Question

classify the numbers as rational or irrational. 4 1 4 + 1 rational irrational

Explanation:

Step1: Recall the definition of rational numbers

A rational number is a number that can be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q
eq0$. Integers are rational numbers.

Step2: Analyze the number 4

4 is an integer, so it can be written as $\frac{4}{1}$, so 4 is rational.

Step3: Analyze the number 1

1 is an integer, so it can be written as $\frac{1}{1}$, so 1 is rational.

Step4: Analyze the number \(4 + 1\)

\(4+1=5\), 5 is an integer, so it can be written as $\frac{5}{1}$, so \(4 + 1\) is rational.

Answer:

rational: 4, 1, \(4 + 1\)
irrational: (empty, no numbers are irrational among the given ones)