# How do you multiply (35,000)(.00046) and write the answer in scientific notation?

$35 , 000 = 3.5 \times {10}^{4}$ and $0.00046 = 4.6 \times {10}^{- 4}$, so
$35 , 000 \times 0.00046 = 3.5 \times {10}^{4} \times 4.6 \times {10}^{- 4}$
$= 3.5 \times 4.6 \times {10}^{4} \times {10}^{-} 4$
$= 16.1 \times {10}^{4 - 4} = 16.1 \times {10}^{0}$
Because we started with 2 significant digits, we should end with 2 significant digits, so we use $16 \times {10}^{0} = 1.6 \times {10}^{1}$