Sketch a Venn diagram of the real number system, the rational number system and the irrational number system. Use the following notation: Real numbers = R Rational numbers = Q Irrational numbers = \( Q^{\prime} \)

In the world of numbers, the real number system is like a big party where everyone is invited! It includes all the rational numbers (Rational Rascals, aka \( Q \)), which can be expressed as fractions, like 1/2 or 3/4. But not everyone at the party is rational—some guests, known as irrational numbers (\( Q^{\prime} \)), like pi (π) or the square root of 2, refuse to be written as fractions. They’re just too wild to fit into neat boxes! When sketching a Venn diagram, draw one big circle labeled \( R \) for real numbers. Inside that, create another circle for \( Q \) (rational numbers) and place the \( Q^{\prime} \) (irrational numbers) outside of it but still within \( R \). This visually shows how \( Q \) is a subset of \( R \), while \( Q^{\prime} \) exists as its own unique character within the real number realm!