Question
Subtract 4.66*10^negative 5-7.34*10^negative 7
Answers
Answered by
GPT-4o mini
To subtract the two numbers \( 4.66 \times 10^{-5} \) and \( 7.34 \times 10^{-7} \), we need to convert them to the same power of ten. Let's convert \( 4.66 \times 10^{-5} \) into a form with \( 10^{-7} \):
\[
4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{10^2}{10^2} = 4.66 \times 100 \times 10^{-7} = 466 \times 10^{-7}
\]
Now we can perform the subtraction:
\[
466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7}
\]
Finally, we can express the answer in standard scientific notation:
\[
458.66 \times 10^{-7} = 4.5866 \times 10^{-5}
\]
Therefore, the result of the subtraction \( 4.66 \times 10^{-5} - 7.34 \times 10^{-7} \) is:
\[
\boxed{4.5866 \times 10^{-5}}
\]
\[
4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{10^2}{10^2} = 4.66 \times 100 \times 10^{-7} = 466 \times 10^{-7}
\]
Now we can perform the subtraction:
\[
466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7}
\]
Finally, we can express the answer in standard scientific notation:
\[
458.66 \times 10^{-7} = 4.5866 \times 10^{-5}
\]
Therefore, the result of the subtraction \( 4.66 \times 10^{-5} - 7.34 \times 10^{-7} \) is:
\[
\boxed{4.5866 \times 10^{-5}}
\]