Answer
a) None; b) $0$; c) $-22, 0$; d) $-22, -\dfrac{10}{3}, 0, 5.2, \dfrac{3}{7}$; e) $\sqrt{15}$
Work Step by Step
We are given the set of numbers:
$\left\{\sqrt{15},-22,-\dfrac{10}{3},0, 5.2,\dfrac{3}{7}\right\}$
a) The set of natural numbers is $\{1,2,3,...\}$. There is no natural number in the given set.
b) The set of whole numbers is $\{0, 1,2,3,...\}$. The whole number in the set is:
$0$
c) The set of integer numbers is $\{-2,-1,0,1,2,...\}$. The integers in the given set are:
$-22,0$
d) The set of rational numbers contains all numbers that can be written in the form $\dfrac{p}{q}$, where $p,q$ are integers, $q\not=0$. The rational numbers in the given set are:
$-22, -\dfrac{10}{3}, 0, 5.2, \dfrac{3}{7}$
e) The irrational numbers are numbers which are not rational. The irrational number in the given set is:
$\sqrt{15}$
