## Introductory Algebra for College Students (7th Edition)

Examples of rational numbers that are NOT integers: $0.1, 3.25, \displaystyle \frac{1}{2}, \frac{3}{4}...$
The set of natural numbers is { 1, 2, 3, 4, 5, ... } . The set of whole numbers is { 0, 1, 2, 3, 4, 5, ... } The set of integers is {... , -4, -3, -2, -1,0, 1, 2, 3, 4,...} The set of rational numbers$: \displaystyle \frac{a}{b},\ b\neq 0$, and b integers Irrational numbers: are not rational (can not be written as $\displaystyle \frac{a}{b},\ b\neq 0$) Real numbers: all rational and irrational numbers. --- Examples of rational numbers that are NOT integers: $0.1, 3.25, \displaystyle \frac{1}{2}, \frac{3}{4}$ NOT $\displaystyle \frac{4}{2}=2, \\ \dfrac{12}{3}=4, \\1.0=1,...$