https://file.aiquickdraw.com/mathbot/file/1728316894322u9qfgm2p.jpg

The expression provided in the image is:

\[
\frac{4.54 \times 10^4}{2.5 \times 10^3} \times (2.5 \times 10^{-2})
\]

Let's solve it step-by-step:

### Step 1: Simplify the fraction
\[
\frac{4.54 \times 10^4}{2.5 \times 10^3} = \frac{4.54}{2.5} \times 10^{4-3}
\]
\[
= 1.816 \times 10^1
\]
\[
= 18.16
\]

### Step 2: Multiply by the remaining term
\[
18.16 \times (2.5 \times 10^{-2}) = 18.16 \times 0.025
\]
\[
= 0.454
\]

So, the value of the expression is:
\[
0.454
\]

### Final Answer
The correct answer is **D) 0.454**.

Would you like more details or have any questions about this solution?

Here are five related questions for further exploration:
1. What are the properties of exponents that help simplify expressions like this one?
2. How do you multiply and divide numbers in scientific notation?
3. What are common errors to avoid when working with scientific notation?
4. Can you solve similar problems where exponents are negative or fractional?
5. How does scientific notation help in representing very large or very small numbers?

**Tip:** When dealing with scientific notation, always handle the numerical part and the power of ten separately to simplify the calculations.

What is the value of the expression (4.54 × 10^4) / (2.5 × 10^3) × (2.5 × 10^-2)?

Learn how to evaluate the expression (4.54 × 10^4) / (2.5 × 10^3) × (2.5 × 10^-2) step-by-step using the laws of exponents and scientific notation. This problem involves dividing and multiplying numbers with powers of ten, suitable for students in Grades 8-10.

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