Question

Check each set that includes the number shown.


`(5)/(9)`
natural numbers
whole numbers
intergers
rational numbers
irrational numbers
real numbers

Answer 1

Fourth option.

Sixth option.

Explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

`(a)/(b)`

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

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {
`{0, 1, 2, 3...}`}. Every Whole number is a Rational number.

- Natural numbers contain the set of positive integers{
`{1, 2, 3...}`} or to the set of nonnegative integers {
`{0, 1, 2, 3...}`}, Every Natural number is a Rational number.

Based on this, since
`(5)/(9)` is in the form
`(a)/(b)` where
`a=5` and
`b=9`, it is a Rational Number and therefore a Real number.