Answer
The number $-0.568$, which is equal to $-\dfrac{568}{1000}$, is
a rational number and
a real number.
Work Step by Step
RECALL:
(i) Natural (or Counting) Numbers are $1,2,3,...$
(ii) Whole Numbers are $0,1,2,3,...$
(ii) Integers are $...,−3,−2,−1,0,1,2,3,...$
(iv) Rational Numbers are numbers that can be expressed as a quotient of two integers.
(v) Irrational Numbers are numbers that cannot be expressed as a quotient of two integers.
(vi) Real Numbers are the set of all rational and irrational numbers
Note that
$-0.568 = -\dfrac{568}{1000}$.
Thus, the number $-0.568$ is
a rational number and
a real number.