Let's determine which measurement is equivalent to 350 milliliters.
1. Start by understanding the conversion:
- 1 liter is equivalent to 1000 milliliters.
2. Convert milliliters to liters:
- To convert 350 milliliters to liters, divide the number of milliliters by 1000 because there are 1000 milliliters in a liter.
[tex]\[
\text{liters} = \frac{350 \text{ milliliters}}{1000 \text{ milliliters per liter}} = 0.35 \text{ liters}
\][/tex]
3. Express the result in scientific notation:
- The scientific notation for 0.35 liters is [tex]\(3.5 \times 10^{-1}\)[/tex] liters.
4. Compare with the given options:
- Option A: [tex]\(3.5 \times 10^2\)[/tex] liters [tex]\(= 350\)[/tex] liters (This is too large)
- Option B: [tex]\(3.5 \times 10^1\)[/tex] liters [tex]\(= 35\)[/tex] liters (This is also too large)
- Option C: [tex]\(3.5 \times 10^{-2}\)[/tex] liters [tex]\(= 0.035\)[/tex] liters (This is too small)
- Option D: [tex]\(3.5 \times 10^{-1}\)[/tex] liters [tex]\(= 0.35\)[/tex] liters (This matches our calculated value)
Therefore, the correct answer is:
D. [tex]\(3.5 \times 10^{-1}\)[/tex] liters
