To convert the given weight from milligrams (mg) to grams (g), we need to use the conversion factor between these units. The relationship between milligrams and grams is as follows:
1 milligram (mg) = 0.001 grams (g)
Given:
0.039 mg
Step-by-step solution:
1. Identify the conversion factor between milligrams and grams:
[tex]\(1 \, \text{mg} = 0.001 \, \text{g}\)[/tex]
2. Multiply the given weight in milligrams by the conversion factor to convert it into grams:
[tex]\[
0.039 \, \text{mg} \times 0.001 \, \text{g/mg}
\][/tex]
3. Perform the multiplication:
[tex]\[
0.039 \times 0.001 = 0.000039 \, \text{g}
\][/tex]
Therefore, the weight in grams is:
[tex]\[
0.039 \, \text{mg} = 0.000039 \, \text{g}
\][/tex]
Expressing this result in scientific notation gives:
[tex]\[
0.039 \, \text{mg} = 3.9 \times 10^{-5} \, \text{g}
\][/tex]
Thus, [tex]\( 0.039 \, \text{mg} = 3.9 \times 10^{-5} \, \text{g} \)[/tex].