To calculate \(4.8 \times 10^{-3} - 9.4 \times 10^{-6}\), we first need to express both numbers in terms of the same power of ten.
Let's convert \(9.4 \times 10^{-6}\) to the power of \(10^{-3}\):
\[ 9.4 \times 10^{-6} = 9.4 \times 10^{-6} \times \frac{1000}{1000} = 9.4 \times 10^{-3} \times 10^{-3} = 0.0094 \times 10^{-3} \]
Now we can subtract:
\[ 4.8 \times 10^{-3} - 0.0094 \times 10^{-3} = (4.8 - 0.0094) \times 10^{-3} = 4.7906 \times 10^{-3} \]
Now we need to express \(4.7906\) in scientific notation rounded to two decimal places:
\[ 4.7906 \approx 4.79 \]
So:
\[ 4.7906 \times 10^{-3} \approx 4.79 \times 10^{-3} \]
The final answer is:
\[ \boxed{4.79 \times 10^{-3}} \]