Answer
a) Natural Numbers: 5, 17, $\frac{40}{2}$
b) Whole Numbers: 0, 5, 17, $\frac{40}{2}$
c) Integers: -8, 0, 5, 17, $\frac{40}{2}$
d) Rational Numbers: -8, -0.6, 0, $\frac{3}{4}$, 5, $\frac{13}{2}$, 17, $\frac{40}{2}$
e) Irrational Numbers: -$\sqrt 5$, $\sqrt 3$, $\pi$
Work Step by Step
For the following answers, keep in mind that $\frac{40}{2}$ can be reduced to 20.
a) Natural Numbers: 5, 17, $\frac{40}{2}$
(The set of Natural Numbers includes {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ...})
b) Whole Numbers: 0, 5, 17, $\frac{40}{2}$
(The set of Whole Numbers includes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ...})
c) Integers: -8, 0, 5, 17, $\frac{40}{2}$
(The set of Integers includes {...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ...})
d) Rational Numbers: -8, -0.6, 0, $\frac{3}{4}$, 5, $\frac{13}{2}$, 17, $\frac{40}{2}$
(The set of Rational Numbers are all numbers that can be written in fractional form. This includes Natural Numbers, Whole Numbers, fractions, and repeating decimals using repetends)
e) Irrational Numbers: -$\sqrt 5$, $\sqrt 3$, $\pi$
(The set of Irrational Numbers are all numbers that cannot be written in fractional form. This will include square roots that are not perfect squares and pi.)
