Decimal multiplication worksheet for practicing multiplication of decimal numbers.
Worksheet titled "Decimal Multiplication (A)" with multiple decimal multiplication problems, including examples like 0.1 × 0.8 and 0.7 × 0.9, designed for practice.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals Worksheets 7th Grade | Decimals worksheets ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals Worksheets 7th Grade | Decimals worksheets ...
Let's solve each of the decimal multiplication problems step by step.
---
When multiplying decimals:
1. Ignore the decimal points and multiply 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 as the total from step 2.
---
We'll go through each problem:
---
#### Row 1:
1. $ 0.1 \times 0.8 $
- $ 1 \times 8 = 8 $
- Total decimal places: 1 + 1 = 2
- Answer: 0.08
2. $ 0.7 \times 0.9 $
- $ 7 \times 9 = 63 $
- Decimal places: 2 → 0.63
3. $ 0.9 \times 0.2 $
- $ 9 \times 2 = 18 $
- Decimal places: 2 → 0.18
4. $ 0.6 \times 0.8 $
- $ 6 \times 8 = 48 $
- Decimal places: 2 → 0.48
5. $ 0.6 \times 0.5 $
- $ 6 \times 5 = 30 $
- Decimal places: 2 → 0.30 or 0.3
---
#### Row 2:
6. $ 0.3 \times 0.5 $
- $ 3 \times 5 = 15 $
- Decimal places: 2 → 0.15
7. $ 0.2 \times 0.3 $
- $ 2 \times 3 = 6 $
- Decimal places: 2 → 0.06
8. $ 0.2 \times 0.2 $
- $ 2 \times 2 = 4 $
- Decimal places: 2 → 0.04
9. $ 0.5 \times 0.2 $
- $ 5 \times 2 = 10 $
- Decimal places: 2 → 0.10 or 0.1
10. $ 0.9 \times 0.3 $
- $ 9 \times 3 = 27 $
- Decimal places: 2 → 0.27
---
#### Row 3:
11. $ 0.8 \times 0.9 $
- $ 8 \times 9 = 72 $
- Decimal places: 2 → 0.72
12. $ 0.9 \times 0.5 $
- $ 9 \times 5 = 45 $
- Decimal places: 2 → 0.45
13. $ 0.2 \times 0.9 $
- $ 2 \times 9 = 18 $
- Decimal places: 2 → 0.18
14. $ 0.1 \times 0.4 $
- $ 1 \times 4 = 4 $
- Decimal places: 2 → 0.04
15. $ 0.1 \times 0.8 $
- $ 1 \times 8 = 8 $
- Decimal places: 2 → 0.08
---
#### Row 4:
16. $ 0.6 \times 0.6 $
- $ 6 \times 6 = 36 $
- Decimal places: 2 → 0.36
17. $ 0.9 \times 0.1 $
- $ 9 \times 1 = 9 $
- Decimal places: 2 → 0.09
18. $ 0.4 \times 0.4 $
- $ 4 \times 4 = 16 $
- Decimal places: 2 → 0.16
19. $ 0.5 \times 0.4 $
- $ 5 \times 4 = 20 $
- Decimal places: 2 → 0.20 or 0.2
20. $ 0.9 \times 0.8 $
- $ 9 \times 8 = 72 $
- Decimal places: 2 → 0.72
---
#### Row 5:
21. $ 0.1 \times 0.9 $
- $ 1 \times 9 = 9 $
- Decimal places: 2 → 0.09
22. $ 0.2 \times 0.1 $
- $ 2 \times 1 = 2 $
- Decimal places: 2 → 0.02
23. $ 0.1 \times 0.3 $
- $ 1 \times 3 = 3 $
- Decimal places: 2 → 0.03
24. $ 0.4 \times 0.6 $
- $ 4 \times 6 = 24 $
- Decimal places: 2 → 0.24
25. $ 0.7 \times 0.1 $
- $ 7 \times 1 = 7 $
- Decimal places: 2 → 0.07
---
#### Row 6:
26. $ 0.2 \times 0.9 $
- $ 2 \times 9 = 18 $
- Decimal places: 2 → 0.18
27. $ 0.8 \times 0.8 $
- $ 8 \times 8 = 64 $
- Decimal places: 2 → 0.64
28. $ 0.6 \times 0.8 $
- $ 6 \times 8 = 48 $
- Decimal places: 2 → 0.48
29. $ 0.6 \times 0.4 $
- $ 6 \times 4 = 24 $
- Decimal places: 2 → 0.24
30. $ 0.1 \times 0.1 $
- $ 1 \times 1 = 1 $
- Decimal places: 2 → 0.01
---
```
0.08 0.63 0.18 0.48 0.30
0.15 0.06 0.04 0.10 0.27
0.72 0.45 0.18 0.04 0.08
0.36 0.09 0.16 0.20 0.72
0.09 0.02 0.03 0.24 0.07
0.18 0.64 0.48 0.24 0.01
```
> Note: Some answers like 0.30, 0.10, 0.20 are written as 0.3, 0.1, 0.2 for simplicity, but technically, keeping two decimal places is fine depending on the requirement.
---
- When multiplying decimals, count decimal places to place the decimal correctly.
- Practice helps build fluency with decimal multiplication.
Let me know if you'd like a printable version or explanation with visual models!
---
Understanding Decimal Multiplication
When multiplying decimals:
1. Ignore the decimal points and multiply 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 as the total from step 2.
---
We'll go through each problem:
---
#### Row 1:
1. $ 0.1 \times 0.8 $
- $ 1 \times 8 = 8 $
- Total decimal places: 1 + 1 = 2
- Answer: 0.08
2. $ 0.7 \times 0.9 $
- $ 7 \times 9 = 63 $
- Decimal places: 2 → 0.63
3. $ 0.9 \times 0.2 $
- $ 9 \times 2 = 18 $
- Decimal places: 2 → 0.18
4. $ 0.6 \times 0.8 $
- $ 6 \times 8 = 48 $
- Decimal places: 2 → 0.48
5. $ 0.6 \times 0.5 $
- $ 6 \times 5 = 30 $
- Decimal places: 2 → 0.30 or 0.3
---
#### Row 2:
6. $ 0.3 \times 0.5 $
- $ 3 \times 5 = 15 $
- Decimal places: 2 → 0.15
7. $ 0.2 \times 0.3 $
- $ 2 \times 3 = 6 $
- Decimal places: 2 → 0.06
8. $ 0.2 \times 0.2 $
- $ 2 \times 2 = 4 $
- Decimal places: 2 → 0.04
9. $ 0.5 \times 0.2 $
- $ 5 \times 2 = 10 $
- Decimal places: 2 → 0.10 or 0.1
10. $ 0.9 \times 0.3 $
- $ 9 \times 3 = 27 $
- Decimal places: 2 → 0.27
---
#### Row 3:
11. $ 0.8 \times 0.9 $
- $ 8 \times 9 = 72 $
- Decimal places: 2 → 0.72
12. $ 0.9 \times 0.5 $
- $ 9 \times 5 = 45 $
- Decimal places: 2 → 0.45
13. $ 0.2 \times 0.9 $
- $ 2 \times 9 = 18 $
- Decimal places: 2 → 0.18
14. $ 0.1 \times 0.4 $
- $ 1 \times 4 = 4 $
- Decimal places: 2 → 0.04
15. $ 0.1 \times 0.8 $
- $ 1 \times 8 = 8 $
- Decimal places: 2 → 0.08
---
#### Row 4:
16. $ 0.6 \times 0.6 $
- $ 6 \times 6 = 36 $
- Decimal places: 2 → 0.36
17. $ 0.9 \times 0.1 $
- $ 9 \times 1 = 9 $
- Decimal places: 2 → 0.09
18. $ 0.4 \times 0.4 $
- $ 4 \times 4 = 16 $
- Decimal places: 2 → 0.16
19. $ 0.5 \times 0.4 $
- $ 5 \times 4 = 20 $
- Decimal places: 2 → 0.20 or 0.2
20. $ 0.9 \times 0.8 $
- $ 9 \times 8 = 72 $
- Decimal places: 2 → 0.72
---
#### Row 5:
21. $ 0.1 \times 0.9 $
- $ 1 \times 9 = 9 $
- Decimal places: 2 → 0.09
22. $ 0.2 \times 0.1 $
- $ 2 \times 1 = 2 $
- Decimal places: 2 → 0.02
23. $ 0.1 \times 0.3 $
- $ 1 \times 3 = 3 $
- Decimal places: 2 → 0.03
24. $ 0.4 \times 0.6 $
- $ 4 \times 6 = 24 $
- Decimal places: 2 → 0.24
25. $ 0.7 \times 0.1 $
- $ 7 \times 1 = 7 $
- Decimal places: 2 → 0.07
---
#### Row 6:
26. $ 0.2 \times 0.9 $
- $ 2 \times 9 = 18 $
- Decimal places: 2 → 0.18
27. $ 0.8 \times 0.8 $
- $ 8 \times 8 = 64 $
- Decimal places: 2 → 0.64
28. $ 0.6 \times 0.8 $
- $ 6 \times 8 = 48 $
- Decimal places: 2 → 0.48
29. $ 0.6 \times 0.4 $
- $ 6 \times 4 = 24 $
- Decimal places: 2 → 0.24
30. $ 0.1 \times 0.1 $
- $ 1 \times 1 = 1 $
- Decimal places: 2 → 0.01
---
✔ Final Answers (in order):
```
0.08 0.63 0.18 0.48 0.30
0.15 0.06 0.04 0.10 0.27
0.72 0.45 0.18 0.04 0.08
0.36 0.09 0.16 0.20 0.72
0.09 0.02 0.03 0.24 0.07
0.18 0.64 0.48 0.24 0.01
```
> Note: Some answers like 0.30, 0.10, 0.20 are written as 0.3, 0.1, 0.2 for simplicity, but technically, keeping two decimal places is fine depending on the requirement.
---
🔍 Summary Tip:
- When multiplying decimals, count decimal places to place the decimal correctly.
- Practice helps build fluency with decimal multiplication.
Let me know if you'd like a printable version or explanation with visual models!
Parent Tip: Review the logic above to help your child master the concept of 7th grade math decimal worksheet.