Multiplying Decimals Worksheets by Teacher Gameroom worksheets library - Free Printable

Let's solve each of these decimal multiplication problems step by step. The key rule for multiplying decimals is:

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

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Problem 1: 7.22 × 38

- Multiply: 722 × 38 = 27,436
- Decimal places: 7.22 has 2, 38 has 0 → total = 2
- So, place decimal 2 places from right: 274.36

✔ Answer: 274.36

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Problem 2: 21.1 × 9.8

- Multiply: 211 × 98 = 20,678
- Decimal places: 21.1 has 1, 9.8 has 1 → total = 2
- Place decimal 2 places from right: 206.78

✔ Answer: 206.78

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Problem 3: 6.36 × 56

- Multiply: 636 × 56 = 35,456
- Decimal places: 6.36 has 2, 56 has 0 → total = 2
- Place decimal 2 places from right: 354.56

✔ Answer: 354.56

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Problem 4: 1.27 × 3.9

- Multiply: 127 × 39 = 4,953
- Decimal places: 1.27 has 2, 3.9 has 1 → total = 3
- Place decimal 3 places from right: 4.953

✔ Answer: 4.953

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Problem 5: 5.95 × 2.9

- Multiply: 595 × 29 = 17,255
- Decimal places: 5.95 has 2, 2.9 has 1 → total = 3
- Place decimal 3 places from right: 17.255

✔ Answer: 17.255

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Problem 6: 64.4 × 3.0

- Multiply: 644 × 30 = 19,320
- Decimal places: 64.4 has 1, 3.0 has 1 → total = 2
- Place decimal 2 places from right: 193.20 → can be written as 193.2

✔ Answer: 193.2

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Problem 7: 2.47 × 11

- Multiply: 247 × 11 = 2,717
- Decimal places: 2.47 has 2, 11 has 0 → total = 2
- Place decimal 2 places from right: 27.17

✔ Answer: 27.17

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Problem 8: 6.5 × 1.6

- Multiply: 65 × 16 = 1,040
- Decimal places: 6.5 has 1, 1.6 has 1 → total = 2
- Place decimal 2 places from right: 10.40 → or 10.4

✔ Answer: 10.4

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Problem 9: 26.7 × 56

- Multiply: 267 × 56 = 14,952
- Decimal places: 26.7 has 1, 56 has 0 → total = 1
- Place decimal 1 place from right: 1,495.2

✔ Answer: 1,495.2

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Problem 10: 6.05 × 5.7

- Multiply: 605 × 57 = 34,485
- Decimal places: 6.05 has 2, 5.7 has 1 → total = 3
- Place decimal 3 places from right: 34.485

✔ Answer: 34.485

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Problem 11: 32.3 × 90

- Multiply: 323 × 90 = 29,070
- Decimal places: 32.3 has 1, 90 has 0 → total = 1
- Place decimal 1 place from right: 2,907.0 → or 2,907

✔ Answer: 2,907

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Problem 12: 3.91 × 3.6

- Multiply: 391 × 36 = 14,076
- Decimal places: 3.91 has 2, 3.6 has 1 → total = 3
- Place decimal 3 places from right: 14.076

✔ Answer: 14.076

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✔ Final Answers:

1. 274.36
2. 206.78
3. 354.56
4. 4.953
5. 17.255
6. 193.2
7. 27.17
8. 10.4
9. 1,495.2
10. 34.485
11. 2,907
12. 14.076

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