Question

Find the resulting unit of measure. (meters) \(\cdot\) (kilometers per meter)

Short answer

The resulting unit of measure is kilometers (km).

Step-by-step solution

Identify relevant units and operations

In this case, we are dealing with the multiplication of two units of measure: meters (m) and kilometers-per-meter (km/m).

Apply mathematical operations

The unit for kilometers-per-meter is essentially a fraction with kilometers on top and meters on the bottom, divided by the per symbol. When we multiply the meters (from the left) by kilometers-per-meter (from the right), we are basically multiplying meters by the fraction kilometers divided by meters. This results in the meters on top (from the left) and the meters on the bottom (from the right) canceling out. This leaves us with the unit: kilometers.

Present resulting unit of measure

With the meters canceled out during the multiplication, only kilometers is left. Therefore, the resulting unit of measure is kilometers (km).