Question

The density of a substance is 570 mg/mL. What is its density in kg/L?

Answer 1

Hint :

\(1 mg = 10^{-3}g\)

\(1mL = 10^{-3}L\)

Answer 2

it might be easier to use

1000 mg = 1 g
1000 mL = 1 L

that's just my opinion though

Answer 3

Hmmm, I got .000570 kg/L
Is that correct?

Answer 4

This is one way to set up
\[\Large \frac{570 \text{ mg}}{1 \text{ mL}}
\times
\frac{1000 \text{ mL}}{1 \text{ L}}
\times
\frac{1 \text{ g}}{1000 \text{ mg}}
\]

Answer 5

oh wait, you want kg not g, let me fix

Answer 6

1000 mg = 1 g
1000 mL = 1 L
1000 g = 1 kg

\[\Large \frac{570 \text{ mg}}{1 \text{ mL}}
\times
\frac{1000 \text{ mL}}{1 \text{ L}}
\times
\frac{1 \text{ g}}{1000 \text{ mg}}
\times
\frac{1 \text{ kg}}{1000 \text{ g}}
\]

Answer 7

0.000570 kg/L is not correct

Answer 8

I think I figured this out! Thank you jim, very helpful :)

Answer 9

glad it's making sense now