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To solve this problem, we are asked to find how much greater \(3.8 \times 10^{-5}\) is than \(2.2 \times 10^{-8}\). We can do this by subtracting the second value from the first one:

\[
\text{Difference} = 3.8 \times 10^{-5} - 2.2 \times 10^{-8}
\]

### Step-by-step solution:
1. **Rewrite both numbers so that they have the same exponent**:
    \[
    3.8 \times 10^{-5} = 3.8 \times 10^{-5}
    \]
    \[
    2.2 \times 10^{-8} = 0.0022 \times 10^{-5}
    \]
   Now both terms have the exponent \(10^{-5}\).

2. **Subtract the coefficients**:
    \[
    (3.8 - 0.0022) \times 10^{-5} = 3.7978 \times 10^{-5}
    \]

### Final answer:
\[
3.7978 \times 10^{-5}
\]

This is the scientific notation form of the answer.

Would you like further details or have any questions on this?

Here are some related questions to expand on this:

1. How do you convert numbers from scientific notation to standard notation?
2. What are the properties of exponents when subtracting or adding numbers in scientific notation?
3. How do you multiply and divide numbers in scientific notation?
4. What is the significance of precision in scientific calculations like this?
5. Can you explain why it is easier to use scientific notation for very large or small numbers?

**Tip:** When subtracting numbers in scientific notation, make sure to adjust the exponents so they are the same before performing the operation!

How much greater is 3.8 × 10^−5 than 2.2 × 10^−8? Express your answer using either standard notation or scientific notation.

Learn how to subtract two numbers in scientific notation, 3.8 × 10^−5 and 2.2 × 10^−8. This example walks you through adjusting the exponents, subtracting the coefficients, and finding the final difference in scientific notation.

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