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

2.68×102
2.68 times 10 squared

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

−2.68×1^2

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 exponent.

The number \( 4.66 \times 10^{-5} \) can be rewritten with an exponent of \( 10^{-7} \): \[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 466 \times 10^{-7} \]

Now we can perform the subtraction: \[ 466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7} \]

Changing the expression back to a coefficient of the standard form: \[ 458.66 \times 10^{-7} = 4.5866 \times 10^{-5} \]

So, the result is: \[ \boxed{4.5866 \times 10^{-5}} \]