Let's solve each of the multiplication problems in the worksheet step by step. The goal is to multiply decimals with 1 or 2 digits after the decimal point.
---
Understanding Decimal Multiplication:
To multiply 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.
---
Now, let's solve each problem:
---
1. 0.9 × 0.7
- Multiply: 9 × 7 = 63
- Total decimal places: 1 + 1 = 2
- So, answer is
0.63
✔ Answer: 0.63
---
2. 0.4 × 0.03
- Multiply: 4 × 3 = 12
- Total decimal places: 1 + 2 = 3
- So, answer is
0.012
✔ Answer: 0.012
---
3. 0.2 × 0.5
- Multiply: 2 × 5 = 10
- Total decimal places: 1 + 1 = 2
- So, answer is
0.10 → which is
0.1
✔ Answer: 0.1
---
4. 0.5 × 0.6
- Multiply: 5 × 6 = 30
- Total decimal places: 1 + 1 = 2
- So, answer is
0.30 →
0.3
✔ Answer: 0.3
---
5. 1.0 × 0.05
- Multiply: 10 × 5 = 50
- Total decimal places: 1 + 2 = 3
- So, answer is
0.050 →
0.05
✔ Answer: 0.05
---
6. 0.7 × 0.8
- Multiply: 7 × 8 = 56
- Total decimal places: 1 + 1 = 2
- So, answer is
0.56
✔ Answer: 0.56
---
7. 0.5 × 0.5
- Multiply: 5 × 5 = 25
- Total decimal places: 1 + 1 = 2
- So, answer is
0.25
✔ Answer: 0.25
---
8. 0.7 × 0.03
- Multiply: 7 × 3 = 21
- Total decimal places: 1 + 2 = 3
- So, answer is
0.021
✔ Answer: 0.021
---
9. 0.3 × 0.07
- Multiply: 3 × 7 = 21
- Total decimal places: 1 + 2 = 3
- So, answer is
0.021
✔ Answer: 0.021
---
10. 0.2 × 0.06
- Multiply: 2 × 6 = 12
- Total decimal places: 1 + 2 = 3
- So, answer is
0.012
✔ Answer: 0.012
---
11. 0.6 × 0.08
- Multiply: 6 × 8 = 48
- Total decimal places: 1 + 2 = 3
- So, answer is
0.048
✔ Answer: 0.048
---
12. 0.8 × 0.1
- Multiply: 8 × 1 = 8
- Total decimal places: 1 + 1 = 2
- So, answer is
0.08
✔ Answer: 0.08
---
13. 0.2 × 0.10
- Multiply: 2 × 10 = 20
- Total decimal places: 1 + 2 = 3
- So, answer is
0.020 →
0.02
✔ Answer: 0.02
---
14. 0.4 × 0.2
- Multiply: 4 × 2 = 8
- Total decimal places: 1 + 1 = 2
- So, answer is
0.08
✔ Answer: 0.08
---
15. 0.7 × 0.2
- Multiply: 7 × 2 = 14
- Total decimal places: 1 + 1 = 2
- So, answer is
0.14
✔ Answer: 0.14
---
16. 0.6 × 0.7
- Multiply: 6 × 7 = 42
- Total decimal places: 1 + 1 = 2
- So, answer is
0.42
✔ Answer: 0.42
---
✔ Final Answers:
1. 0.63
2. 0.012
3. 0.1
4. 0.3
5. 0.05
6. 0.56
7. 0.25
8. 0.021
9. 0.021
10. 0.012
11. 0.048
12. 0.08
13. 0.02
14. 0.08
15. 0.14
16. 0.42
---
Let me know if you'd like this printed out or formatted for a student!
Parent Tip: Review the logic above to help your child master the concept of decimal worksheets 5th grade.