
- Decimal places: 72.3 → 1, 6.4 → 1 → Total = 2
- Move decimal 2 places left → 462.72

✔ Answer: 462.72

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Problem 5:

5.19 × 0.72

- Multiply: 519 × 72 = 37,368
- Decimal places: 5.19 → 2, 0.72 → 2 → Total = 4
- Move decimal 4 places left → 3.7368

✔ Answer: 3.7368

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Problem 6:

1.81 × 3.6

- Multiply: 181 × 36 = 6,516
- Decimal places: 1.81 → 2, 3.6 → 1 → Total = 3
- Move decimal 3 places left → 6.516

✔ Answer: 6.516

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Problem 7:

50.1 × 0.99

- Multiply: 501 × 99 = 49,599
- Decimal places: 50.1 → 1, 0.99 → 2 → Total = 3
- Move decimal 3 places left → 49.599

✔ Answer: 49.599

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Problem 8:

0.504 × 5.7

- Multiply: 504 × 57 = 28,728
- Decimal places: 0.504 → 3, 5.7 → 1 → Total = 4
- Move decimal 4 places left → 2.8728

✔ Answer: 2.8728

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Problem 9:

160.3 × 0.51

- Multiply: 1603 × 51 = 81,753
- Decimal places: 160.3 → 1, 0.51 → 2 → Total = 3
- Move decimal 3 places left → 81.753

✔ Answer: 81.753

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Problem 10:

41.52 × 3.8

- Multiply: 4152 × 38 = 157,776
- Decimal places: 41.52 → 2, 3.8 → 1 → Total = 3
- Move decimal 3 places left → 157.776

✔ Answer: 157.776

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Problem 11:

97.45 × 6.2

- Multiply: 9745 × 62 = 604,290
- Decimal places: 97.45 → 2, 6.2 → 1 → Total = 3
- Move decimal 3 places left → 604.290 → Simplify to 604.29

✔ Answer: 604.29

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Problem 12:

142.7 × 0.61

- Multiply: 1427 × 61 = 86,947
- Decimal places: 142.7 → 1, 0.61 → 2 → Total = 3
- Move decimal 3 places left → 86.947

✔ Answer: 86.947

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Problem 13:

3.015 × 4.9

- Multiply: 3015 × 49 = 147,735
- Decimal places: 3.015 → 3, 4.9 → 1 → Total = 4
- Move decimal 4 places left → 14.7735

✔ Answer: 14.7735

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Problem 14:

51.48 × 7.4

- Multiply: 5148 × 74 = 380,952
- Decimal places: 51.48 → 2, 7.4 → 1 → Total = 3
- Move decimal 3 places left → 380.952

✔ Answer: 380.952

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Problem 15:

78.02 × 0.35

- Multiply: 7802 × 35 = 273,070
- Decimal places: 78.02 → 2, 0.35 → 2 → Total = 4
- Move decimal 4 places left → 27.3070 → Simplify to 27.307

✔ Answer: 27.307

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Problem 16:

9.712 × 0.86

- Multiply: 9712 × 86 = 835,232
- Decimal places: 9.712 → 3, 0.86 → 2 → Total = 5
- Move decimal 5 places left → 8.35232

✔ Answer: 8.35232

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✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | 10.872 |
| 2 | 1.1325 |
| 3 | 80.43 |
| 4 | 462.72 |
| 5 | 3.7368 |
| 6 | 6.516 |
| 7 | 49.599 |
| 8 | 2.8728 |
| 9 | 81.753 |
| 10 | 157.776 |
| 11 | 604.29 |
| 12 | 86.947 |
| 13 | 14.7735 |
| 14 | 380.952 |
| 15 | 27.307 |
| 16 | 8.35232 |

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