Grade 6 Multiplication of Decimals Worksheets - free & printable ... - Free Printable

Let's solve each of the multiplication problems on the worksheet step by step. The task is to multiply decimals by whole numbers, and we'll do this using the standard algorithm for multiplication, keeping track of decimal places.

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Problem 1:

0.023 × 40

Step-by-step:
- First, ignore the decimal: 23 × 40 = 920
- Now count the decimal places in 0.023 → 3 decimal places
- So, place the decimal point 3 places from the right in 920 → 0.920
- Simplify: 0.920 = 0.92

✔ Answer: 0.92

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Problem 2:

0.52 × 80

- Ignore decimal: 52 × 80 = 4160
- Decimal places in 0.52 → 2
- Place decimal 2 places from right: 41.60 → 41.6

✔ Answer: 41.6

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Problem 3:

0.67 × 61

- Ignore decimal: 67 × 61 = 4087
- Decimal places in 0.67 → 2
- Place decimal 2 places from right: 40.87

✔ Answer: 40.87

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Problem 4:

0.041 × 19

- Ignore decimal: 41 × 19 = 779
- Decimal places in 0.041 → 3
- Place decimal 3 places from right: 0.779

✔ Answer: 0.779

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Problem 5:

6.6 × 60

- Ignore decimal: 66 × 60 = 3960
- Decimal places in 6.6 → 1
- Place decimal 1 place from right: 396.0 → 396

✔ Answer: 396

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Problem 6:

0.46 × 52

- Ignore decimal: 46 × 52 = 2392
- Decimal places in 0.46 → 2
- Place decimal 2 places from right: 23.92

✔ Answer: 23.92

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Problem 7:

0.54 × 57

- Ignore decimal: 54 × 57 = 3078
- Decimal places in 0.54 → 2
- Place decimal 2 places from right: 30.78

✔ Answer: 30.78

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Problem 8:

0.049 × 58

- Ignore decimal: 49 × 58 = 2842
- Decimal places in 0.049 → 3
- Place decimal 3 places from right: 2.842

✔ Answer: 2.842

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Problem 9:

0.64 × 64

- Ignore decimal: 64 × 64 = 4096
- Decimal places in 0.64 → 2
- Place decimal 2 places from right: 40.96

✔ Answer: 40.96

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Problem 10:

0.012 × 93

- Ignore decimal: 12 × 93 = 1116
- Decimal places in 0.012 → 3
- Place decimal 3 places from right: 1.116

✔ Answer: 1.116

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Problem 11:

0.13 × 57

- Ignore decimal: 13 × 57 = 741
- Decimal places in 0.13 → 2
- Place decimal 2 places from right: 7.41

✔ Answer: 7.41

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Problem 12:

0.69 × 66

- Ignore decimal: 69 × 66 = 4554
- Decimal places in 0.69 → 2
- Place decimal 2 places from right: 45.54

✔ Answer: 45.54

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✔ Final Answers:

| Problem | Answer |
|--------|------------|
| 1 | 0.92 |
| 2 | 41.6 |
| 3 | 40.87 |
| 4 | 0.779 |
| 5 | 396 |
| 6 | 23.92 |
| 7 | 30.78 |
| 8 | 2.842 |
| 9 | 40.96 |
| 10 | 1.116 |
| 11 | 7.41 |
| 12 | 45.54 |

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🔍 Explanation Summary:

To multiply a decimal by a whole number:
1. Ignore the decimal and multiply as if both numbers were whole.
2. Count the total number of decimal places in the original decimal number.
3. Place the decimal point in the product so that it has the same number of decimal places.

This method ensures accuracy and helps avoid confusion with placement.

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