Centimeters (cm) and meters (m) are both common units of length or distance. This example problem demonstrates how to convert centimeters to meters using a conversion factor.

### Converting Centimeters to Meters Problem

Express 3,124 centimeters in meters.

Start with the conversion factor:

1 meter = 100 centimeters

Set up the conversion so the desired unit will be canceled out. In this case, we want m to be the remaining unit.

distance in m = (distance in cm) x (1 m/100 cm)

distance in m = (3124/100) m

distance in m = 31.24 m

**Answer:**

3124 centimeters is 31.24 meters.

### Converting Meters to Centimeters Example

The conversion factor may also be used to convert meters to centimeters (m to cm). Another conversion factor could be used, too:

1 cm = 0.01 m

It doesn't matter which conversion factor you use as long as the unwanted unit cancels out, leaving the one you want.

How many centimeters long is a 0.52 meter block?

cm = m x (100 cm/1 m) so that the meter unit cancels out

cm = 0.52 m x 100 cm / 1 m

**Answer:**

The 0.52 m block is 52 cm in length.