Answer :
To convert the volume of a solution from fluid ounces to milliliters, you can use the conversion factor: [tex]\(1 \text{ fl. oz.} = 29.6 \text{ mL}\)[/tex].
Here's how you can perform the conversion step-by-step:
1. Identify the given value in fluid ounces:
Rebekah has [tex]\(1.32\)[/tex] fluid ounces of sugar solution.
2. Use the conversion factor:
Since [tex]\(1 \text{ fl. oz.} = 29.6 \text{ mL}\)[/tex], you can multiply the volume in fluid ounces by this conversion factor to convert it to milliliters.
3. Calculate the volume in milliliters:
[tex]\[
1.32 \, \text{fl. oz.} \times 29.6 \, \text{mL/} \text{fl. oz.} = 39.072 \, \text{mL}
\][/tex]
4. Round (if needed):
Considering typical rounding based on significant figures, you would round [tex]\(39.072 \, \text{mL}\)[/tex] to [tex]\(39.1 \, \text{mL}\)[/tex].
Therefore, Rebekah should report the volume of her solution as [tex]\(39.1 \, \text{mL}\)[/tex] in the metric system.
Here's how you can perform the conversion step-by-step:
1. Identify the given value in fluid ounces:
Rebekah has [tex]\(1.32\)[/tex] fluid ounces of sugar solution.
2. Use the conversion factor:
Since [tex]\(1 \text{ fl. oz.} = 29.6 \text{ mL}\)[/tex], you can multiply the volume in fluid ounces by this conversion factor to convert it to milliliters.
3. Calculate the volume in milliliters:
[tex]\[
1.32 \, \text{fl. oz.} \times 29.6 \, \text{mL/} \text{fl. oz.} = 39.072 \, \text{mL}
\][/tex]
4. Round (if needed):
Considering typical rounding based on significant figures, you would round [tex]\(39.072 \, \text{mL}\)[/tex] to [tex]\(39.1 \, \text{mL}\)[/tex].
Therefore, Rebekah should report the volume of her solution as [tex]\(39.1 \, \text{mL}\)[/tex] in the metric system.
