Is Every Rational Number a Real Number?

Statement: Every rational number is a real number. Answer: True.

• What is a Real Number?: A real number is any continuous value that can represent a distance along a physical number line. The collection of Real Numbers ($\mathbb{R}$) is essentially a giant bag that contains both Rational and Irrational numbers.
• What is a Rational Number?: A rational number is any number that can be expressed as a fraction $p/q$ (where $q \neq 0$). Examples include $1/2$, $5$, $-7$, and $0.333...$
• The Logic: Because the entire set of Rational Numbers is just one half of the Real Number family, every single rational number that exists automatically falls under the umbrella of Real Numbers.

To never get these questions wrong, remember this nesting structure (Russian doll structure):

1. Natural Numbers ($1, 2, 3...$) are inside...
2. Whole Numbers ($0, 1, 2...$), which are inside...
3. Integers ($-2, -1, 0, 1...$), which are inside...
4. Rational Numbers (fractions), which are inside...
5. REAL NUMBERS (The master category).