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.
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