Answer
(a) $\sqrt16$
(b) $-500,\sqrt16,-\frac{20}{5}$
(c) $1.3, 1.333..., 5.34, -500, 1\frac{2}{3}, \sqrt16, \frac{246}{579}, -\frac{20}{5}$
(d) $\sqrt5$
Work Step by Step
(a) Natural numbers are positive integers, so $\sqrt16=4$ qualifies.
(b) Integers are positive or negative whole numbers and zero, so these numbers qualify: $-500, \sqrt16=4, -\frac{20}{5}=-4$
(c) Rational numbers are those that can be expressed as a ratio of integers.
$1.3=13/10$, so it qualifies.
$1.33\bar3=4/3$, so it qualifies.
$5.34=534/100$, so it qualifies.
$-500=-500/1$, so it qualifies.
$1\frac{2}{3}=5/3$, so it qualifies
$\sqrt16=4$, so it qualifies.
$246/579$ qualifies.
$-\frac{20}{5}$ qualifies.
(d) Irrational numbers can not be expressed as ratios of integers, so $\sqrt5$ qualifies.
