Negative Decimal Multiplication worksheet with 24 problems for practice.
Worksheet titled "Negative Decimal Multiplication" with problems involving multiplication of negative decimals, including spaces for name and score.
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each of the negative decimal multiplication problems step by step.
We’ll follow the rules for multiplying decimals and signs:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
Also, when multiplying decimals:
1. Ignore the signs first.
2. Multiply as if they were whole numbers.
3. Count the total number of decimal places in both numbers.
4. Place the decimal point in the product so that it has the same number of decimal places.
5. Apply the correct sign based on the rule above.
---
#### Row 1:
1. $ 0.9 \times -1.3 = $
- $ 0.9 \times 1.3 = 1.17 $
- One positive, one negative → negative
- Answer: -1.17
2. $ -0.9 \times -1.6 = $
- $ 0.9 \times 1.6 = 1.44 $
- Both negative → positive
- Answer: 1.44
3. $ 3.1 \times -1.3 = $
- $ 3.1 \times 1.3 = 4.03 $
- One positive, one negative → negative
- Answer: -4.03
---
#### Row 2:
4. $ 1.3 \times -2.5 = $
- $ 1.3 \times 2.5 = 3.25 $
- One positive, one negative → negative
- Answer: -3.25
5. $ -0.9 \times 1.2 = $
- $ 0.9 \times 1.2 = 1.08 $
- One negative, one positive → negative
- Answer: -1.08
6. $ 4.4 \times -1.8 = $
- $ 4.4 \times 1.8 = 7.92 $
- One positive, one negative → negative
- Answer: -7.92
---
#### Row 3:
7. $ -4.2 \times 5 = $
- $ 4.2 \times 5 = 21.0 $
- One negative, one positive → negative
- Answer: -21.0
8. $ -0.2 \times -4.2 = $
- $ 0.2 \times 4.2 = 0.84 $
- Both negative → positive
- Answer: 0.84
9. $ -1.2 \times 1.3 = $
- $ 1.2 \times 1.3 = 1.56 $
- One negative, one positive → negative
- Answer: -1.56
---
#### Row 4:
10. $ -2.5 \times -2 = $
- $ 2.5 \times 2 = 5.0 $
- Both negative → positive
- Answer: 5.0
11. $ 0.3 \times -3.5 = $
- $ 0.3 \times 3.5 = 1.05 $
- One positive, one negative → negative
- Answer: -1.05
12. $ -6.1 \times -1.7 = $
- $ 6.1 \times 1.7 = 10.37 $
- Both negative → positive
- Answer: 10.37
---
#### Row 5:
13. $ -0.5 \times -1.4 = $
- $ 0.5 \times 1.4 = 0.7 $
- Both negative → positive
- Answer: 0.7
14. $ 0.2 \times -4.1 = $
- $ 0.2 \times 4.1 = 0.82 $
- One positive, one negative → negative
- Answer: -0.82
15. $ -0.3 \times -1.6 = $
- $ 0.3 \times 1.6 = 0.48 $
- Both negative → positive
- Answer: 0.48
---
#### Row 6:
16. $ 4.1 \times -5 = $
- $ 4.1 \times 5 = 20.5 $
- One positive, one negative → negative
- Answer: -20.5
17. $ -1.4 \times -2.6 = $
- $ 1.4 \times 2.6 = 3.64 $
- Both negative → positive
- Answer: 3.64
18. $ 4.9 \times -1.6 = $
- $ 4.9 \times 1.6 = 7.84 $
- One positive, one negative → negative
- Answer: -7.84
---
#### Row 7:
19. $ 3 \times -1.9 = $
- $ 3 \times 1.9 = 5.7 $
- One positive, one negative → negative
- Answer: -5.7
20. $ -2.6 \times 1.8 = $
- $ 2.6 \times 1.8 = 4.68 $
- One negative, one positive → negative
- Answer: -4.68
21. $ 3.1 \times -1.5 = $
- $ 3.1 \times 1.5 = 4.65 $
- One positive, one negative → negative
- Answer: -4.65
---
#### Row 8:
22. $ -5.1 \times 1.4 = $
- $ 5.1 \times 1.4 = 7.14 $
- One negative, one positive → negative
- Answer: -7.14
23. $ 1.8 \times -1.5 = $
- $ 1.8 \times 1.5 = 2.7 $
- One positive, one negative → negative
- Answer: -2.7
24. $ -5.4 \times 2.4 = $
- $ 5.4 \times 2.4 = 12.96 $
- One negative, one positive → negative
- Answer: -12.96
---
#### Row 9:
25. $ -5 \times -1.2 = $
- $ 5 \times 1.2 = 6.0 $
- Both negative → positive
- Answer: 6.0
26. $ -0.3 \times -1.7 = $
- $ 0.3 \times 1.7 = 0.51 $
- Both negative → positive
- Answer: 0.51
27. $ -5.2 \times -6.3 = $
- $ 5.2 \times 6.3 = 32.76 $
- Both negative → positive
- Answer: 32.76
---
#### Row 10:
28. $ -0.9 \times -6 = $
- $ 0.9 \times 6 = 5.4 $
- Both negative → positive
- Answer: 5.4
29. $ -3.2 \times -1.7 = $
- $ 3.2 \times 1.7 = 5.44 $
- Both negative → positive
- Answer: 5.44
30. $ -0.7 \times -1.7 = $
- $ 0.7 \times 1.7 = 1.19 $
- Both negative → positive
- Answer: 1.19
---
```
-1.17 1.44 -4.03
-3.25 -1.08 -7.92
-21.0 0.84 -1.56
5.0 -1.05 10.37
0.7 -0.82 0.48
-20.5 3.64 -7.84
-5.7 -4.68 -4.65
-7.14 -2.7 -12.96
6.0 0.51 32.76
5.4 5.44 1.19
```
You can now fill these into the worksheet!
Let me know if you'd like this in a printable format or need explanations for any specific problem.
We’ll follow the rules for multiplying decimals and signs:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
Also, when multiplying decimals:
1. Ignore the signs first.
2. Multiply as if they were whole numbers.
3. Count the total number of decimal places in both numbers.
4. Place the decimal point in the product so that it has the same number of decimal places.
5. Apply the correct sign based on the rule above.
---
Let’s go through each problem:
#### Row 1:
1. $ 0.9 \times -1.3 = $
- $ 0.9 \times 1.3 = 1.17 $
- One positive, one negative → negative
- Answer: -1.17
2. $ -0.9 \times -1.6 = $
- $ 0.9 \times 1.6 = 1.44 $
- Both negative → positive
- Answer: 1.44
3. $ 3.1 \times -1.3 = $
- $ 3.1 \times 1.3 = 4.03 $
- One positive, one negative → negative
- Answer: -4.03
---
#### Row 2:
4. $ 1.3 \times -2.5 = $
- $ 1.3 \times 2.5 = 3.25 $
- One positive, one negative → negative
- Answer: -3.25
5. $ -0.9 \times 1.2 = $
- $ 0.9 \times 1.2 = 1.08 $
- One negative, one positive → negative
- Answer: -1.08
6. $ 4.4 \times -1.8 = $
- $ 4.4 \times 1.8 = 7.92 $
- One positive, one negative → negative
- Answer: -7.92
---
#### Row 3:
7. $ -4.2 \times 5 = $
- $ 4.2 \times 5 = 21.0 $
- One negative, one positive → negative
- Answer: -21.0
8. $ -0.2 \times -4.2 = $
- $ 0.2 \times 4.2 = 0.84 $
- Both negative → positive
- Answer: 0.84
9. $ -1.2 \times 1.3 = $
- $ 1.2 \times 1.3 = 1.56 $
- One negative, one positive → negative
- Answer: -1.56
---
#### Row 4:
10. $ -2.5 \times -2 = $
- $ 2.5 \times 2 = 5.0 $
- Both negative → positive
- Answer: 5.0
11. $ 0.3 \times -3.5 = $
- $ 0.3 \times 3.5 = 1.05 $
- One positive, one negative → negative
- Answer: -1.05
12. $ -6.1 \times -1.7 = $
- $ 6.1 \times 1.7 = 10.37 $
- Both negative → positive
- Answer: 10.37
---
#### Row 5:
13. $ -0.5 \times -1.4 = $
- $ 0.5 \times 1.4 = 0.7 $
- Both negative → positive
- Answer: 0.7
14. $ 0.2 \times -4.1 = $
- $ 0.2 \times 4.1 = 0.82 $
- One positive, one negative → negative
- Answer: -0.82
15. $ -0.3 \times -1.6 = $
- $ 0.3 \times 1.6 = 0.48 $
- Both negative → positive
- Answer: 0.48
---
#### Row 6:
16. $ 4.1 \times -5 = $
- $ 4.1 \times 5 = 20.5 $
- One positive, one negative → negative
- Answer: -20.5
17. $ -1.4 \times -2.6 = $
- $ 1.4 \times 2.6 = 3.64 $
- Both negative → positive
- Answer: 3.64
18. $ 4.9 \times -1.6 = $
- $ 4.9 \times 1.6 = 7.84 $
- One positive, one negative → negative
- Answer: -7.84
---
#### Row 7:
19. $ 3 \times -1.9 = $
- $ 3 \times 1.9 = 5.7 $
- One positive, one negative → negative
- Answer: -5.7
20. $ -2.6 \times 1.8 = $
- $ 2.6 \times 1.8 = 4.68 $
- One negative, one positive → negative
- Answer: -4.68
21. $ 3.1 \times -1.5 = $
- $ 3.1 \times 1.5 = 4.65 $
- One positive, one negative → negative
- Answer: -4.65
---
#### Row 8:
22. $ -5.1 \times 1.4 = $
- $ 5.1 \times 1.4 = 7.14 $
- One negative, one positive → negative
- Answer: -7.14
23. $ 1.8 \times -1.5 = $
- $ 1.8 \times 1.5 = 2.7 $
- One positive, one negative → negative
- Answer: -2.7
24. $ -5.4 \times 2.4 = $
- $ 5.4 \times 2.4 = 12.96 $
- One negative, one positive → negative
- Answer: -12.96
---
#### Row 9:
25. $ -5 \times -1.2 = $
- $ 5 \times 1.2 = 6.0 $
- Both negative → positive
- Answer: 6.0
26. $ -0.3 \times -1.7 = $
- $ 0.3 \times 1.7 = 0.51 $
- Both negative → positive
- Answer: 0.51
27. $ -5.2 \times -6.3 = $
- $ 5.2 \times 6.3 = 32.76 $
- Both negative → positive
- Answer: 32.76
---
#### Row 10:
28. $ -0.9 \times -6 = $
- $ 0.9 \times 6 = 5.4 $
- Both negative → positive
- Answer: 5.4
29. $ -3.2 \times -1.7 = $
- $ 3.2 \times 1.7 = 5.44 $
- Both negative → positive
- Answer: 5.44
30. $ -0.7 \times -1.7 = $
- $ 0.7 \times 1.7 = 1.19 $
- Both negative → positive
- Answer: 1.19
---
✔ Final Answers (in order):
```
-1.17 1.44 -4.03
-3.25 -1.08 -7.92
-21.0 0.84 -1.56
5.0 -1.05 10.37
0.7 -0.82 0.48
-20.5 3.64 -7.84
-5.7 -4.68 -4.65
-7.14 -2.7 -12.96
6.0 0.51 32.76
5.4 5.44 1.19
```
You can now fill these into the worksheet!
Let me know if you'd like this in a printable format or need explanations for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals worksheet 7th grade.