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

Simplify:
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: Place decimal:
- 8,300 → move 6 places left → 0.008300

Remove trailing zeros:
Answer: 0.0083

---

Problem 5:

```
0.0080
× 0.700
-------
```

Step 1: Multiply:
- 80 × 700 = 56,000

Step 2: Decimal places:
- 0.0080 → 4 (even though it ends with zero)
- 0.700 → 3
- Total = 7

Step 3: Place decimal:
- 56,000 → move 7 places left → 0.0056000

Remove trailing zeros:
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: Place decimal:
- 39,500 → move 5 places left → 0.39500

Remove trailing zeros:
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: Place decimal:
- 32,800 → move 5 places left → 0.32800

Remove trailing zeros:
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: Place decimal:
- 16,500 → move 7 places left → 0.0016500

Remove trailing zeros:
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: Place decimal:
- 37,800 → move 8 places left → 0.00037800

Remove trailing zeros:
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

---

🔍 Tips for Solving:

- Always ignore decimals first, multiply as if they were whole numbers.
- Then count total decimal places in both numbers.
- Place the decimal in the product so that it has the same number of decimal places.
- Remove trailing zeros only if they are not significant (e.g., after the last non-zero digit).

Let me know if you'd like this formatted as a printable answer sheet!