Grade 6 Worksheets: Decimal by decimal multiplication (1-4 digits ... - Free Printable

You've uploaded a Grade 6 Decimals Worksheet titled “Multiplying decimals in columns,” and you’re asking to solve the problems and explain the solution.

There are 9 multiplication problems involving decimal numbers. I’ll solve each one step by step, explaining the process, and then give you the final answers.

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📌 General Rule for Multiplying Decimals:

1. Ignore the decimal points and multiply the numbers 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 as the total from step 2.

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Let’s solve each problem:

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Problem 1: 8.1 × 0.900

- Ignore decimals: 81 × 900 = 72,900
- Decimal places: 8.1 → 1 place; 0.900 → 3 places → total = 4 places
- Place decimal: 72,900 → move decimal 4 places left → 7.2900 → simplify → 7.29

✔ Answer: 7.29

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Problem 2: 0.0061 × 0.200

- Ignore decimals: 61 × 200 = 12,200
- Decimal places: 0.0061 → 4 places; 0.200 → 3 places → total = 7 places
- Place decimal: 12,200 → move decimal 7 places left → 0.0012200 → simplify → 0.00122

✔ Answer: 0.00122

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Problem 3: 2.2 × 4.00

- Ignore decimals: 22 × 400 = 8,800
- Decimal places: 2.2 → 1 place; 4.00 → 2 places → total = 3 places
- Place decimal: 8,800 → move decimal 3 places left → 8.800 → simplify → 8.8

✔ Answer: 8.8

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Problem 4: 0.83 × 0.0100

- Ignore decimals: 83 × 100 = 8,300
- Decimal places: 0.83 → 2 places; 0.0100 → 4 places → total = 6 places
- Place decimal: 8,300 → move decimal 6 places left → 0.008300 → simplify → 0.0083

✔ Answer: 0.0083

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Problem 5: 0.0080 × 0.700

- Ignore decimals: 80 × 700 = 56,000
- Decimal places: 0.0080 → 4 places; 0.700 → 3 places → total = 7 places
- Place decimal: 56,000 → move decimal 7 places left → 0.0056000 → simplify → 0.0056

✔ Answer: 0.0056

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Problem 6: 0.0079 × 50.0

- Ignore decimals: 79 × 500 = 39,500
- Decimal places: 0.0079 → 4 places; 50.0 → 1 place → total = 5 places
- Place decimal: 39,500 → move decimal 5 places left → 0.39500 → simplify → 0.395

✔ Answer: 0.395

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Problem 7: 0.0082 × 40.0

- Ignore decimals: 82 × 400 = 32,800
- Decimal places: 0.0082 → 4 places; 40.0 → 1 place → total = 5 places
- Place decimal: 32,800 → move decimal 5 places left → 0.32800 → simplify → 0.328

✔ Answer: 0.328

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Problem 8: 0.033 × 0.0500

- Ignore decimals: 33 × 500 = 16,500
- Decimal places: 0.033 → 3 places; 0.0500 → 4 places → total = 7 places
- Place decimal: 16,500 → move decimal 7 places left → 0.0016500 → simplify → 0.00165

✔ Answer: 0.00165

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Problem 9: 0.0063 × 0.0600

- Ignore decimals: 63 × 600 = 37,800
- Decimal places: 0.0063 → 4 places; 0.0600 → 4 places → total = 8 places
- Place decimal: 37,800 → move decimal 8 places left → 0.00037800 → simplify → 0.000378

✔ Answer: 0.000378

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## ✔ Final Answers (Boxed):

1. 7.29
2. 0.00122
3. 8.8
4. 0.0083
5. 0.0056
6. 0.395
7. 0.328
8. 0.00165
9. 0.000378

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## 💡 Tip for Students:
When multiplying decimals, always count the decimal places *before* placing the decimal in your answer — this avoids common errors. Also, trailing zeros after the decimal can usually be dropped unless specified otherwise (e.g., 7.2900 = 7.29).

Let me know if you’d like these written out vertically in column form or need a printable version!