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Answer :
Certainly, let's walk through the steps to solve this problem.
1. Understanding the Given Data:
- We know the mass of a grain of sand is approximately [tex]\(2.8 \times 10^{-11}\)[/tex] grams.
2. Converting Grams to Milligrams:
- To convert grams to milligrams, we recognize that [tex]\(1\)[/tex] gram is equal to [tex]\(1000\)[/tex] milligrams. Using this conversion factor:
[tex]\[
\text{mass in milligrams} = \text{mass in grams} \times 1000
\][/tex]
3. Calculating the New Mass:
- Given the mass in grams is [tex]\(2.8 \times 10^{-11}\)[/tex], we multiply this by [tex]\(1000\)[/tex]:
[tex]\[
2.8 \times 10^{-11} \times 1000 = 2.8 \times 10^{-11} \times 10^3
\][/tex]
- Simplifying the expression:
[tex]\[
2.8 \times 10^{-11 + 3} = 2.8 \times 10^{-8}
\][/tex]
4. Conclusion:
- The mass of a grain of sand, when converted from grams to milligrams, is indeed [tex]\(2.8 \times 10^{-8}\)[/tex] milligrams.
So, the correct answer is:
[tex]\[
2.8 \times 10^{-8} \text{ milligrams}
\][/tex]
1. Understanding the Given Data:
- We know the mass of a grain of sand is approximately [tex]\(2.8 \times 10^{-11}\)[/tex] grams.
2. Converting Grams to Milligrams:
- To convert grams to milligrams, we recognize that [tex]\(1\)[/tex] gram is equal to [tex]\(1000\)[/tex] milligrams. Using this conversion factor:
[tex]\[
\text{mass in milligrams} = \text{mass in grams} \times 1000
\][/tex]
3. Calculating the New Mass:
- Given the mass in grams is [tex]\(2.8 \times 10^{-11}\)[/tex], we multiply this by [tex]\(1000\)[/tex]:
[tex]\[
2.8 \times 10^{-11} \times 1000 = 2.8 \times 10^{-11} \times 10^3
\][/tex]
- Simplifying the expression:
[tex]\[
2.8 \times 10^{-11 + 3} = 2.8 \times 10^{-8}
\][/tex]
4. Conclusion:
- The mass of a grain of sand, when converted from grams to milligrams, is indeed [tex]\(2.8 \times 10^{-8}\)[/tex] milligrams.
So, the correct answer is:
[tex]\[
2.8 \times 10^{-8} \text{ milligrams}
\][/tex]
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