Question

Write the conversion factor for converting meters to centimeters.

Answer 1

Answer:

1 meter = 100 centimeter

Step-by-step explanation:

A conversion factor is a numerical value that we use to change one set of unit to another set by performing actions like multiplication or division. When we are converting something, we must use the appropriate conversion factor of an equal value. Few conversions are :

1 meter = 100 centimeter

1 kilometer = 1000 meter

1 foot = 12 inches

1 gallon = 4.54 liters

We want the conversion factor for converting meters to centimeters. this is 1 m = 100 cm.

Answer 2

  1 meter = 100 centimeters. 
Therefore, centimeter/meter = 1/100, or 100*centimeter/meter = 1. 

Thus, to convert "x" meters into centimeters, you write: 

x meter = x*100*centimeter*meter/meter. 

At this point, the "meter" cancel out, and you get: 

x meter = 100*x centimeters. 

This technique is called dimensional analysis, and it is very useful. All you are doing is multiplying by 1, and that takes care of the units.