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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]
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].
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