Subtract (5.3 x 108) − (8.2 x 106).

 2.9 x 102 5.218 x 102 2.9 x 108 5.218 x 108

To solve the expression \((5.3 \times 10^8) - (8.2 \times 10^6)\) and match it with the options provided, we can follow these steps:

1. **Express each number in standard form:**

   - \(5.3 \times 10^8 = 530,000,000\)
   - \(8.2 \times 10^6 = 8,200,000\)

2. **Subtract the smaller number from the larger number:**

   \[
   530,000,000 - 8,200,000 = 521,800,000
   \]

3. **Express the result in scientific notation:**

   \[
   521,800,000 = 5.218 \times 10^8
   \]

Now, let's match this with the provided options:

- **\(2.9 \times 10^2\)**: This is incorrect because the exponent and the value don't match.
- **\(5.218 \times 10^2\)**: This is incorrect because the exponent is too small.
- **\(2.9 \times 10^8\)**: This is incorrect because the coefficient is incorrect.
- **\(5.218 \times 10^8\)**: This is correct.

So, the correct answer is **\(5.218 \times 10^8\)**.

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is the result of \((7.4 \times 10^7) - (3.2 \times 10^6)\)?
2. How do you convert a standard number to scientific notation?
3. What is the result of \((6.1 \times 10^8) + (9.3 \times 10^7)\)?
4. How would you subtract \((2.5 \times 10^5)\) from \((1.3 \times 10^6)\)?
5. Can you explain why \((4.9 \times 10^3) - (2.1 \times 10^2)\) requires converting the exponent?

**Tip:** Always check the exponents when dealing with scientific notation to ensure the operations are performed correctly.

Learn how to subtract numbers in scientific notation: (5.3 × 10^8) - (8.2 × 10^6). Follow a step-by-step solution with detailed explanations on converting numbers to standard form, performing subtraction, and converting the result back to scientific notation. Suitable for high school students.

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