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

a. Natural: $\sqrt{49}$ b. Whole: $0,\sqrt{49}$ c. Integer: $-7,0,\sqrt{49}$ d. Rational: $-7,-0.\overline{6},0,\sqrt{49}$ e. Irrational: $\sqrt{50}$ f. Real: all of them
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. --- -7 is a negative integer, all integers are rational $-0.\displaystyle \overline{6}=-\frac{6}{9}$ is a rational number $0$ is a whole number, an integer, rational $\sqrt{49}=7,$ natural, whole, integer, rational. $\sqrt{50 }$ is irrational a. Natural: $\sqrt{49}$ b. Whole: $0,\sqrt{49}$ c. Integer: $-7,0,\sqrt{49}$ d. Rational: $-7,-0.\overline{6},0,\sqrt{49}$ e. Irrational: $\sqrt{50}$ f. Real: all of them