Introductory Algebra for College Students (7th Edition)

a. Natural: $\sqrt{64}$ b. Whole: $0,\sqrt{64}$ c. Integer: $-11,0,\sqrt{64}$ d. Rational: $-11,-\displaystyle \frac{5}{6},0,0.75,\sqrt{64}$ e. Irrational: $\sqrt{5},\pi$ 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. --- $-11$ is a negative integer, all integers are rational $-\displaystyle \frac{5}{6}$ is a rational number $0$ is a whole number, an integer, rational $0.75=\displaystyle \frac{75}{100}$, a rational number $\sqrt{5 }$ is irrational $\pi$ is irrational $\sqrt{64}=$8, natural, whole, integer, rational. a. Natural: $\sqrt{64}$ b. Whole: $0,\sqrt{64}$ c. Integer: $-11,0,\sqrt{64}$ d. Rational: $-11,-\displaystyle \frac{5}{6},0,0.75,\sqrt{64}$ e. Irrational: $\sqrt{5},\pi$ f. Real: all of them