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Choose which group of sets the following number belongs to. Be sure to account for ALL sets.

2/5

A. Real numbers, rational numbers.
B. Real numbers, irrational numbers.
C. Rational numbers, natural numbers, integers.
D. Irrational numbers, natural numbers.

Respuesta :

luisejr77

Answer: OPTION A.

Step-by-step explanation:

It is important to remember that:

  • Rational numbers are those numbers that can be written in the following form:

       [tex]\frac{a}{b}[/tex]

       Where "a" and "b" are integers ([tex]b\neq 0[/tex])

  • By definition, Rational numbers are a subset of the Real Numbers.

Given the number:

[tex]\frac{2}{5}[/tex]

We can identify that it has the form [tex]\frac{a}{b}[/tex] and [tex]b\neq 0[/tex]. In this case:

[tex]a=2\\b=5[/tex]

Therefore,  [tex]\frac{2}{5}[/tex] belongs to these sets:

Real numbers, rational numbers

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