Question

A student sets up the following equation to convert a measurement.

Answer 1

Answer:

$\frac{1 m}{100 cm}$

Explanation:

The final answer has a different set of units. In particular, meters (m) changes to centimeters (cm). To make this change, you need to multiply the first value by proportions.

When writing these proportions, it is important that they are arranged in a way that allows for the cancellation of units. For instance, since m is located in the denominator, it must be located in the numerator of the conversion.

Proportion:

1 m = 100 cm

The full expression:

$-1.7*10^5\frac{V}{m}$  ·  $\frac{1 m}{100 cm}$  =  $? \frac{V}{cm}$

                ^

As you can see, the old unit (m) cancels out and you are left with cm in the denominator.