Math Worksheet Collection: Scientific Notation | Media4Math - Free Printable

Let's solve each number by converting it into scientific notation.

🔹 Scientific Notation Rules:

A number in scientific notation is written as:
a × 10ⁿ, where:
- 1 ≤ |a| < 10 (a is a number between 1 and 10, not including 10),
- n is an integer (positive or negative).

To convert:
- For small numbers (less than 1): move the decimal point to the right until you get a number between 1 and 10. The exponent will be negative.
- For large numbers (greater than 1): move the decimal point to the left until you get a number between 1 and 10. The exponent will be positive.

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✔ Let’s convert each number:

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1. 0.000000682

Move the decimal point 7 places to the right to get 6.82
So:
→ 6.82 × 10⁻⁷

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2. 0.00000843

Move decimal 6 places to the right → 8.43
→ 8.43 × 10⁻⁶

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3. 210

Move decimal 2 places to the left → 2.1
→ 2.1 × 10²

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4. 2487000

Move decimal 6 places to the left → 2.487
→ 2.487 × 10⁶

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5. 1573000

Move decimal 6 places to the left → 1.573
→ 1.573 × 10⁶

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6. 7622000

Move decimal 6 places to the left → 7.622
→ 7.622 × 10⁶

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7. 0.0000645

Move decimal 5 places to the right → 6.45
→ 6.45 × 10⁻⁵

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8. 0.006

Move decimal 3 places to the right → 6.0
→ 6.0 × 10⁻³

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9. 0.0075

Move decimal 3 places to the right → 7.5
→ 7.5 × 10⁻³

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10. 2866.3

Move decimal 3 places to the left → 2.8663
→ 2.8663 × 10³

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✔ Final Answers:

```
0.000000682 = 6.82 × 10⁻⁷
0.00000843 = 8.43 × 10⁻⁶
210 = 2.1 × 10²
2487000 = 2.487 × 10⁶
1573000 = 1.573 × 10⁶
7622000 = 7.622 × 10⁶
0.0000645 = 6.45 × 10⁻⁵
0.006 = 6.0 × 10⁻³
0.0075 = 7.5 × 10⁻³
2866.3 = 2.8663 × 10³
```

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