desmondj2389
Answered

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 :

GinnyAnswer
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].