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Sagot :
To determine the equivalent measurement of 350 milliliters in liters, we need to follow these steps:
1. Understand the conversion factor:
- There are 1,000 milliliters in 1 liter.
- Therefore, 1 milliliter is equal to [tex]\(0.001\)[/tex] liters.
2. Convert milliliters to liters:
- Given that we have 350 milliliters, we can multiply this amount by the conversion factor.
- Thus, [tex]\( 350 \text{ milliliters} \times 0.001 \text{ liters/milliliter} = 0.350 \text{ liters} \)[/tex].
3. Express the result in scientific notation:
- The result [tex]\( 0.350 \)[/tex] liters can be written in scientific notation.
- We can rewrite [tex]\( 0.350 \)[/tex] liters as [tex]\( 3.5 \times 10^{-1} \)[/tex] liters.
4. Match with the given options:
- Option [tex]\( A \)[/tex] is [tex]\( 3.5 \times 10^2 \)[/tex] liters.
- Option [tex]\( B \)[/tex] is [tex]\( 3.5 \times 10^1 \)[/tex] liters.
- Option [tex]\( C \)[/tex] is [tex]\( 3.5 \times 10^{-2} \)[/tex] liters.
- Option [tex]\( D \)[/tex] is [tex]\( 3.5 \times 10^{-1} \)[/tex] liters.
After converting and matching with the given options, the correct equivalent measurement of 350 milliliters is:
[tex]\[ \boxed{D. \: 3.5 \times 10^{-1} \text{ liters}} \][/tex]
1. Understand the conversion factor:
- There are 1,000 milliliters in 1 liter.
- Therefore, 1 milliliter is equal to [tex]\(0.001\)[/tex] liters.
2. Convert milliliters to liters:
- Given that we have 350 milliliters, we can multiply this amount by the conversion factor.
- Thus, [tex]\( 350 \text{ milliliters} \times 0.001 \text{ liters/milliliter} = 0.350 \text{ liters} \)[/tex].
3. Express the result in scientific notation:
- The result [tex]\( 0.350 \)[/tex] liters can be written in scientific notation.
- We can rewrite [tex]\( 0.350 \)[/tex] liters as [tex]\( 3.5 \times 10^{-1} \)[/tex] liters.
4. Match with the given options:
- Option [tex]\( A \)[/tex] is [tex]\( 3.5 \times 10^2 \)[/tex] liters.
- Option [tex]\( B \)[/tex] is [tex]\( 3.5 \times 10^1 \)[/tex] liters.
- Option [tex]\( C \)[/tex] is [tex]\( 3.5 \times 10^{-2} \)[/tex] liters.
- Option [tex]\( D \)[/tex] is [tex]\( 3.5 \times 10^{-1} \)[/tex] liters.
After converting and matching with the given options, the correct equivalent measurement of 350 milliliters is:
[tex]\[ \boxed{D. \: 3.5 \times 10^{-1} \text{ liters}} \][/tex]
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