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

Responses

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

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

2.68×102
2.68 times 10 squared

−2.68×102
negative 2.68 times 10 squared

1 answer

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

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

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

The second number \(7.34 \times 10^{-7}\) can also be expressed with an exponent of \(-5\):

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

Now we can rewrite the original problem as:

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

Performing the subtraction:

\[ 4.66 - 0.0734 = 4.5866 \]

Then we express this back in scientific notation:

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

Thus, the answer to \(4.66 \times 10^{-5} - 7.34 \times 10^{-7}\) is:

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