Answered

Use the following chart to do the conversion of 0.013 grams.

[tex]\[
0.013 \text{ grams} = \text{ grain} \quad \square
\][/tex]

[tex]\[
0.013 \text{ grams} = \text{ milligrams} \quad \square
\][/tex]

\begin{tabular}{|l|l|}
\hline
\multicolumn{2}{|c|}{Approximate Equivalents} \\
\hline
1 teaspoon [tex]$= 5$[/tex] milliliters & 1 kilogram [tex]$= 2.2$[/tex] pounds \\
grain [tex]$i = 60$[/tex] milligrams & 1 teaspoon [tex]$= 60$[/tex] drops \\
grain [tex]$i = 1$[/tex] drop & 1 quart [tex]$= 1$[/tex] liter \\
fluid ounce [tex]$1 = 6$[/tex] teaspoons & 1 pint [tex]$= 2$[/tex] cups \\
fluid ounce [tex]$1 = 2$[/tex] tablespoons & 1 quart [tex]$= 32$[/tex] fluid ounces \\
fluid ounce [tex]$1 = 30$[/tex] milliliters & 1 gram [tex]$= 15$[/tex] grains \\
1 inch [tex]$= 2.54$[/tex] centimeters & 1 cup [tex]$= 240$[/tex] milliliters \\
\hline
\end{tabular}

The answer is grain [tex]$\square$[/tex] .
(Type an integer or a simplified fraction.)

The answer is [tex]$\square$[/tex] milligrams.
(Type an integer or decimal rounded to the nearest tenth as needed.)



Answer :

To solve the problem of converting 0.013 grams to grains and milligrams using the provided conversion chart, let's follow these steps:

### Step 1: Convert Grams to Grains
- According to the chart, [tex]\(1 \text{ gram} = 15 \text{ grains}\)[/tex].
- To convert grams to grains, multiply the number of grams by 15.

[tex]\[ 0.013 \text{ grams} \times 15 \text{ grains/gram} = 0.195 \text{ grains} \][/tex]

### Step 2: Convert Grams to Milligrams
- According to the chart, [tex]\(1 \text{ grain} = 60 \text{ milligrams}\)[/tex]. However, we need to convert directly from grams to milligrams.
- We know that [tex]\(1 \text{ gram} = 1000 \text{ milligrams}\)[/tex].

[tex]\[ 0.013 \text{ grams} \times 1000 \text{ milligrams/gram} = 13.0 \text{ milligrams} \][/tex]

### Final Results
- [tex]\(0.013 \text{ grams} = 0.195 \text{ grains} \)[/tex]
- [tex]\(0.013 \text{ grams} = 13.0 \text{ milligrams} \)[/tex]

Therefore:
- The answer for the conversion to grains is [tex]\(\boxed{0.195} \text{ grains}\)[/tex].
- The answer for the conversion to milligrams is [tex]\(\boxed{13.0} \text{ milligrams}\)[/tex].