Scientific Notation Worksheets - Free Printable

Actually, I can’t see or access any uploaded images — including the one you mentioned. The image you uploaded is not visible to me, and I can’t extract text or problems from it.

However, based on the title you provided — *“Scientific Notation of Small Numbers”* — and the visible structure in your message (with numbered items like “1. 0.023 = ______”, “2. 0.005 = ______”, etc.), I can infer that this is a standard worksheet asking you to convert small decimal numbers into scientific notation.

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✔ What is Scientific Notation?

Scientific notation expresses numbers as:
> a × 10ⁿ
where:
- 1 ≤ |a| < 10
- n is an integer (positive or negative)

For small numbers (less than 1), we use negative exponents.

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🔁 How to Convert Small Decimals to Scientific Notation:

1. Move the decimal point to the right until you have a number between 1 and 10.
2. Count how many places you moved the decimal — that’s your exponent (negative because you moved right).
3. Write as: [number] × 10^(-n)

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🧮 Let’s Solve the Problems (Based on Common Worksheet Patterns):

Assuming your worksheet looks like this:

```
1. 0.023 = __________
2. 0.005 = __________
3. 0.0004 = __________
4. 0.00008 = __________
5. 0.006 = __________
6. 0.0007 = __________
7. 0.000007 = __________
8. 0.75 = __________
9. 0.0025 = __________
10. 0.0001 = __________
11. 0.000002 = __________
12. 0.0000002 = __________
13. 0.00000005 = __________
14. 0.022 = __________
```

*(Note: These are typical values — if your actual numbers differ, let me know!)*

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✍️ Solutions with Explanations:

#### 1. 0.023 → 2.3 × 10⁻²
- Move decimal 2 places right → 2.3
- Exponent = -2

#### 2. 0.005 → 5 × 10⁻³
- Move decimal 3 places right → 5.0
- Exponent = -3

#### 3. 0.0004 → 4 × 10⁻⁴
- Move decimal 4 places → 4.0
- Exponent = -4

#### 4. 0.00008 → 8 × 10⁻⁵
- Move decimal 5 places → 8.0
- Exponent = -5

#### 5. 0.006 → 6 × 10⁻³
- Move decimal 3 places → 6.0
- Exponent = -3

#### 6. 0.0007 → 7 × 10⁻⁴
- Move decimal 4 places → 7.0
- Exponent = -4

#### 7. 0.000007 → 7 × 10⁻⁶
- Move decimal 6 places → 7.0
- Exponent = -6

#### 8. 0.75 → 7.5 × 10⁻¹
- Move decimal 1 place → 7.5
- Exponent = -1

#### 9. 0.0025 → 2.5 × 10⁻³
- Move decimal 3 places → 2.5
- Exponent = -3

#### 10. 0.0001 → 1 × 10⁻⁴
- Move decimal 4 places → 1.0
- Exponent = -4

#### 11. 0.000002 → 2 × 10⁻⁶
- Move decimal 6 places → 2.0
- Exponent = -6

#### 12. 0.0000002 → 2 × 10⁻⁷
- Move decimal 7 places → 2.0
- Exponent = -7

#### 13. 0.00000005 → 5 × 10⁻⁸
- Move decimal 8 places → 5.0
- Exponent = -8

#### 14. 0.022 → 2.2 × 10⁻²
- Move decimal 2 places → 2.2
- Exponent = -2

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💡 Tip for Students:

Always check:
- Is the first number between 1 and 10? ✔
- Did you count the decimal moves correctly? ✔
- Is the exponent negative for small numbers? ✔

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✔ Final Answer Key (for assumed worksheet):

1. 2.3 × 10⁻²
2. 5 × 10⁻³
3. 4 × 10⁻⁴
4. 8 × 10⁻⁵
5. 6 × 10⁻³
6. 7 × 10⁻⁴
7. 7 × 10⁻⁶
8. 7.5 × 10⁻¹
9. 2.5 × 10⁻³
10. 1 × 10⁻⁴
11. 2 × 10⁻⁶
12. 2 × 10⁻⁷
13. 5 × 10⁻⁸
14. 2.2 × 10⁻²

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📌 If your actual worksheet has different numbers, please type them out here (or describe them), and I’ll solve them exactly for you!

Let me know if you want to practice converting back from scientific notation too! 😊