Subtract 4.66×10−5−7.34×10−7(1 point)

Question

Responses

2.68×102
2.68 times 10 squared

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

Answer 1

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

1. \(4.66 \times 10^{-5}\) is equivalent to \(4.66 \times 10^{-5} = 4.66 \times 10^{-5}\).
2. To express \(7.34 \times 10^{-7}\) with a base of \(10^{-5}\), we can convert it: \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

Now we can rewrite the subtraction: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} \]

Subtracting the two: \[ (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5} \]

So, the result of the subtraction \(4.66 \times 10^{-5} - 7.34 \times 10^{-7}\) is: \[ 4.5866 \times 10^{-5} \]

The correct response is: 4.5866×10−5