# How do you find the product of 2400000*0.006 and write the answer in scientific notation?

May 14, 2018

$1.44 \cdot {10}^{4}$

#### Explanation:

$2 , 400 , 000 \cdot 0.006$

first, write them as a scientific numbers

$\left(2.4 \cdot {10}^{6}\right) \cdot \left(6.0 \cdot {10}^{-} 3\right)$

then multiply power one terms together and 10 to power something to gether

$\left(2.4 \cdot 6\right) \cdot \left({10}^{6} \cdot {10}^{-} 3\right)$

when you multiply same number to different powers you add the powers together so

$\left(2.4 \cdot 6\right) \cdot \left({10}^{6 + \left(- 3\right)}\right)$

$14.4 \cdot {10}^{3}$

note that scientific numbers are between 1 to 9
so 14 is not included so

move the point to the left, when you move it to the left one step you multiply by 10 so

$\textcolor{red}{{10}^{3} \cdot 10 = {10}^{4}}$

$1.44 \cdot {10}^{4}$