To calculate \( 4.8 \times 10^{-3} - 9.4 \times 10^{-6} \), we first need to express both terms with the same power of ten.
We can convert \( 4.8 \times 10^{-3} \) to the same exponent as \( 9.4 \times 10^{-6} \):
\[ 4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{-3} \times 10^{3-3} = 4.8 \times 10^{0} \times 10^{-3} = 4.8 \times 1000 \times 10^{-6} = 4800 \times 10^{-6} \]
Now we can rewrite the expression:
\[ 4.8 \times 10^{-3} - 9.4 \times 10^{-6} = 4800 \times 10^{-6} - 9.4 \times 10^{-6} \]
Now, we can combine the two terms:
\[ (4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6} \]
Next, we express \( 4790.6 \times 10^{-6} \) in scientific notation. We need to express \( 4790.6 \) as a number between 1 and 10:
\[ 4790.6 = 4.7906 \times 10^{3} \]
Therefore,
\[ 4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3} \]
Now rounding \( 4.7906 \) to two decimal places gives us:
\[ 4.79 \times 10^{-3} \]
Thus, the final answer is:
\[ \boxed{4.79 \times 10^{-3}} \]
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