Question

metric system review:
complete the following practice problems. be sure to use the metric staircase handout as a guide.length:

1. a chemist is 350 mm in length. what is the chemists length in kilometers?

1. to wire an electric chemical cell a chemist requires .065 meters (m) of wire. what is the length of wire in millimeters (mm)?

Explanation:

Problem 1:

Step1: Recall metric conversions

We know that \(1\space km = 1000\space m\), \(1\space m=1000\space mm\), so to convert from \(mm\) to \(km\), we first convert \(mm\) to \(m\) and then \(m\) to \(km\). The conversion factor from \(mm\) to \(m\) is \(\frac{1\space m}{1000\space mm}\) and from \(m\) to \(km\) is \(\frac{1\space km}{1000\space m}\). So the overall conversion factor from \(mm\) to \(km\) is \(\frac{1\space km}{1000\times1000\space mm}=\frac{1\space km}{10^{6}\space mm}\)

Step2: Apply the conversion

We have \(350\space mm\). To convert to \(km\), we multiply by the conversion factor: \(350\space mm\times\frac{1\space km}{10^{6}\space mm}\)
\[350\times\frac{1}{10^{6}} = \frac{350}{1000000}= 3.5\times 10^{- 4}\space km\]

Step1: Recall metric conversion for length

We know that \(1\space m = 1000\space mm\), so the conversion factor from \(m\) to \(mm\) is \(1000\space\frac{mm}{m}\)

Step2: Apply the conversion

We have \(0.065\space m\). To convert to \(mm\), we multiply by the conversion factor: \(0.065\space m\times1000\space\frac{mm}{m}\)
\[0.065\times1000 = 65\space mm\]

Answer:

\(3.5\times 10^{-4}\space km\)

Problem 2: