Question

what is the correct metric relationship between milliliters and microliters?
1 milliliter = 100 microliters
1,000 milliliters = 1 microliter
1 milliliter = 1,000 microliters
1,000,000 milliliters = 1 microliter
1 milliliter = 1,000,000 microliters

Explanation:

To determine the metric relationship between milliliters (mL) and microliters (μL), we use the metric prefixes. The prefix "milli-" represents a factor of \(10^{-3}\) and "micro-" represents a factor of \(10^{-6}\).

1 milliliter is equal to \(10^{-3}\) liters, and 1 microliter is equal to \(10^{-6}\) liters. To find the relationship between milliliters and microliters, we can convert liters to both units:

If \(1\space mL = 10^{-3}\space L\) and \(1\space \mu L = 10^{-6}\space L\), then we can find how many microliters are in a milliliter by dividing the two:

\(\frac{1\space mL}{1\space \mu L}=\frac{10^{-3}\space L}{10^{-6}\space L}=10^{3} = 1000\)

So, \(1\space mL = 1000\space \mu L\).

Now let's check the options:

• Option 1: \(1\space milliliter = 100\space microliters\) is incorrect (should be 1000).
• Option 2: \(1,000\space milliliters = 1\space microliter\) is incorrect (1 mL is 1000 μL, so 1 μL is 0.001 mL).
• Option 3: \(1\space milliliter = 1,000\space microliters\) is correct.
• Option 4: \(1,000,000\space milliliters = 1\space microliter\) is incorrect (way too large a conversion).
• Option 5: \(1\space milliliter = 1,000,000\space microliters\) is incorrect (way too large a conversion).

Answer:

C. 1 milliliter = 1,000 microliters (assuming the options are labeled A to E with the third option being C; if the original options have different labels, adjust accordingly, but based on the list, the correct one is "1 milliliter = 1,000 microliters")