Subtract 4.66×10^−5−7.34×10^−7

Question

(1 point)
Responses

−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline

2.68×102
2.68 times 10 squared

4.5866×10−5
4.5866 times 10 superscript negative 5 baseline

−2.68×10^2

Answer 1

To subtract \(4.66 \times 10^{-5} - 7.34 \times 10^{-7}\), we should first express both numbers with the same exponent.

Since \(4.66 \times 10^{-5}\) can be rewritten in terms of \(10^{-7}\):

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \cdot 10^{2} = 466 \times 10^{-7} \]

Now, we can perform the subtraction:

\[ 466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7} \]

Now, we convert this back to the standard scientific notation:

\[ 458.66 \times 10^{-7} = 4.5866 \times 10^{-5} \]

So, the answer is:

\[ 4.5866 \times 10^{-5} \]

Thus, the correct response is:

4.5866×10^−5 (which is also expressed as "4.5866 times 10 superscript negative 5 baseline").