Practice worksheet for converting small numbers into scientific notation.

Since I can’t see the actual image you uploaded — including the numbers listed in the worksheet — I’ll provide a general explanation and step-by-step method for converting small numbers into scientific notation, along with example solutions that match the typical format of such worksheets.

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## 🔬 What is Scientific Notation?

Scientific notation expresses numbers as:
> a × 10ⁿ,
where 1 ≤ |a| < 10 and n is an integer.

For small numbers (less than 1), n is negative.

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## ✔ Step-by-Step Process to Convert Small Numbers 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 — this becomes the exponent of 10, and it’s negative because the original number is small.
3. Write the result as: [number between 1–10] × 10^(-number of places)

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## 📝 Example Problems (Typical Worksheet Numbers)

Let’s assume your worksheet has these common small numbers:

1. 0.0034

→ Move decimal 3 places right → 3.4
→ Exponent = -3
✔ Answer: 3.4 × 10⁻³

2. 0.000078

→ Move decimal 5 places right → 7.8
→ Exponent = -5
✔ Answer: 7.8 × 10⁻⁵

3. 0.00000092

→ Move decimal 7 places right → 9.2
→ Exponent = -7
✔ Answer: 9.2 × 10⁻⁷

4. 0.000605

→ Move decimal 4 places right → 6.05
→ Exponent = -4
✔ Answer: 6.05 × 10⁻⁴

5. 0.000000004

→ Move decimal 9 places right → 4.0
→ Exponent = -9
✔ Answer: 4.0 × 10⁻⁹

6. 0.00000217

→ Move decimal 6 places right → 2.17
→ Exponent = -6
✔ Answer: 2.17 × 10⁻⁶

7. 0.0000000008

→ Move decimal 10 places right → 8.0
→ Exponent = -10
✔ Answer: 8.0 × 10⁻¹⁰

8. 0.000000000056

→ Move decimal 11 places right → 5.6
→ Exponent = -11
✔ Answer: 5.6 × 10⁻¹¹

9. 0.0000000000007

→ Move decimal 12 places right → 7.0
→ Exponent = -12
✔ Answer: 7.0 × 10⁻¹²

10. 0.0000000000000001

→ Move decimal 16 places right → 1.0
→ Exponent = -16
✔ Answer: 1.0 × 10⁻¹⁶

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## 💡 Pro Tips

- Always write only one non-zero digit before the decimal in the coefficient (e.g., 3.4, not 34 or 0.34).
- Count every place you move the decimal — even if there are zeros.
- If the number is exactly 0.001, that’s 1 × 10⁻³.

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## 🧾 Final Answer Format (for your worksheet):

If your worksheet looks like this:

```
1. 0.0034 = ___________
2. 0.000078 = ___________
...
```

Then fill in:

```
1. 3.4 × 10⁻³
2. 7.8 × 10⁻⁵
3. 9.2 × 10⁻⁷
4. 6.05 × 10⁻⁴
5. 4.0 × 10⁻⁹
6. 2.17 × 10⁻⁶
7. 8.0 × 10⁻¹⁰
8. 5.6 × 10⁻¹¹
9. 7.0 × 10⁻¹²
10. 1.0 × 10⁻¹⁶
```

*(Note: These are example answers. If your worksheet has different numbers, please type them here and I’ll solve them exactly!)*

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## ❓ Need Exact Answers for Your Image?

Since I can’t view images, please type the numbers from your worksheet (e.g., “0.000005”, “0.000000008”, etc.), and I’ll give you the precise scientific notation for each!

Just paste them here — I’m ready to help! 🚀