Multiplying and Dividing Decimals Worksheet | Cazoom Maths Worksheets - Free Printable

Let's solve each problem step by step, focusing on multiplying decimals. The key rule for multiplying decimals is:

> Multiply the numbers as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the answer accordingly.

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✔ Section A: Multiplying Decimals (Simple Decimal Multipliers)

1) 96 × 0.1 = ?
→ 0.1 means "one tenth", so multiply by 10⁻¹ → move decimal one place left.
→ 96 × 0.1 = 9.6

2) 876 × 0.01 = ?
→ 0.01 = 1/100 → move decimal two places left
→ 876 → 8.76
→ 8.76

3) 0.1 × 54.8 = ?
→ Same as 54.8 × 0.1 → move decimal one place left
→ 5.48

4) 0.01 × 0.7 = ?
→ Multiply: 1 × 7 = 7
→ Total decimal places: 2 + 1 = 3
→ So, 0.007
→ 0.007

5) 56.1 × 0.001 = ?
→ 0.001 = 1/1000 → move decimal three places left
→ 56.1 → 0.0561
→ 0.0561

6) 7.5 × 0.01 = ?
→ Move decimal two places left: 7.5 → 0.075
→ 0.075

7) 0.02 × 0.1 = ?
→ 2 × 1 = 2
→ Total decimal places: 2 + 1 = 3
→ So, 0.002
→ 0.002

8) 0.1 × 0.48 = ?
→ 1 × 48 = 48
→ Decimal places: 1 + 2 = 3
→ So, 0.048
→ 0.048

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✔ Section B: Multiplying Decimals (More Complex)

1) 26 × 0.2 = ?
→ 26 × 2 = 52 → one decimal place → 5.2

2) 117 × 0.3 = ?
→ 117 × 3 = 351 → one decimal place → 35.1

3) 82 × 0.8 = ?
→ 82 × 8 = 656 → one decimal place → 65.6

4) 23 × 0.7 = ?
→ 23 × 7 = 161 → one decimal place → 16.1

5) 55.4 × 0.4 = ?
→ First, ignore decimals: 554 × 4 = 2216
→ Total decimal places: 1 + 1 = 2
→ So, 22.16
→ 22.16

6) 75.1 × 0.9 = ?
→ 751 × 9 = 6759
→ One decimal in each → total 2 → 67.59
→ 67.59

7) 0.3 × 12.3 = ?
→ 3 × 123 = 369
→ Decimal places: 1 + 1 = 2 → 3.69
→ 3.69

8) 999 × 0.4 = ?
→ 999 × 4 = 3996 → one decimal → 399.6

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✔ Section C: Multiplying Two Decimals

1) 0.2 × 0.04 = ?
→ 2 × 4 = 8
→ Decimal places: 1 + 2 = 3 → 0.008
→ 0.008

2) 0.7 × 0.09 = ?
→ 7 × 9 = 63
→ Decimal places: 1 + 2 = 3 → 0.063
→ 0.063

3) 0.05 × 0.7 = ?
→ 5 × 7 = 35
→ Decimal places: 2 + 1 = 3 → 0.035
→ 0.035

4) 0.006 × 0.3 = ?
→ 6 × 3 = 18
→ Decimal places: 3 + 1 = 4 → 0.0018
→ 0.0018

5) 5.67 × 0.3 = ?
→ 567 × 3 = 1701
→ Decimal places: 2 + 1 = 3 → 1.701
→ 1.701

6) 1.31 × 0.7 = ?
→ 131 × 7 = 917
→ Decimal places: 2 + 1 = 3 → 0.917
→ 0.917

7) 0.04 × 8.1 = ?
→ 4 × 81 = 324
→ Decimal places: 2 + 1 = 3 → 0.324
→ 0.324

8) 0.9 × 9.22 = ?
→ 9 × 922 = 8298
→ Decimal places: 1 + 2 = 3 → 8.298
→ 8.298

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✔ Final Answers:

#### Section A
1) 9.6
2) 8.76
3) 5.48
4) 0.007
5) 0.0561
6) 0.075
7) 0.002
8) 0.048

#### Section B
1) 5.2
2) 35.1
3) 65.6
4) 16.1
5) 22.16
6) 67.59
7) 3.69
8) 399.6

#### Section C
1) 0.008
2) 0.063
3) 0.035
4) 0.0018
5) 1.701
6) 0.917
7) 0.324
8) 8.298

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🔍 Explanation Summary:

- When multiplying decimals:
- Ignore decimals first and multiply as whole numbers.
- Count total decimal digits in both numbers.
- Place the decimal in the product so that it has the same number of decimal places.

This method ensures accuracy and helps avoid common errors like misplaced decimal points.

Let me know if you'd like a printable version or explanations with visual steps!