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Convert the given unit of weight to the unit indicated.

[tex]\[
\begin{array}{l}
0.039 \, \text{mg to g} \\
0.039 \, \text{mg} = \square \, \text{g}
\end{array}
\][/tex]


Sagot :

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].