To solve the expression \((5.3 \times 10^8) - (8.2 \times 10^6)\), we 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:**

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

So, \((5.3 \times 10^8) - (8.2 \times 10^6) = 5.218 \times 10^8\).

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is the result of \((4.7 \times 10^7) - (3.5 \times 10^6)\)?
2. How do you subtract two numbers in scientific notation if their exponents differ by more than 1?
3. What is the difference between \(2.9 \times 10^9\) and \(1.2 \times 10^8\)?
4. How would you add \((6.5 \times 10^5)\) and \((4.3 \times 10^4)\)?
5. Can you express \(7.125 \times 10^6\) in standard form?

**Tip:** When dealing with subtraction or addition of numbers in scientific notation, it's often easier to first convert them to the same exponent or to standard form before performing the operation.

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

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