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Which measurement is equivalent to 350 milliliters?

A. [tex]3.5 \times 10^2[/tex] liters
B. [tex]3.5 \times 10^1[/tex] liters
C. [tex]3.5 \times 10^{-2}[/tex] liters
D. [tex]3.5 \times 10^{-1}[/tex] liters


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.