Grade 6 Worksheets: Decimal by decimal multiplication (1-4 digits ... - Free Printable

Let's solve each of the decimal multiplication problems in the worksheet step by step. The goal is to multiply decimals using column multiplication and correctly place the decimal point in the final answer.

---

Problem 1:

```
8.1
× 0.900
-------
```

Step 1: Ignore decimals and multiply as whole numbers:
- 81 × 900 = 72,900

Step 2: Count total decimal places:
- 8.1 has 1 decimal place
- 0.900 has 3 decimal places
- Total = 1 + 3 = 4 decimal places

Step 3: Place the decimal point:
- 72,900 → move decimal 4 places left → 7.2900

But since trailing zeros after decimal don't matter:
Answer: 7.29

---

Problem 2:

```
0.061
× 0.200
-------
```

Step 1: Multiply as whole numbers:
- 61 × 200 = 12,200

Step 2: Count decimal places:
- 0.061 → 3 decimal places
- 0.200 → 3 decimal places
- Total = 6 decimal places

Step 3: Place decimal:
- 12,200 → move decimal 6 places left → 0.012200

Remove trailing zeros:
Answer: 0.0122

---

Problem 3:

```
2.2
× 4.00
-------
```

Step 1: Multiply:
- 22 × 400 = 8,800

Step 2: Decimal places:
- 2.2 → 1
- 4.00 → 2
- Total = 3

Step 3: Place decimal:
- 8,800 → move 3 places left → 8.800

Remove trailing zeros:
Answer: 8.8

---

Problem 4:

```
0.83
× 0.0100
-------
```

Step 1: Multiply:
- 83 × 100 = 8,300

Step 2: Decimal places:
- 0.83 → 2
- 0.0100 → 4
- Total = 6

Step 3: Move decimal 6 places:
- 8,300 → 0.008300 → remove trailing zeros → 0.0083

Answer: 0.0083

---

Problem 5:

```
0.0080
× 0.700
-------
```

Step 1: Multiply:
- 80 × 700 = 56,000

Step 2: Decimal places:
- 0.0080 → 4
- 0.700 → 3
- Total = 7

Step 3: Move decimal 7 places:
- 56,000 → 0.0056000 → remove trailing zeros → 0.0056

Answer: 0.0056

---

Problem 6:

```
0.0079
× 50.0
-------
```

Step 1: Multiply:
- 79 × 500 = 39,500

Step 2: Decimal places:
- 0.0079 → 4
- 50.0 → 1
- Total = 5

Step 3: Move decimal 5 places:
- 39,500 → 0.39500 → remove trailing zeros → 0.395

Answer: 0.395

---

Problem 7:

```
0.0082
× 40.0
-------
```

Step 1: Multiply:
- 82 × 400 = 32,800

Step 2: Decimal places:
- 0.0082 → 4
- 40.0 → 1
- Total = 5

Step 3: Move decimal 5 places:
- 32,800 → 0.32800 → remove trailing zeros → 0.328

Answer: 0.328

---

Problem 8:

```
0.033
× 0.0500
-------
```

Step 1: Multiply:
- 33 × 500 = 16,500

Step 2: Decimal places:
- 0.033 → 3
- 0.0500 → 4
- Total = 7

Step 3: Move decimal 7 places:
- 16,500 → 0.0016500 → remove trailing zeros → 0.00165

Answer: 0.00165

---

Problem 9:

```
0.0063
× 0.0600
-------
```

Step 1: Multiply:
- 63 × 600 = 37,800

Step 2: Decimal places:
- 0.0063 → 4
- 0.0600 → 4
- Total = 8

Step 3: Move decimal 8 places:
- 37,800 → 0.00037800 → remove trailing zeros → 0.000378

Answer: 0.000378

---

✔ Final Answers:

1. 7.29
2. 0.0122
3. 8.8
4. 0.0083
5. 0.0056
6. 0.395
7. 0.328
8. 0.00165
9. 0.000378

---

🔍 Key Tips:

- Always count total decimal places in both numbers.
- Multiply as if they were whole numbers.
- Then place the decimal point so that the total number of decimal places in the product equals the sum of decimal places in the factors.
- Remove trailing zeros after the decimal unless required for precision.

Let me know if you'd like a printable version or explanation with visual steps!