Answer: see below
Step-by-step explanation:
Natural Numbers: 1, 2, 3, ..... ∞
Whole Numbers: 0, 1, 2, 3, ..... ∞
Integers: -∞ ..... -3, -2, -1, 0, 1, 2, 3, ..... ∞
Rationals: Includes fractions that terminate or repeat
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Irrationals: Numbers that do not terminate or repeat (this includes square roots that cannot be simplified)
1) 4: Natural, Whole, Integer, Rational
2) [tex]\sqrt6:[/tex] Irrational
3) π : Irrational
4) -6: Integer, Rational
5) 0: Whole, Integer, Rational
6) [tex]0.\overline6[/tex] → repeating decimal: Rational
7) [tex]-\sqrt{0.04}[/tex] → simplifies to -0.2: Rational
8) [tex]\sqrt{0.4}[/tex] → does not simplify: Irrational
