Question

check each set that includes the number shown. $\frac{5}{9}$
natural numbers
whole numbers
integers
rational numbers
irrational numbers
real numbers
done

Explanation:

• Natural numbers are positive counting numbers (1,2,3,...), so $\frac{5}{9}$ is not one.
• Whole numbers include 0 and natural numbers, so $\frac{5}{9}$ is not one.
• Integers are whole numbers and their negatives, so $\frac{5}{9}$ is not one.
• Rational numbers are numbers that can be written as $\frac{a}{b}$ where $a,b$ are integers and $b

eq0$, which fits $\frac{5}{9}$.

• Irrational numbers cannot be written as such a fraction, so $\frac{5}{9}$ is not one.
• Real numbers include all rational and irrational numbers, so $\frac{5}{9}$ is one.

Answer:

☑ rational numbers
☑ real numbers