Given:
\[
0.003 \times 0.0004
\]
Step 1: Convert to scientific notation:
\[
(3 \times 10^{-3}) \times (4 \times 10^{-4})
\]
Step 2: Multiply the numbers:
\[
(3 \times 4) \times (10^{-3} \times 10^{-4})
\]
\[
12 \times 10^{-7}
\]
Step 3: Convert back to decimal form:
\[
0.0000012
\]
Thus, the correct answer is 0.0000012.