You want to determine how many grams are in 43 mg.

Which choice goes in the green box to cancel out mg?

A. 1 mg

B. [tex]10^{-3} \, \text{g}[/tex]

C. [tex]10^3 \, \text{g}[/tex]



Answer :

To convert milligrams (mg) to grams (g), you need to know the relationship between the two units. Here’s the conversion factor:

1 gram (g) is equal to 1000 milligrams (mg).

So, 1 mg is equal to [tex]\( \frac{1}{1000} \)[/tex] grams, or [tex]\( 10^{-3} \)[/tex] grams.

Given:
[tex]\[ 43 \, \text{mg} \][/tex]

To convert 43 milligrams to grams:

[tex]\[ 43 \, \text{mg} \times \frac{10^{-3} \, \text{g}}{1 \, \text{mg}} \][/tex]

By doing this, the milligrams (mg) unit will cancel out, leaving you with grams (g):

[tex]\[ 43 \, \text{mg} \times 10^{-3} \, \text{g} = 43 \times 10^{-3} \, \text{g} = 0.043 \, \text{g} \][/tex]

The unit used in the green box to cancel out mg should be:
[tex]\[ \boxed{10^{-3} \, \text{g}} \][/tex]

So the correct choice is:
B. [tex]\( 10^{-3} \, \text{g} \)[/tex]