Multiplying and Dividing Decimals Worksheet | 5th Grade PDF Worksheets - Free Printable

Let's solve each problem step by step, explaining the method used for multiplying decimals.

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Section A: Multiplying Decimals

When multiplying decimals:
- Multiply as if they were whole numbers.
- Count the total number of decimal places in both numbers.
- Place the decimal point in the product so that it has the same number of decimal places.

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1) 96 × 0.1 =

- 0.1 has 1 decimal place.
- 96 × 1 = 96 → move decimal one place left → 9.6

✔ Answer: 9.6

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2) 876 × 0.01 =

- 0.01 has 2 decimal places.
- 876 × 1 = 876 → move decimal two places left → 8.76

✔ Answer: 8.76

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3) 0.1 × 54.8 =

- 0.1 has 1 decimal place, 54.8 has 1 → total 2 decimal places.
- 1 × 548 = 548 → place decimal to make 2 decimal places → 5.48

✔ Answer: 5.48

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4) 0.01 × 0.7 =

- 0.01 has 2, 0.7 has 1 → total 3 decimal places.
- 1 × 7 = 7 → add 3 decimal places → 0.007

✔ Answer: 0.007

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5) 56.1 × 0.001 =

- 0.001 has 3 decimal places.
- 56.1 × 1 = 56.1 → move decimal three places left → 0.0561

✔ Answer: 0.0561

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6) 7.5 × 0.01 =

- 0.01 has 2 decimal places.
- 7.5 × 1 = 7.5 → move decimal two places left → 0.075

✔ Answer: 0.075

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7) 0.02 × 0.1 =

- 0.02 (2 decimal places), 0.1 (1 decimal) → total 3
- 2 × 1 = 2 → 0.002

✔ Answer: 0.002

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8) 0.1 × 0.48 =

- 0.1 (1), 0.48 (2) → total 3 decimal places
- 1 × 48 = 48 → 0.048

✔ Answer: 0.048

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✔ Section A Answers:

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

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Section B: Multiplying Decimals

Same rules apply.

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1) 26 × 0.2 =

- 0.2 has 1 decimal place.
- 26 × 2 = 52 → move decimal one place left → 5.2

✔ Answer: 5.2

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2) 117 × 0.3 =

- 0.3 has 1 decimal.
- 117 × 3 = 351 → move decimal one place → 35.1

✔ Answer: 35.1

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3) 82 × 0.8 =

- 0.8 has 1 decimal.
- 82 × 8 = 656 → move decimal → 65.6

✔ Answer: 65.6

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4) 23 × 0.7 =

- 23 × 7 = 161 → move decimal → 16.1

✔ Answer: 16.1

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5) 55.4 × 0.4 =

- 55.4 has 1 decimal, 0.4 has 1 → total 2
- 554 × 4 = 2216 → now 2 decimal places → 22.16

✔ Answer: 22.16

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6) 75.1 × 0.9 =

- 75.1 × 9 = 675.9 → but 0.9 has 1 decimal → answer is 67.59

✔ Answer: 67.59

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7) 0.3 × 12.3 =

- 0.3 has 1, 12.3 has 1 → total 2
- 3 × 123 = 369 → 2 decimal places → 3.69

✔ Answer: 3.69

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8) 999 × 0.4 =

- 0.4 has 1 decimal
- 999 × 4 = 3996 → move decimal → 399.6

✔ Answer: 399.6

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✔ Section B Answers:

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

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Section C: More Decimal Multiplication

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1) 0.2 × 0.04 =

- 0.2 (1 decimal), 0.04 (2) → total 3
- 2 × 4 = 8 → 0.008

✔ Answer: 0.008

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2) 0.7 × 0.09 =

- 0.7 (1), 0.09 (2) → total 3
- 7 × 9 = 63 → 0.0063

✔ Answer: 0.0063

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3) 0.05 × 0.7 =

- 0.05 (2), 0.7 (1) → total 3
- 5 × 7 = 35 → 0.035

✔ Answer: 0.035

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4) 0.006 × 0.3 =

- 0.006 (3), 0.3 (1) → total 4
- 6 × 3 = 18 → 0.0018

✔ Answer: 0.0018

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5) 5.67 × 0.3 =

- 5.67 (2), 0.3 (1) → total 3
- 567 × 3 = 1701 → place decimal → 1.701

✔ Answer: 1.701

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6) 1.31 × 0.7 =

- 1.31 (2), 0.7 (1) → total 3
- 131 × 7 = 917 → 0.917

✔ Answer: 0.917

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7) 0.04 × 8.1 =

- 0.04 (2), 8.1 (1) → total 3
- 4 × 81 = 324 → 0.324

✔ Answer: 0.324

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8) 0.9 × 9.22 =

- 0.9 (1), 9.22 (2) → total 3
- 9 × 922 = 8298 → 0.8298? Wait — let's compute carefully:

Actually:
0.9 × 9.22 = ?

We can think:
= 9 × 9.22 / 10 = 82.98 / 10 = 8.298

Or:
9 × 922 = 8298 → 3 decimal places → 8.298

✔ Answer: 8.298

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✔ Section C Answers:

1) 0.008
2) 0.0063
3) 0.035
4) 0.0018
5) 1.701
6) 0.917
7) 0.324
8) 8.298

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✔ Final Answer Summary:

#### 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) 0.0063
3) 0.035
4) 0.0018
5) 1.701
6) 0.917
7) 0.324
8) 8.298

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🔍 Key Tips:

- Always count total decimal places in both numbers.
- Multiply as whole numbers first.
- Then insert the decimal point accordingly.
- Use estimation to check reasonableness (e.g., 0.1 × something ≈ 1/10 of it).

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