Intermediate Algebra, Chapter 1, 1.1, Section 1.1, Problem 22

List the numbers in the following set that are elements of each set.

$\displaystyle \left \{ -8, - \sqrt{5}, -0.6, 0, \frac{3}{4}, \sqrt{3}, \pi, 5, \frac{13}{2}, 17, \frac{40}{2} \right \}$

a.) Natural Numbers

Based from the given set, the natural numbers are $5,17$ and $\displaystyle \frac{40}{2}$ or $20$.

b.) Whole Numbers

Based from the given set, the whole numbers are $0,5,17$ and $\displaystyle \frac{40}{2}$ or $20$.

c.) Integers

Based from the given set, the integers are $-8,0,5,17$ and $\displaystyle \frac{40}{2}$ or $20$.

d.) Rational Numbers

Based from the given set, the rational numbers are $\displaystyle -8,-0.6, \frac{3}{4},5, \frac{13}{2},17$ and $\displaystyle \frac{40}{2}$.

e.) Irrational Numbers

Based from the given set, the irrational numbers are $- \sqrt{5}, \sqrt{3}$ and $\pi$.

f.) Real Numbers

Based from the given set, all are real numbers.