To subtract the numbers \( (5.3 \times 10^8) - (8.2 \times 10^6) \), we can follow these steps:

### Step 1: Convert to the same power of 10
Let's express both numbers with the same power of 10 for easier subtraction. We can rewrite \( 8.2 \times 10^6 \) as \( 0.082 \times 10^8 \).

So the subtraction becomes:
\[
(5.3 \times 10^8) - (0.082 \times 10^8)
\]

### Step 2: Subtract the coefficients
Now, subtract the coefficients:
\[
5.3 - 0.082 = 5.218
\]

### Step 3: Combine the result with the power of 10
Thus, the result is:
\[
5.218 \times 10^8
\]

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 five related questions:
1. How do you add numbers in scientific notation?
2. What are the rules for multiplying and dividing in scientific notation?
3. How do you convert a number from standard form to scientific notation?
4. What is the difference between significant figures and scientific notation?
5. Can you explain how to perform operations with very small numbers in scientific notation?

**Tip:** When working with scientific notation, always ensure the exponents are the same before performing addition or subtraction.

Learn how to subtract numbers in scientific notation (5.3 x 10^8) - (8.2 x 10^6) step-by-step. Understand the process of converting to the same power of 10, subtracting coefficients, and combining the result with the power of 10. Suitable for Grades 7-9.

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