Let's solve each of the multiplication problems on the worksheet step by step. These are decimal multiplications, so we'll follow the standard method: multiply as if they were whole numbers, then place the decimal point based on the total number of decimal places in the original numbers.
---
1. 1.1 × 0.7
- Multiply: $ 11 \times 7 = 77 $
- Total decimal places: 1 (in 1.1) + 1 (in 0.7) = 2
- So, $ 1.1 \times 0.7 = 0.77 $
✔ Answer: 0.77
---
2. 4.2 × 5.8
- Multiply: $ 42 \times 58 = 2436 $
- Decimal places: 1 + 1 = 2
- So, $ 4.2 \times 5.8 = 24.36 $
✔ Answer: 24.36
---
3. 9.5 × 2.6
- Multiply: $ 95 \times 26 = 2470 $
- Decimal places: 1 + 1 = 2
- So, $ 9.5 \times 2.6 = 24.70 = 24.7 $
✔ Answer: 24.7
---
4. 7.3 × 1.9
- Multiply: $ 73 \times 19 = 1387 $
- Decimal places: 1 + 1 = 2
- So, $ 7.3 \times 1.9 = 13.87 $
✔ Answer: 13.87
---
5. 9.4 × 1.8
- Multiply: $ 94 \times 18 = 1692 $
- Decimal places: 1 + 1 = 2
- So, $ 9.4 \times 1.8 = 16.92 $
✔ Answer: 16.92
---
6. 7.3 × 3.3
- Multiply: $ 73 \times 33 = 2409 $
- Decimal places: 1 + 1 = 2
- So, $ 7.3 \times 3.3 = 24.09 $
✔ Answer: 24.09
---
7. 3.7 × 9.5
- Multiply: $ 37 \times 95 = 3515 $
- Decimal places: 1 + 1 = 2
- So, $ 3.7 \times 9.5 = 35.15 $
✔ Answer: 35.15
---
8. 2.2 × 4.1
- Multiply: $ 22 \times 41 = 902 $
- Decimal places: 1 + 1 = 2
- So, $ 2.2 \times 4.1 = 9.02 $
✔ Answer: 9.02
---
9. 5.4 × 3.9
- Multiply: $ 54 \times 39 = 2106 $
- Decimal places: 1 + 1 = 2
- So, $ 5.4 \times 3.9 = 21.06 $
✔ Answer: 21.06
---
10. 7.6 × 7.1
- Multiply: $ 76 \times 71 = 5396 $
- Decimal places: 1 + 1 = 2
- So, $ 7.6 \times 7.1 = 53.96 $
✔ Answer: 53.96
---
11. 3.8 × 0.6
- Multiply: $ 38 \times 6 = 228 $
- Decimal places: 1 + 1 = 2
- So, $ 3.8 \times 0.6 = 2.28 $
✔ Answer: 2.28
---
12. 5.7 × 4.9
- Multiply: $ 57 \times 49 = 2793 $
- Decimal places: 1 + 1 = 2
- So, $ 5.7 \times 4.9 = 27.93 $
✔ Answer: 27.93
---
✔ Final Answers:
1. $ 1.1 \times 0.7 = 0.77 $
2. $ 4.2 \times 5.8 = 24.36 $
3. $ 9.5 \times 2.6 = 24.7 $
4. $ 7.3 \times 1.9 = 13.87 $
5. $ 9.4 \times 1.8 = 16.92 $
6. $ 7.3 \times 3.3 = 24.09 $
7. $ 3.7 \times 9.5 = 35.15 $
8. $ 2.2 \times 4.1 = 9.02 $
9. $ 5.4 \times 3.9 = 21.06 $
10. $ 7.6 \times 7.1 = 53.96 $
11. $ 3.8 \times 0.6 = 2.28 $
12. $ 5.7 \times 4.9 = 27.93 $
---
📝 Explanation Summary:
To multiply decimals:
1. Ignore decimals and multiply as whole numbers.
2. Count total decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places.
This method ensures accuracy in decimal multiplication.
Let me know if you'd like a printable version with answers filled in!
Parent Tip: Review the logic above to help your child master the concept of 6th grade algebra worksheets.
