Question

convert the following measurement.
$6.4\times10^{2}\frac{g}{molcdot l}=square\frac{kg}{molcdot dl}$

Explanation:

Step1: Convert grams to kilograms

We know that $1\ kg = 1000\ g$, so to convert from $\frac{g}{mol\cdot L}$ to $\frac{kg}{mol\cdot L}$, we divide by 1000.
$6.4\times 10^{2}\frac{g}{mol\cdot L}=\frac{6.4\times 10^{2}}{1000}\frac{kg}{mol\cdot L}= 0.64\frac{kg}{mol\cdot L}$

Step2: Convert liters to deciliters

We know that $1\ L=10\ dL$. To convert from $\frac{kg}{mol\cdot L}$ to $\frac{kg}{mol\cdot dL}$, we multiply by 10.
$0.64\frac{kg}{mol\cdot L}=0.64\times10\frac{kg}{mol\cdot dL} = 6.4\frac{kg}{mol\cdot dL}$

Answer:

$6.4$