Multiplying Decimals worksheet with 15 practice problems and a cute cartoon girl.
Worksheet titled "Multiplying Decimals" with 15 problems, each requiring multiplication of two decimal numbers, and a cartoon girl illustration in the bottom right corner.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals Worksheets
Sure! Let’s solve each of these decimal multiplication problems step by step. The goal is to multiply the decimals and show your work — which usually means aligning the numbers, multiplying as if they were whole numbers, then placing the decimal point in the correct position based on the total number of decimal places in the factors.
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1. Ignore the decimal points and multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places as the total from step 2.
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Let’s solve each problem:
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1) 40.9 × 2.1
- Multiply 409 × 21 = 8589
- 40.9 has 1 decimal place, 2.1 has 1 → total = 2 decimal places
- So, 8589 → move decimal 2 places left → 85.89
✔ Answer: 85.89
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2) 65.9 × 26.4
- 659 × 264 = let’s compute:
- 659 × 200 = 131,800
- 659 × 60 = 39,540
- 659 × 4 = 2,636
- Add: 131,800 + 39,540 = 171,340 + 2,636 = 173,976
- 65.9 (1 dp), 26.4 (1 dp) → total 2 dp
- So, 173,976 → 1,739.76
✔ Answer: 1,739.76
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3) 85.6 × 80.5
- 856 × 805
- 856 × 800 = 684,800
- 856 × 5 = 4,280
- Total: 684,800 + 4,280 = 689,080
- 85.6 (1 dp), 80.5 (1 dp) → total 2 dp
- So, 689,080 → 6,890.80 (or just 6,890.8)
✔ Answer: 6,890.8
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4) 80.6 × 2.5
- 806 × 25 = 20,150
- 80.6 (1 dp), 2.5 (1 dp) → total 2 dp
- So, 20,150 → 201.50 or 201.5
✔ Answer: 201.5
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5) 92.5 × 80.8
- 925 × 808
- 925 × 800 = 740,000
- 925 × 8 = 7,400
- Total: 740,000 + 7,400 = 747,400
- 92.5 (1 dp), 80.8 (1 dp) → total 2 dp
- So, 747,400 → 7,474.00 or 7,474
✔ Answer: 7,474
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6) 59.1 × 1.4
- 591 × 14 = 8,274
- 59.1 (1 dp), 1.4 (1 dp) → total 2 dp
- So, 8,274 → 82.74
✔ Answer: 82.74
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7) 45.8 × 41.3
- 458 × 413
- 458 × 400 = 183,200
- 458 × 13 = 458 × 10 = 4,580 + 458 × 3 = 1,374 → total 5,954
- Sum: 183,200 + 5,954 = 189,154
- 45.8 (1 dp), 41.3 (1 dp) → total 2 dp
- So, 189,154 → 1,891.54
✔ Answer: 1,891.54
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8) 35.0 × 7.8
- 350 × 78 = 27,300
- 35.0 (1 dp), 7.8 (1 dp) → total 2 dp
- So, 27,300 → 273.00 or 273
✔ Answer: 273
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9) 84.9 × 2.3
- 849 × 23 = 849 × 20 = 16,980 + 849 × 3 = 2,547 → total 19,527
- 84.9 (1 dp), 2.3 (1 dp) → total 2 dp
- So, 19,527 → 195.27
✔ Answer: 195.27
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10) 33.5 × 4.4
- 335 × 44 = 335 × 40 = 13,400 + 335 × 4 = 1,340 → total 14,740
- 33.5 (1 dp), 4.4 (1 dp) → total 2 dp
- So, 14,740 → 147.40 or 147.4
✔ Answer: 147.4
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11) 25.4 × 15.5
- 254 × 155
- 254 × 100 = 25,400
- 254 × 50 = 12,700
- 254 × 5 = 1,270
- Sum: 25,400 + 12,700 = 38,100 + 1,270 = 39,370
- 25.4 (1 dp), 15.5 (1 dp) → total 2 dp
- So, 39,370 → 393.70 or 393.7
✔ Answer: 393.7
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12) 86.1 × 86.7
- 861 × 867
- This is big — let’s do:
- 861 × 800 = 688,800
- 861 × 60 = 51,660
- 861 × 7 = 6,027
- Sum: 688,800 + 51,660 = 740,460 + 6,027 = 746,487
- 86.1 (1 dp), 86.7 (1 dp) → total 2 dp
- So, 746,487 → 7,464.87
✔ Answer: 7,464.87
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13) 52.2 × 34.3
- 522 × 343
- 522 × 300 = 156,600
- 522 × 40 = 20,880
- 522 × 3 = 1,566
- Sum: 156,600 + 20,880 = 177,480 + 1,566 = 179,046
- 52.2 (1 dp), 34.3 (1 dp) → total 2 dp
- So, 179,046 → 1,790.46
✔ Answer: 1,790.46
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14) 62.5 × 35.3
- 625 × 353
- 625 × 300 = 187,500
- 625 × 50 = 31,250
- 625 × 3 = 1,875
- Sum: 187,500 + 31,250 = 218,750 + 1,875 = 220,625
- 62.5 (1 dp), 35.3 (1 dp) → total 2 dp
- So, 220,625 → 2,206.25
✔ Answer: 2,206.25
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15) 20.1 × 6.0
- 201 × 60 = 12,060
- 20.1 (1 dp), 6.0 (1 dp) → total 2 dp
- So, 12,060 → 120.60 or 120.6
✔ Answer: 120.6
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## ✔ Final Answers Summary:
1. 85.89
2. 1,739.76
3. 6,890.8
4. 201.5
5. 7,474
6. 82.74
7. 1,891.54
8. 273
9. 195.27
10. 147.4
11. 393.7
12. 7,464.87
13. 1,790.46
14. 2,206.25
15. 120.6
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📌 Tip: Always double-check decimal placement by counting total decimal places in the original numbers!
Let me know if you’d like to see any of these worked out with a visual grid or step-by-step multiplication layout!
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General Rule for Multiplying Decimals:
1. Ignore the decimal points and multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places as the total from step 2.
---
Let’s solve each problem:
---
1) 40.9 × 2.1
- Multiply 409 × 21 = 8589
- 40.9 has 1 decimal place, 2.1 has 1 → total = 2 decimal places
- So, 8589 → move decimal 2 places left → 85.89
✔ Answer: 85.89
---
2) 65.9 × 26.4
- 659 × 264 = let’s compute:
- 659 × 200 = 131,800
- 659 × 60 = 39,540
- 659 × 4 = 2,636
- Add: 131,800 + 39,540 = 171,340 + 2,636 = 173,976
- 65.9 (1 dp), 26.4 (1 dp) → total 2 dp
- So, 173,976 → 1,739.76
✔ Answer: 1,739.76
---
3) 85.6 × 80.5
- 856 × 805
- 856 × 800 = 684,800
- 856 × 5 = 4,280
- Total: 684,800 + 4,280 = 689,080
- 85.6 (1 dp), 80.5 (1 dp) → total 2 dp
- So, 689,080 → 6,890.80 (or just 6,890.8)
✔ Answer: 6,890.8
---
4) 80.6 × 2.5
- 806 × 25 = 20,150
- 80.6 (1 dp), 2.5 (1 dp) → total 2 dp
- So, 20,150 → 201.50 or 201.5
✔ Answer: 201.5
---
5) 92.5 × 80.8
- 925 × 808
- 925 × 800 = 740,000
- 925 × 8 = 7,400
- Total: 740,000 + 7,400 = 747,400
- 92.5 (1 dp), 80.8 (1 dp) → total 2 dp
- So, 747,400 → 7,474.00 or 7,474
✔ Answer: 7,474
---
6) 59.1 × 1.4
- 591 × 14 = 8,274
- 59.1 (1 dp), 1.4 (1 dp) → total 2 dp
- So, 8,274 → 82.74
✔ Answer: 82.74
---
7) 45.8 × 41.3
- 458 × 413
- 458 × 400 = 183,200
- 458 × 13 = 458 × 10 = 4,580 + 458 × 3 = 1,374 → total 5,954
- Sum: 183,200 + 5,954 = 189,154
- 45.8 (1 dp), 41.3 (1 dp) → total 2 dp
- So, 189,154 → 1,891.54
✔ Answer: 1,891.54
---
8) 35.0 × 7.8
- 350 × 78 = 27,300
- 35.0 (1 dp), 7.8 (1 dp) → total 2 dp
- So, 27,300 → 273.00 or 273
✔ Answer: 273
---
9) 84.9 × 2.3
- 849 × 23 = 849 × 20 = 16,980 + 849 × 3 = 2,547 → total 19,527
- 84.9 (1 dp), 2.3 (1 dp) → total 2 dp
- So, 19,527 → 195.27
✔ Answer: 195.27
---
10) 33.5 × 4.4
- 335 × 44 = 335 × 40 = 13,400 + 335 × 4 = 1,340 → total 14,740
- 33.5 (1 dp), 4.4 (1 dp) → total 2 dp
- So, 14,740 → 147.40 or 147.4
✔ Answer: 147.4
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11) 25.4 × 15.5
- 254 × 155
- 254 × 100 = 25,400
- 254 × 50 = 12,700
- 254 × 5 = 1,270
- Sum: 25,400 + 12,700 = 38,100 + 1,270 = 39,370
- 25.4 (1 dp), 15.5 (1 dp) → total 2 dp
- So, 39,370 → 393.70 or 393.7
✔ Answer: 393.7
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12) 86.1 × 86.7
- 861 × 867
- This is big — let’s do:
- 861 × 800 = 688,800
- 861 × 60 = 51,660
- 861 × 7 = 6,027
- Sum: 688,800 + 51,660 = 740,460 + 6,027 = 746,487
- 86.1 (1 dp), 86.7 (1 dp) → total 2 dp
- So, 746,487 → 7,464.87
✔ Answer: 7,464.87
---
13) 52.2 × 34.3
- 522 × 343
- 522 × 300 = 156,600
- 522 × 40 = 20,880
- 522 × 3 = 1,566
- Sum: 156,600 + 20,880 = 177,480 + 1,566 = 179,046
- 52.2 (1 dp), 34.3 (1 dp) → total 2 dp
- So, 179,046 → 1,790.46
✔ Answer: 1,790.46
---
14) 62.5 × 35.3
- 625 × 353
- 625 × 300 = 187,500
- 625 × 50 = 31,250
- 625 × 3 = 1,875
- Sum: 187,500 + 31,250 = 218,750 + 1,875 = 220,625
- 62.5 (1 dp), 35.3 (1 dp) → total 2 dp
- So, 220,625 → 2,206.25
✔ Answer: 2,206.25
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15) 20.1 × 6.0
- 201 × 60 = 12,060
- 20.1 (1 dp), 6.0 (1 dp) → total 2 dp
- So, 12,060 → 120.60 or 120.6
✔ Answer: 120.6
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## ✔ Final Answers Summary:
1. 85.89
2. 1,739.76
3. 6,890.8
4. 201.5
5. 7,474
6. 82.74
7. 1,891.54
8. 273
9. 195.27
10. 147.4
11. 393.7
12. 7,464.87
13. 1,790.46
14. 2,206.25
15. 120.6
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📌 Tip: Always double-check decimal placement by counting total decimal places in the original numbers!
Let me know if you’d like to see any of these worked out with a visual grid or step-by-step multiplication layout!
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals practice sheets.
