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Sagot :
To determine which measurement is equivalent to 350 milliliters, we first need to convert milliliters to liters.
### Step-by-Step Solution
1. Understand the Conversion Factor:
- 1 milliliter (mL) is equal to 0.001 liters (L).
2. Convert Milliliters to Liters:
[tex]\[ \text{liters} = \text{milliliters} \times 0.001 \][/tex]
Given that we have 350 milliliters:
[tex]\[ \text{liters} = 350 \times 0.001 \][/tex]
3. Perform the Calculation:
[tex]\[ \text{liters} = 350 \times 0.001 = 0.35 \text{ liters} \][/tex]
4. Convert the Result to Scientific Notation:
To express 0.35 liters in scientific notation, we move the decimal point one place to the right:
[tex]\[ 0.35 = 3.5 \times 10^{-1} \text{ liters} \][/tex]
5. Match the Equivalent Measurement:
- A: [tex]\(3.5 \times 10^2\)[/tex] liters (incorrect)
- B: [tex]\(3.5 \times 10^1\)[/tex] liters (incorrect)
- C: [tex]\(3.5 \times 10^{-2}\)[/tex] liters (incorrect)
- D: [tex]\(3.5 \times 10^{-1}\)[/tex] liters (correct)
Therefore, the correct answer is D: [tex]\(3.5 \times 10^{-1}\)[/tex] liters.
### Step-by-Step Solution
1. Understand the Conversion Factor:
- 1 milliliter (mL) is equal to 0.001 liters (L).
2. Convert Milliliters to Liters:
[tex]\[ \text{liters} = \text{milliliters} \times 0.001 \][/tex]
Given that we have 350 milliliters:
[tex]\[ \text{liters} = 350 \times 0.001 \][/tex]
3. Perform the Calculation:
[tex]\[ \text{liters} = 350 \times 0.001 = 0.35 \text{ liters} \][/tex]
4. Convert the Result to Scientific Notation:
To express 0.35 liters in scientific notation, we move the decimal point one place to the right:
[tex]\[ 0.35 = 3.5 \times 10^{-1} \text{ liters} \][/tex]
5. Match the Equivalent Measurement:
- A: [tex]\(3.5 \times 10^2\)[/tex] liters (incorrect)
- B: [tex]\(3.5 \times 10^1\)[/tex] liters (incorrect)
- C: [tex]\(3.5 \times 10^{-2}\)[/tex] liters (incorrect)
- D: [tex]\(3.5 \times 10^{-1}\)[/tex] liters (correct)
Therefore, the correct answer is D: [tex]\(3.5 \times 10^{-1}\)[/tex] liters.
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