Question

classify the numbers as rational or irrational.
4
-5
4·-5
rational
irrational

Explanation:

Step1: Define rational numbers

A rational number is any number that can be written as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq 0$. Integers are rational numbers (set $q=1$).

Step2: Classify 4

4 is an integer, so $\frac{4}{1}$, rational.

Step3: Classify -5

-5 is an integer, so $\frac{-5}{1}$, rational.

Step4: Classify $4 \cdot -5$

Calculate product: $4 \times (-5) = -20$, which is an integer, so $\frac{-20}{1}$, rational.

Answer:

Rational: 4, -5, $4 \cdot -5$
Irrational: (no numbers from the given set)