Question

1. how many mm are in 5 km? hint: use must use three of the equalities to make conversion factors to solve this problem. (5 points) show all your work! if conversion factors are not used, the correct answer is only worth 2 points.

Explanation:

Step1: Convert km to m

We know that \(1\space km = 1000\space m\), so the conversion factor is \(\frac{1000\space m}{1\space km}\). For \(5\space km\), we have \(5\space km\times\frac{1000\space m}{1\space km}=5000\space m\).

Step2: Convert m to cm

We know that \(1\space m = 100\space cm\), so the conversion factor is \(\frac{100\space cm}{1\space m}\). For \(5000\space m\), we have \(5000\space m\times\frac{100\space cm}{1\space m}=500000\space cm\).

Step3: Convert cm to mm

We know that \(1\space cm = 10\space mm\), so the conversion factor is \(\frac{10\space mm}{1\space cm}\). For \(500000\space cm\), we have \(500000\space cm\times\frac{10\space mm}{1\space cm}=5000000\space mm\).

Answer:

\(5000000\space mm\)