Since the foundational concepts for understanding decimal numbers depend on and are an extension of place value concepts, the work described previously regarding chip trading activities is applicable to decimal numbers. (If it has been some time since you read Chapter 3, you would find it helpful to go back now and re-read the section at the end of the chapter about chip trading.) It is necessary to extend the system of colored chips to allow them to represent amounts greater than zero but less than one. Take some time to consider the following problem: