Question

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.

Answer 1

Answer: OPTION A.

Explanation:

It is important to remember that:

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

`(a)/(b)`

Where "a" and "b" are integers (
`b\\eq 0`)

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

Given the number:

`(2)/(5)`

We can identify that it has the form
`(a)/(b)` and
`b\\eq 0`. In this case:

`a=2\\b=5`

Therefore,
`(2)/(5)` belongs to these sets:

Real numbers, rational numbers