Subtract 4.66×10−5−7.34×10−7(1 point)

Question

Responses

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

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

2.68×102
2.68 times 10 squared

−2.68×102

Answer 1

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

The number \( 4.66 \times 10^{-5} \) can be rewritten as:

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} = 46.6 \times 10^{-6} \]

Now, we can rewrite \( 7.34 \times 10^{-7} \) as:

\[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-6} \]

Now we can perform the subtraction:

\[ 46.6 \times 10^{-6} - 0.0734 \times 10^{-6} = (46.6 - 0.0734) \times 10^{-6} = 46.5266 \times 10^{-6} \]

Finally, we convert \( 46.5266 \times 10^{-6} \) back to scientific notation:

\[ = 4.65266 \times 10^{-5} \]

Thus, the result of the subtraction is:

\[ 4.65266 \times 10^{-5} \]

If we round it to four significant figures, we get:

\[ 4.653 \times 10^{-5} \]

However, it looks like none of the provided responses match this result, so please review the options.