To determine if \(0.000090 \times 10^{-10}\) is equal to, greater than, or less than \(9.0 \times 10^{-14}\), let's first convert \(0.000090\) to scientific notation.
\[ 0.000090 = 9.0 \times 10^{-5} \]
Now we can rewrite the expression:
\[ 0.000090 \times 10^{-10} = (9.0 \times 10^{-5}) \times 10^{-10} \]
Using the properties of exponents, we combine the powers of ten:
\[ 9.0 \times 10^{-5 - 10} = 9.0 \times 10^{-15} \]
Now we compare \(9.0 \times 10^{-15}\) to \(9.0 \times 10^{-14}\).
Since:
\[ 10^{-15} < 10^{-14} \]
It follows that:
\[ 9.0 \times 10^{-15} < 9.0 \times 10^{-14} \]
Thus, the correct sign to place in the statement \(0.000090 \times 10^{-10} ? 9.0 \times 10^{-14}\) is:
\[ < \]
So the final answer is:
\[ 0.000090 \times 10^{-10} < 9.0 \times 10^{-14} \]