Question

classify the numbers as rational or irrational.
6 9 6.9
rational irrational

Explanation:

A rational number can be written as $\frac{p}{q}$ where $p,q$ are integers, $q
eq0$. Integers and terminating decimals fit this definition. Irrational numbers cannot be expressed this way.

• 6 is an integer, so it is rational.
• 9 is an integer, so it is rational.
• 6.9 is a terminating decimal, which can be written as $\frac{69}{10}$, so it is rational. There are no irrational numbers in the given set.

Answer:

rational: 6, 9, 6.9
irrational: (no numbers from the given set)