Answer:
Fourth option.
Sixth option.
Step-by-step 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:
[tex]\frac{a}{b}[/tex]
Where "a" and "b" are integers ([tex]b\neq 0[/tex]).
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {[tex]{0, 1, 2, 3...}[/tex]}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{[tex]{1, 2, 3...}[/tex]} or to the set of nonnegative integers {[tex]{0, 1, 2, 3...}[/tex]}, Every Natural number is a Rational number.
Based on this, since [tex]\frac{5}{9}[/tex] is in the form [tex]\frac{a}{b}[/tex] where [tex]a=5[/tex] and [tex]b=9[/tex], it is a Rational Number and therefore a Real number.
