Question

part a: metric prefixes conversion
convert the following measurements into the unit

1. 1. 2500 m → km
2. 2. 0.0045 km → m
3. 3. 4.5 × 10⁶ μm → m
4. 4. 0.009 s → ms
5. 5. 12,000 m → km

Explanation:

1. Convert 2500 m to km

Step1: Recall the conversion factor (1 km = 1000 m)

To convert meters to kilometers, divide by 1000 (or multiply by \(10^{-3}\)).

Step2: Perform the calculation

\(2500\ m\times\frac{1\ km}{1000\ m}=2.5\ km\)

Step1: Recall the conversion factor (1 km = 1000 m)

To convert kilometers to meters, multiply by 1000 (or multiply by \(10^{3}\)).

Step2: Perform the calculation

\(0.0045\ km\times\frac{1000\ m}{1\ km}=4.5\ m\)

Step1: Recall the conversion factor (\(1\ m = 10^{6}\ \mu m\))

To convert micrometers to meters, divide by \(10^{6}\) (or multiply by \(10^{-6}\)).

Step2: Perform the calculation

\(4.5\times 10^{6}\ \mu m\times\frac{1\ m}{10^{6}\ \mu m}=4.5\ m\)

Answer:

\(2.5\ km\)

2. Convert 0.0045 km to m