Subtract 4.66×10^−5−7.34×10^−7

Question

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

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

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

−2.68×10^2
−
2.68
×
10
2
negative 2.68 times 10 squared

2.68×10^2

Answer 1

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

The term \( 4.66 \times 10^{-5} \) can remain as is, while \( 7.34 \times 10^{-7} \) can be converted to an equivalent term with a power of \( 10^{-5} \):

\[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

Now, we can rewrite the subtraction:

\[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} \]

Now perform the subtraction:

\[ 4.66 - 0.0734 = 4.5866 \]

Thus, we have:

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

Since we are subtracting a smaller number from a larger number, the result will not be negative. Therefore, the correct answer is:

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

The closest matching response from the options provided is:

4.5866×10^−5