Question

classify the numbers as rational or irrational.
-9
-6
-9·-6
rational
irrational

Explanation:

Step1: Define rational numbers

A rational number can be written as $\frac{p}{q}$, where $p,q$ are integers, $q
eq0$. Integers are rational.

Step2: Classify -9

-9 is an integer, so it is rational.

Step3: Classify -6

-6 is an integer, so it is rational.

Step4: Calculate and classify $-9 \cdot -6$

Calculate product: $-9 \times -6 = 54$. 54 is an integer, so it is rational.

Step5: Identify irrational numbers

None of the given numbers are non-terminating, non-repeating decimals (irrational).

Answer:

rational: -9, -6, $-9 \cdot -6$
irrational: (no numbers from the given set)