Classifying Real Numbers

Real numbers include all the rational and irrational numbers, encompassing integers, whole numbers, fractions, and decimals.

Rational numbers are numbers that can be expressed as a fraction $$\frac{a}{b}$$ , where $$a$$ and $$b$$ are integers and $$b \neq 0$$ .

Irrational numbers are numbers that cannot be expressed as a fraction and have non-repeating, non-terminating decimal expansions.

False

Examples of irrational numbers include $$\pi$$ and $$\sqrt{2}$$ .

True

Rational numbers can be expressed as fractions, while irrational numbers cannot.

True

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).