Multiplying Decimals by Decimals (examples, solutions, videos ... - Free Printable

Let's solve each of these decimal multiplication problems step by step.

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Rule to Remember:

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

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Now, let's go through each problem:

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#### Left Column:

1. 0.07 × 0.1
- 7 × 1 = 7
- Total decimal places: 2 (in 0.07) + 1 (in 0.1) = 3
- So, answer is 0.007

2. 1.1 × 0.05
- 11 × 5 = 55
- Decimal places: 1 + 2 = 3
- Answer: 0.055

3. 0.1 × 0.2
- 1 × 2 = 2
- Decimal places: 1 + 1 = 2
- Answer: 0.02

4. 0.4 × 0.01
- 4 × 1 = 4
- Decimal places: 1 + 2 = 3
- Answer: 0.004

5. 0.4 × 0.9
- 4 × 9 = 36
- Decimal places: 1 + 1 = 2
- Answer: 0.36

6. 0.9 × 1.1
- 9 × 11 = 99
- Decimal places: 1 + 1 = 2
- Answer: 0.99

7. 0.7 × 0.07
- 7 × 7 = 49
- Decimal places: 1 + 2 = 3
- Answer: 0.049

8. 0.9 × 0.5
- 9 × 5 = 45
- Decimal places: 1 + 1 = 2
- Answer: 0.45

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#### Right Column:

1. 1.2 × 0.01
- 12 × 1 = 12
- Decimal places: 1 + 2 = 3
- Answer: 0.012

2. 0.9 × 0.9
- 9 × 9 = 81
- Decimal places: 1 + 1 = 2
- Answer: 0.81

3. 1.1 × 0.6
- 11 × 6 = 66
- Decimal places: 1 + 1 = 2
- Answer: 0.66

4. 0.1 × 0.8
- 1 × 8 = 8
- Decimal places: 1 + 1 = 2
- Answer: 0.08

5. 0.5 × 0.3
- 5 × 3 = 15
- Decimal places: 1 + 1 = 2
- Answer: 0.15

6. 0.4 × 0.06
- 4 × 6 = 24
- Decimal places: 1 + 2 = 3
- Answer: 0.024

7. 0.5 × 0.05
- 5 × 5 = 25
- Decimal places: 1 + 2 = 3
- Answer: 0.025

8. 0.04 × 0.7
- 4 × 7 = 28
- Decimal places: 2 + 1 = 3
- Answer: 0.028

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✔ Final Answers:

#### Left Column:
1. 0.07 × 0.1 = 0.007
2. 1.1 × 0.05 = 0.055
3. 0.1 × 0.2 = 0.02
4. 0.4 × 0.01 = 0.004
5. 0.4 × 0.9 = 0.36
6. 0.9 × 1.1 = 0.99
7. 0.7 × 0.07 = 0.049
8. 0.9 × 0.5 = 0.45

#### Right Column:
1. 1.2 × 0.01 = 0.012
2. 0.9 × 0.9 = 0.81
3. 1.1 × 0.6 = 0.66
4. 0.1 × 0.8 = 0.08
5. 0.5 × 0.3 = 0.15
6. 0.4 × 0.06 = 0.024
7. 0.5 × 0.05 = 0.025
8. 0.04 × 0.7 = 0.028

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✔ All answers are correct and follow the rule for multiplying decimals.

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