Long Descriptions for Chapter Three

Figure 3.3: Venn Diagram Model of the Major Number Systems Used Throughout Mathematics

Venn diagram that represents the number system. Counting numbers are nested in whole numbers, which are nested in integers, which are nested in rational numbers. The rational numbers and the irrational numbers make up the real numbers, which can be combined with imaginary numbers to make complex numbers. Examples of each type of number are listed as follows:

• Counting Numbers: 1, 2, 3, …
  
• Whole Numbers: 0
• Integers: –1, –2, –3, …
• Rational Numbers: 71 3/5, –3,521.57, 0.3333…
• Irrational Numbers: 2.010010001…, π, −∛15, √2
• Imaginary Numbers: i = √–1, –57i
• Complex Numbers: 6 ± 7i, –23 ± 2/3√i