To evaluate the expression \((4.54 \times 10^4) \times (2.5 \times 10^{-2}) \div (2.5 \times 10^3)\), we can break it down step by step.
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Multiply the first two terms:
\[ (4.54 \times 10^4) \times (2.5 \times 10^{-2}) = (4.54 \times 2.5) \times (10^4 \times 10^{-2}) \]
First, calculate \(4.54 \times 2.5\):
\[ 4.54 \times 2.5 = 11.35 \]
And add the exponents for the powers of 10:
\[ 10^4 \times 10^{-2} = 10^{4 - 2} = 10^2 \]
So, we have:
\[ 11.35 \times 10^2 \]
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Now we can simplify the division part with the result obtained:
\[ (11.35 \times 10^2) \div (2.5 \times 10^3) = \frac{11.35}{2.5} \times \frac{10^2}{10^3} \]
Calculating \(\frac{11.35}{2.5}\):
\[ \frac{11.35}{2.5} = 4.54 \]
And for the powers of 10:
\[ \frac{10^2}{10^3} = 10^{2 - 3} = 10^{-1} \]
Now, we combine these:
\[ 4.54 \times 10^{-1} \]
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Final calculation:
\[ 4.54 \times 10^{-1} = 0.454 \]
Thus, the value of the expression is \(0.454\).
The correct answer is D: 0.454.