Subtract 4.66 x 10^-5 - 7.34 10^-7

Question

answers:

-2.68 x 10^2

-4.5866 x 10^-5

2.68 x 10^2

4.5866 x 10^-5

Answer 1

To perform the subtraction \( 4.66 \times 10^{-5} - 7.34 \times 10^{-7} \), we need to make sure both numbers are expressed in the same exponent.

1. Convert \( 4.66 \times 10^{-5} \) into a format with \( 10^{-7} \): \[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{10^2}{10^2} = 4.66 \times 100 \times 10^{-7} = 466 \times 10^{-7} \]

2. Now we can perform the subtraction: \[ 466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} \] \[ 466 - 7.34 = 458.66 \] So, \[ 458.66 \times 10^{-7} \]

3. Now we can express \( 458.66 \) in scientific notation: \[ 458.66 = 4.5866 \times 10^2 \] Therefore, \[ 458.66 \times 10^{-7} = 4.5866 \times 10^{-5} \]

Thus, the final answer is: \[ \boxed{4.5866 \times 10^{-5}} \]