Real, Rational, and Irrational Numbers (Grade 10 NSC Matric Mathematics): Flashcards

Counting numbers: $\{1, 2, 3, 4, 5, ...\}$

Natural numbers plus zero: $\{0, 1, 2, 3, 4, 5, ...\}$

$\{..., -3, -2, -1, 0, 1, 2, 3, ...\}$

All numbers on a number line (rational & irrational)

$\frac{a}{b}$ where $a$, $b$ are integers and $b \neq 0$

Terminating or recurring decimals

Cannot be written as a fraction of integers

$\sqrt{2}$, $\sqrt{3}$, $\pi$, golden ratio

$\sqrt{-1}$, $\sqrt{-28}$ (square roots of negatives)

$10^n$ where $n$ = number of repeating digits