You want to determine how many grams are in 43 mg.
[tex]\[
\begin{tabular}{c|c}
43 \, \text{mg} & 10^{-3} \, \text{g} \\
\hline
& 1 \, \text{mg}
\end{tabular}
\][/tex]

Now divide the numerator by the denominator to find your answer.

A. 43 g
B. [tex]\( 4.3 \times 10^{-2} \, \text{mg} \)[/tex]
C. [tex]\( 4.3 \times 10^{-2} \, \text{g} \)[/tex]



Answer :

Sure, let's go through the detailed steps to convert 43 milligrams (mg) to grams (g) and determine the correct multiple choice answer.

1. Understand the relationship between milligrams and grams:
- 1 milligram (mg) is equal to [tex]\(10^{-3}\)[/tex] grams (g).

2. Set up the conversion:
- We need to convert 43 mg to grams using the relationship that 1 mg = [tex]\(10^{-3}\)[/tex] g.

3. Mathematically represent the conversion:
- We multiply the given amount in milligrams (43 mg) by the conversion factor ([tex]\(10^{-3}\)[/tex] g/mg).
- This is represented as:
[tex]\[ 43 \text{ mg} \times \left(\frac{10^{-3} \text{ g}}{1 \text{ mg}}\right) \][/tex]

4. Perform the calculation:
- [tex]\( 43 \times 10^{-3} \)[/tex]
- The result of the multiplication is:
[tex]\[ 43 \times 0.001 = 0.043 \text{ g} \][/tex]

5. Convert the result to scientific notation:
- The decimal number 0.043 can be represented in scientific notation as [tex]\( 4.3 \times 10^{-2} \text{ g} \)[/tex].

6. Determine the correct multiple choice answer:
- Based on the presented options:
- A. 43 g
- B. [tex]\( 4.3 \times 10^{-2} \text{ mg} \)[/tex]
- C. [tex]\( 4.3 \times 10^{-2} \text{ g} \)[/tex]

- The correct answer is:
[tex]\[ \boxed{4.3 \times 10^{-2} \text{ g}} \][/tex]

Therefore, the correct multiple choice answer is C. [tex]\( 4.3 \times 10^{-2} \text{ g} \)[/tex].