Subtract 4.66×10−5−7.34×10−7 (1 point)

Question

Responses

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

−2.68×102
negative 2.68 times 10 squared

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

2.68×102

Answer 1

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

Convert \(4.66 \times 10^{-5}\) to have the same exponent as \(7.34 \times 10^{-7}\):

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times \frac{10^2}{10^2} = 4.66 \times 10^{-3} = 466 \times 10^{-5} \]

Now we have:

\[ 466 \times 10^{-7} - 7.34 \times 10^{-7} \]

Now, perform the subtraction:

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

Now, we can express this in proper scientific notation:

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

So, the result of the subtraction is:

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