Scientific Notation conversion worksheet with 20 problems to practice converting ordinary numbers into scientific notation.

Sure! Let’s solve the problem step by step.

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📌 What is Scientific Notation?

Scientific notation expresses a number as:

> a × 10ⁿ

Where:
- 1 ≤ |a| < 10 (a is a decimal number with one non-zero digit before the decimal point)
- n is an integer (positive or negative), representing how many places you moved the decimal.

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✔ Rules to Convert:

1. Move the decimal point in the original number so that only one non-zero digit is to the left of the decimal.
2. Count how many places you moved the decimal — this becomes the exponent n.
- If you moved the decimal left → exponent is positive.
- If you moved the decimal right → exponent is negative.

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Let’s convert each number:

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## 🔢 LEFT COLUMN:

1. 3,900

→ Move decimal 3 places left: 3.900 → 3.9 × 10³

2. 0.0094

→ Move decimal 3 places right: 9.4 → 9.4 × 10⁻³

3. 0.00945

→ Move decimal 3 places right: 9.45 → 9.45 × 10⁻³

4. 9,400

→ Move decimal 3 places left: 9.4 → 9.4 × 10³

5. 1,060,000

→ Move decimal 6 places left: 1.06 → 1.06 × 10⁶

6. 5,729

→ Move decimal 3 places left: 5.729 → 5.729 × 10³

7. 74,920

→ Move decimal 4 places left: 7.492 → 7.492 × 10⁴

8. 0.0008

→ Move decimal 4 places right: 8.0 → 8.0 × 10⁻⁴

9. 0.00064

→ Move decimal 4 places right: 6.4 → 6.4 × 10⁻⁴

10. 0.000000026

→ Move decimal 8 places right: 2.6 → 2.6 × 10⁻⁸

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## 🔢 RIGHT COLUMN:

1. 0.00000038

→ Move decimal 7 places right: 3.8 → 3.8 × 10⁻⁷

2. 0.0000032

→ Move decimal 6 places right: 3.2 → 3.2 × 10⁻⁶

3. 61,490,000

→ Move decimal 7 places left: 6.149 → 6.149 × 10⁷

4. 181,000,000

→ Move decimal 8 places left: 1.81 → 1.81 × 10⁸

5. 5,800,000

→ Move decimal 6 places left: 5.8 → 5.8 × 10⁶

6. 7,907,000

→ Move decimal 6 places left: 7.907 → 7.907 × 10⁶

7. 63,000

→ Move decimal 4 places left: 6.3 → 6.3 × 10⁴

8. 0.0000028

→ Move decimal 6 places right: 2.8 → 2.8 × 10⁻⁶

9. 317,300,000

→ Move decimal 8 places left: 3.173 → 3.173 × 10⁸

10. 0.000054

→ Move decimal 5 places right: 5.4 → 5.4 × 10⁻⁵

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## ✔ Final Answers:

Left Column:

```
3,900 = 3.9 × 10³
0.0094 = 9.4 × 10⁻³
0.00945 = 9.45 × 10⁻³
9,400 = 9.4 × 10³
1,060,000 = 1.06 × 10⁶
5,729 = 5.729 × 10³
74,920 = 7.492 × 10⁴
0.0008 = 8.0 × 10⁻⁴
0.00064 = 6.4 × 10⁻⁴
0.000000026 = 2.6 × 10⁻⁸
```

Right Column:

```
0.00000038 = 3.8 × 10⁻⁷
0.0000032 = 3.2 × 10⁻⁶
61,490,000 = 6.149 × 10⁷
181,000,000 = 1.81 × 10⁸
5,800,000 = 5.8 × 10⁶
7,907,000 = 7.907 × 10⁶
63,000 = 6.3 × 10⁴
0.0000028 = 2.8 × 10⁻⁶
317,300,000 = 3.173 × 10⁸
0.000054 = 5.4 × 10⁻⁵
```

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✔ All numbers are now correctly converted to scientific notation!

Let me know if you’d like a printable version or further explanation on any step.