(100 PTS) Classify each real number. List all the subsets in which the number belongs.

Answer:
[tex]1) - \sqrt[3]{ - 64} [/tex]
Rational, Integer, Whole, Natural
[tex] 2) \frac{9\pi}{4} \: \: irrational[/tex]
[tex]3) \frac{ - 72}{3} [/tex]
Rational, Integer
[tex]4) \:1.999 = \frac{1999}{1000} \: \: rational [/tex]
[tex]5) \: \sqrt{24} \: \: \: irrational[/tex]
Step-by-step explanation:
[tex] 1)- \sqrt[3]{ - 64} = - ( - 4) = 4 [/tex]
Rational, Integer, Whole, Natural.
[tex] 2) \frac{9\pi}{4} \: [/tex]
Irrational
[tex]3) \: \frac{ - 72}{3} = - 24 \: [/tex]
Rational, Integer
[tex]4) \: 1.999 = \frac{1999}{1000} [/tex]
Rational
[tex]5) \: \sqrt{24 } = \sqrt{4} \times \sqrt{6} = 2 \sqrt{6} [/tex]
Irrational