Multiply Decimals and 2-Digit Numbers: Vertical Multiplication ... - Free Printable

Absolutely! Let’s solve each of these decimal × 2-digit multiplication problems step by step. The key is to ignore the decimal point initially, multiply as if they were whole numbers, and then place the decimal point in the product so that the total number of decimal places in the factors equals the number in the product.

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🔢 Problem Set 1: First Row

#### 1. 1.9 × 31
- Ignore decimal: 19 × 31 = 589
- 1.9 has 1 decimal place → Product must have 1 decimal place.
- ✔ Answer: 58.9

#### 2. 1.4 × 38
- 14 × 38 = 532
- 1.4 has 1 decimal place → Product: 53.2
- ✔ Answer: 53.2

#### 3. 4.6 × 55
- 46 × 55 = 2530
- 4.6 has 1 decimal place → Product: 253.0 → 253
- ✔ Answer: 253

#### 4. 8.4 × 35
- 84 × 35 = 2940
- 8.4 has 1 decimal place → Product: 294.0 → 294
- ✔ Answer: 294

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🔢 Problem Set 2: Second Row

#### 5. 22.2 × 23
- 222 × 23 = 5106
- 22.2 has 1 decimal place → Product: 510.6
- ✔ Answer: 510.6

#### 6. 41.6 × 75
- 416 × 75 = 31200
- 41.6 has 1 decimal place → Product: 3120.0 → 3120
- ✔ Answer: 3120

#### 7. 22.1 × 31
- 221 × 31 = 6851
- 22.1 has 1 decimal place → Product: 685.1
- ✔ Answer: 685.1

#### 8. 51.3 × 93
- 513 × 93 = 47709
- 51.3 has 1 decimal place → Product: 4770.9
- ✔ Answer: 4770.9

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🔢 Problem Set 3: Third Row

#### 9. 0.52 × 13
- 52 × 13 = 676
- 0.52 has 2 decimal places → Product: 6.76
- ✔ Answer: 6.76

#### 10. 0.27 × 83
- 27 × 83 = 2241
- 0.27 has 2 decimal places → Product: 22.41
- ✔ Answer: 22.41

#### 11. 0.83 × 45
- 83 × 45 = 3735
- 0.83 has 2 decimal places → Product: 37.35
- ✔ Answer: 37.35

#### 12. 0.85 × 70
- 85 × 70 = 5950
- 0.85 has 2 decimal places → Product: 59.50 → 59.5
- ✔ Answer: 59.5

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🔢 Problem Set 4: Fourth Row

#### 13. 43.15 × 24
- 4315 × 24 = 103560
- 43.15 has 2 decimal places → Product: 1035.60 → 1035.6
- ✔ Answer: 1035.6

#### 14. 84.74 × 83
- 8474 × 83 = let’s compute:
- 8474 × 80 = 677,920
- 8474 × 3 = 25,422
- Total = 677,920 + 25,422 = 703,342
- 84.74 has 2 decimal places → Product: 7033.42
- ✔ Answer: 7033.42

#### 15. 33.13 × 90
- 3313 × 90 = 298,170
- 33.13 has 2 decimal places → Product: 2981.70 → 2981.7
- ✔ Answer: 2981.7

#### 16. 9.83 × 56
- 983 × 56 =
- 983 × 50 = 49,150
- 983 × 6 = 5,898
- Total = 49,150 + 5,898 = 55,048
- 9.83 has 2 decimal places → Product: 550.48
- ✔ Answer: 550.48

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## ✔ Final Answers (in order):

| Problem | Answer |
|---------|------------|
| 1.9 × 31 | 58.9 |
| 1.4 × 38 | 53.2 |
| 4.6 × 55 | 253 |
| 8.4 × 35 | 294 |
| 22.2 × 23 | 510.6 |
| 41.6 × 75 | 3120 |
| 22.1 × 31 | 685.1 |
| 51.3 × 93 | 4770.9 |
| 0.52 × 13 | 6.76 |
| 0.27 × 83 | 22.41 |
| 0.83 × 45 | 37.35 |
| 0.85 × 70 | 59.5 |
| 43.15 × 24 | 1035.6 |
| 84.74 × 83 | 7033.42 |
| 33.13 × 90 | 2981.7 |
| 9.83 × 56 | 550.48 |

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## 🧠 Tip for Students:
When multiplying decimals:
1. Multiply normally (ignore decimals).
2. Count total decimal places in both numbers.
3. Place the decimal point in the answer so it has that many decimal places from the right.

You can always check your work with a calculator or estimation (e.g., 1.9 × 31 ≈ 2 × 30 = 60 → 58.9 is reasonable).

Let me know if you’d like to see any problem worked out vertically or with visual steps! 😊