To solve \(4.8 \times 10^{-3} - 9.4 \times 10^{-6}\), we need to express both numbers with the same exponent.
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Convert \(4.8 \times 10^{-3}\) to have an exponent of \(-6\): \[ 4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{-3} \times 10^{3} \times 10^{-3} = 4.8 \times 10^{3} \times 10^{-6} = 4.8 \times 10^{3} \times 10^{-6} \] (Note: we don't actually need to multiply by anything here; we rewrite it in a clearer form): \[ = 4.8 \times 10^{-3} = 4800 \times 10^{-6} \]
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Now we can subtract the two quantities: \[ 4800 \times 10^{-6} - 9.4 \times 10^{-6} = (4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6} \]
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Convert \(4790.6 \times 10^{-6}\) into scientific notation: \[ 4790.6 = 4.7906 \times 10^{3} \] Thus, \[ 4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3} \]
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Round the value to two decimal places: \[ 4.79 \times 10^{-3} \]
Thus, the final answer in scientific notation, rounded to two decimal places, is:
\[ \boxed{4.79 \times 10^{-3}} \]