Find the best solutions to your problems with the help of IDNLearn.com's experts. Explore a wide array of topics and find reliable answers from our experienced community members.
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.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.