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The problem asks to correctly compare the values of \(9.6 \times 10^6\) and \(4.8 \times 10^4\).

Let's evaluate the numbers:

1. **\(9.6 \times 10^6\)** is equivalent to \(9.6 \times 1,000,000 = 9,600,000\).
2. **\(4.8 \times 10^4\)** is equivalent to \(4.8 \times 10,000 = 48,000\).

### Comparison:

- Divide \(9.6 \times 10^6\) by \(4.8 \times 10^4\):

\[
\frac{9.6 \times 10^6}{4.8 \times 10^4} = \frac{9.6}{4.8} \times 10^{6 - 4} = 2 \times 10^2 = 200.
\]

This means \(9.6 \times 10^6\) is **200 times** as large as \(4.8 \times 10^4\), or inversely, \(4.8 \times 10^4\) is \(\frac{1}{200}\) of \(9.6 \times 10^6\).

- Since \(4.8 \times 10^4\) is smaller by a factor of \(200\), the correct answer is indeed:
  \[
  4.8 \times 10^4 \text{ is } \frac{1}{200} \text{ times as much as } 9.6 \times 10^6.
  \]

This matches the answer you selected.

Would you like further details or have any questions?

### 5 Relative Questions:
1. How do you calculate the ratio between numbers in scientific notation?
2. What is the importance of exponent subtraction in scientific notation?
3. How does the magnitude of exponents affect the comparison of two numbers?
4. Can you demonstrate how to multiply and divide numbers in scientific notation?
5. What are the practical applications of scientific notation in comparing large numbers?

### Tip:
When dividing numbers in scientific notation, divide the coefficients and subtract the exponents.

Which statement correctly compares the values of 9.6 × 10^6 and 4.8 × 10^4?

This problem compares two numbers in scientific notation: 9.6 × 10^6 and 4.8 × 10^4. Learn how to divide these values using exponent subtraction to determine that 4.8 × 10^4 is 1/200 times as much as 9.6 × 10^6. Suitable for Grades 7-9.

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