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
2.68 times 10 squared

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

−2.68×102
negative 2.68 times 10 squared

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 power of ten.

1. Convert \( 7.34 \times 10^{-7} \) into the same power of ten as \( 4.66 \times 10^{-5} \): \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \] (This is done by moving the decimal point two places to the right, which increases the exponent by 2.)

2. Now, perform the subtraction: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5} \]

Thus, the correct answer is: \[ 4.5866 \times 10^{-5} \]

So the response is: 4.5866 times 10 superscript negative 5 baseline.