To perform the calculation \( 4.81 \times 10^{-3} - 0.000094 \), we first need to express \( 0.000094 \) in scientific notation.
The number \( 0.000094 \) can be written as: \[ 0.000094 = 9.4 \times 10^{-5} \]
Now, we can proceed with the subtraction. To do this, we need a common exponent in the scientific notation. We can rewrite \( 4.81 \times 10^{-3} \) in terms of \( 10^{-5} \): \[ 4.81 \times 10^{-3} = 4.81 \times 10^{-3} \times \frac{100}{100} = 481 \times 10^{-5} \]
Now, we have: \[ 4.81 \times 10^{-3} = 481 \times 10^{-5} \] \[ 0.000094 = 9.4 \times 10^{-5} \]
Next, we perform the subtraction: \[ 481 \times 10^{-5} - 9.4 \times 10^{-5} = (481 - 9.4) \times 10^{-5} = 471.6 \times 10^{-5} \]
Finally, we convert \( 471.6 \times 10^{-5} \) back to proper scientific notation. We can write \( 471.6 \) as \( 4.716 \times 10^{2} \) (since \( 471.6 = 4.716 \times 10^2 \)). Thus: \[ 471.6 \times 10^{-5} = 4.716 \times 10^{2} \times 10^{-5} = 4.716 \times 10^{-3} \]
Therefore, the final answer in scientific notation is: \[ \boxed{4.716 \times 10^{-3}} \]