Let's solve each of the number patterns using the given rules. We'll go step by step.
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1. Rule: × 2
Sequence: 5, 10, 20, __, __, __
- 5 × 2 = 10
- 10 × 2 = 20
- 20 × 2 =
40
- 40 × 2 =
80
- 80 × 2 =
160
✔ Answer: 40, 80, 160
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2. Rule: × 10
Sequence: 4, 40, 400, __, __
- 4 × 10 = 40
- 40 × 10 = 400
- 400 × 10 =
4,000
- 4,000 × 10 =
40,000
✔ Answer: 4,000, 40,000
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3. Rule: × 2 + 1
Sequence: 1, 3, 7, __, __, __
- Start with 1:
- 1 × 2 + 1 = 2 + 1 =
3
- 3 × 2 + 1 = 6 + 1 =
7
- 7 × 2 + 1 = 14 + 1 =
15
- 15 × 2 + 1 = 30 + 1 =
31
- 31 × 2 + 1 = 62 + 1 =
63
✔ Answer: 15, 31, 63
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4. Rule: × 3
Sequence: 3, 9, 27, __, __
- 3 × 3 = 9
- 9 × 3 = 27
- 27 × 3 =
81
- 81 × 3 =
243
✔ Answer: 81, 243
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5. Rule: ÷ 2
Sequence: 96, 48, 24, __, __, __
- 96 ÷ 2 = 48
- 48 ÷ 2 = 24
- 24 ÷ 2 =
12
- 12 ÷ 2 =
6
- 6 ÷ 2 =
3
✔ Answer: 12, 6, 3
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6. Rule: ÷ 10
Sequence: 20,000, 2,000, 200, __, __
- 20,000 ÷ 10 = 2,000
- 2,000 ÷ 10 = 200
- 200 ÷ 10 =
20
- 20 ÷ 10 =
2
✔ Answer: 20, 2
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7. Rule: ÷ 2
Sequence: 112, 56, 28, __, __
- 112 ÷ 2 = 56
- 56 ÷ 2 = 28
- 28 ÷ 2 =
14
- 14 ÷ 2 =
7
✔ Answer: 14, 7
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8. Challenge – Rule: ÷ 10
Sequence: 48,000, 4,800, 480, __, __
- 48,000 ÷ 10 = 4,800
- 4,800 ÷ 10 = 480
- 480 ÷ 10 =
48
- 48 ÷ 10 =
4.8
⚠️ Note: The result is a decimal now (4.8), but it’s valid since we're dividing by 10.
✔ Answer: 48, 4.8
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✔ Final Answers:
| Problem | Completed Sequence |
|--------|---------------------|
| 1 | 5, 10, 20,
40,
80,
160 |
| 2 | 4, 40, 400,
4,000,
40,000 |
| 3 | 1, 3, 7,
15,
31,
63 |
| 4 | 3, 9, 27,
81,
243 |
| 5 | 96, 48, 24,
12,
6,
3 |
| 6 | 20,000, 2,000, 200,
20,
2 |
| 7 | 112, 56, 28,
14,
7 |
| 8 (Challenge) | 48,000, 4,800, 480,
48,
4.8 |
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Let me know if you'd like this in a printable format or need help explaining any pattern!
Parent Tip: Review the logic above to help your child master the concept of division patterns 3rd grade.
