Multiplying Decimals by Whole Number worksheet - Free Printable
Educational worksheet: Multiplying Decimals by Whole Number worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplying Decimals by Whole Number worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals by Whole Number worksheet
Let's solve each of the multiplication problems step by step. We are multiplying decimals by 1-digit whole numbers.
---
#### 1. $ 0.60 \times 5 $
- Multiply as if they were whole numbers: $ 60 \times 5 = 300 $
- Count decimal places: 0.60 has 2 decimal places
- Place the decimal point: $ 3.00 $ → 3.00 or 3
✔ Answer: $ 3.00 $
---
#### 2. $ 0.186 \times 8 $
- $ 186 \times 8 = 1488 $
- 0.186 has 3 decimal places
- So, place the decimal: $ 1.488 $
✔ Answer: $ 1.488 $
---
#### 3. $ 0.075 \times 2 $
- $ 75 \times 2 = 150 $
- 0.075 has 3 decimal places
- So, $ 0.150 $ → 0.15
✔ Answer: $ 0.150 $ or 0.15
---
#### 4. $ 6.4 \times 3 $
- $ 64 \times 3 = 192 $
- 6.4 has 1 decimal place
- So, $ 19.2 $
✔ Answer: $ 19.2 $
---
#### 5. $ 0.660 \times 9 $
- $ 660 \times 9 = 5940 $
- 0.660 has 3 decimal places
- So, $ 5.940 $ → 5.94
✔ Answer: $ 5.940 $ or 5.94
---
#### 6. $ 5.1 \times 6 $
- $ 51 \times 6 = 306 $
- 5.1 has 1 decimal place
- So, $ 30.6 $
✔ Answer: $ 30.6 $
---
#### 7. $ 94.3 \times 8 $
- $ 943 \times 8 = 7544 $
- 94.3 has 1 decimal place
- So, $ 754.4 $
✔ Answer: $ 754.4 $
---
#### 8. $ 6.8 \times 5 $
- $ 68 \times 5 = 340 $
- 6.8 has 1 decimal place
- So, $ 34.0 $
✔ Answer: $ 34.0 $ or 34
---
#### 9. $ 2.59 \times 2 $
- $ 259 \times 2 = 518 $
- 2.59 has 2 decimal places
- So, $ 5.18 $
✔ Answer: $ 5.18 $
---
#### 10. $ 0.80 \times 7 $
- $ 80 \times 7 = 560 $
- 0.80 has 2 decimal places
- So, $ 5.60 $ → 5.6
✔ Answer: $ 5.60 $ or 5.6
---
#### 11. $ 0.15 \times 4 $
- $ 15 \times 4 = 60 $
- 0.15 has 2 decimal places
- So, $ 0.60 $
✔ Answer: $ 0.60 $
---
#### 12. $ 8.7 \times 5 $
- $ 87 \times 5 = 435 $
- 8.7 has 1 decimal place
- So, $ 43.5 $
✔ Answer: $ 43.5 $
---
#### 13. $ 0.42 \times 3 $
- $ 42 \times 3 = 126 $
- 0.42 has 2 decimal places
- So, $ 1.26 $
✔ Answer: $ 1.26 $
---
#### 14. $ 71.8 \times 6 $
- $ 718 \times 6 = 4308 $
- 71.8 has 1 decimal place
- So, $ 430.8 $
✔ Answer: $ 430.8 $
---
#### 15. $ 0.558 \times 8 $
- $ 558 \times 8 = 4464 $
- 0.558 has 3 decimal places
- So, $ 4.464 $
✔ Answer: $ 4.464 $
---
| Problem | Answer |
|--------|--------|
| 1. $ 0.60 \times 5 $ | 3.00 |
| 2. $ 0.186 \times 8 $ | 1.488 |
| 3. $ 0.075 \times 2 $ | 0.150 |
| 4. $ 6.4 \times 3 $ | 19.2 |
| 5. $ 0.660 \times 9 $ | 5.940 |
| 6. $ 5.1 \times 6 $ | 30.6 |
| 7. $ 94.3 \times 8 $ | 754.4 |
| 8. $ 6.8 \times 5 $ | 34.0 |
| 9. $ 2.59 \times 2 $ | 5.18 |
| 10. $ 0.80 \times 7 $ | 5.60 |
| 11. $ 0.15 \times 4 $ | 0.60 |
| 12. $ 8.7 \times 5 $ | 43.5 |
| 13. $ 0.42 \times 3 $ | 1.26 |
| 14. $ 71.8 \times 6 $ | 430.8 |
| 15. $ 0.558 \times 8 $ | 4.464 |
---
- Ignore the decimal at first and multiply like whole numbers.
- Count how many decimal places are in the original decimal number.
- Place the decimal point in the answer so it has the same number of decimal places.
Let me know if you'd like this formatted as a printable worksheet!
---
Step-by-step Solutions:
#### 1. $ 0.60 \times 5 $
- Multiply as if they were whole numbers: $ 60 \times 5 = 300 $
- Count decimal places: 0.60 has 2 decimal places
- Place the decimal point: $ 3.00 $ → 3.00 or 3
✔ Answer: $ 3.00 $
---
#### 2. $ 0.186 \times 8 $
- $ 186 \times 8 = 1488 $
- 0.186 has 3 decimal places
- So, place the decimal: $ 1.488 $
✔ Answer: $ 1.488 $
---
#### 3. $ 0.075 \times 2 $
- $ 75 \times 2 = 150 $
- 0.075 has 3 decimal places
- So, $ 0.150 $ → 0.15
✔ Answer: $ 0.150 $ or 0.15
---
#### 4. $ 6.4 \times 3 $
- $ 64 \times 3 = 192 $
- 6.4 has 1 decimal place
- So, $ 19.2 $
✔ Answer: $ 19.2 $
---
#### 5. $ 0.660 \times 9 $
- $ 660 \times 9 = 5940 $
- 0.660 has 3 decimal places
- So, $ 5.940 $ → 5.94
✔ Answer: $ 5.940 $ or 5.94
---
#### 6. $ 5.1 \times 6 $
- $ 51 \times 6 = 306 $
- 5.1 has 1 decimal place
- So, $ 30.6 $
✔ Answer: $ 30.6 $
---
#### 7. $ 94.3 \times 8 $
- $ 943 \times 8 = 7544 $
- 94.3 has 1 decimal place
- So, $ 754.4 $
✔ Answer: $ 754.4 $
---
#### 8. $ 6.8 \times 5 $
- $ 68 \times 5 = 340 $
- 6.8 has 1 decimal place
- So, $ 34.0 $
✔ Answer: $ 34.0 $ or 34
---
#### 9. $ 2.59 \times 2 $
- $ 259 \times 2 = 518 $
- 2.59 has 2 decimal places
- So, $ 5.18 $
✔ Answer: $ 5.18 $
---
#### 10. $ 0.80 \times 7 $
- $ 80 \times 7 = 560 $
- 0.80 has 2 decimal places
- So, $ 5.60 $ → 5.6
✔ Answer: $ 5.60 $ or 5.6
---
#### 11. $ 0.15 \times 4 $
- $ 15 \times 4 = 60 $
- 0.15 has 2 decimal places
- So, $ 0.60 $
✔ Answer: $ 0.60 $
---
#### 12. $ 8.7 \times 5 $
- $ 87 \times 5 = 435 $
- 8.7 has 1 decimal place
- So, $ 43.5 $
✔ Answer: $ 43.5 $
---
#### 13. $ 0.42 \times 3 $
- $ 42 \times 3 = 126 $
- 0.42 has 2 decimal places
- So, $ 1.26 $
✔ Answer: $ 1.26 $
---
#### 14. $ 71.8 \times 6 $
- $ 718 \times 6 = 4308 $
- 71.8 has 1 decimal place
- So, $ 430.8 $
✔ Answer: $ 430.8 $
---
#### 15. $ 0.558 \times 8 $
- $ 558 \times 8 = 4464 $
- 0.558 has 3 decimal places
- So, $ 4.464 $
✔ Answer: $ 4.464 $
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ 0.60 \times 5 $ | 3.00 |
| 2. $ 0.186 \times 8 $ | 1.488 |
| 3. $ 0.075 \times 2 $ | 0.150 |
| 4. $ 6.4 \times 3 $ | 19.2 |
| 5. $ 0.660 \times 9 $ | 5.940 |
| 6. $ 5.1 \times 6 $ | 30.6 |
| 7. $ 94.3 \times 8 $ | 754.4 |
| 8. $ 6.8 \times 5 $ | 34.0 |
| 9. $ 2.59 \times 2 $ | 5.18 |
| 10. $ 0.80 \times 7 $ | 5.60 |
| 11. $ 0.15 \times 4 $ | 0.60 |
| 12. $ 8.7 \times 5 $ | 43.5 |
| 13. $ 0.42 \times 3 $ | 1.26 |
| 14. $ 71.8 \times 6 $ | 430.8 |
| 15. $ 0.558 \times 8 $ | 4.464 |
---
🔍 Key Tip for Multiplying Decimals:
- Ignore the decimal at first and multiply like whole numbers.
- Count how many decimal places are in the original decimal number.
- Place the decimal point in the answer so it has the same number of decimal places.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiply decimals and whole numbers worksheet.