Question

perform each of the following conversions using metric conversion factors.
part a
42.7 ml to liters
42.7 ml
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part b
8.69 m to nanometers

Explanation:

Part A

Step1: Recall metric conversion for volume.

We know that \(1\space L = 1000\space mL\), so the conversion factor from milliliters to liters is \(\frac{1\space L}{1000\space mL}\).

Step2: Multiply the given volume by the conversion factor.

To convert \(42.7\space mL\) to liters, we do \(42.7\space mL\times\frac{1\space L}{1000\space mL}\).
The \(mL\) units cancel out, and we calculate \(42.7\div1000 = 0.0427\).

Step1: Recall metric conversion for length.

We know that \(1\space m=10^{9}\space nm\) (since \(1\space nm = 10^{-9}\space m\), so the conversion factor from meters to nanometers is \(\frac{10^{9}\space nm}{1\space m}\)).

Step2: Multiply the given length by the conversion factor.

To convert \(8.69\space m\) to nanometers, we do \(8.69\space m\times\frac{10^{9}\space nm}{1\space m}\).
The \(m\) units cancel out, and we calculate \(8.69\times10^{9}=8.69\times10^{9}\space nm\) (or \(8690000000\space nm\)).

Answer:

\(0.0427\space L\)

Part B