Summary (Grade 11 NSC Matric Mathematics): Flashcards

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Natural numbers (N\mathbb{N})

Counting numbers {1, 2, 3, ...}

Irrational numbers (Q′\mathbb{Q}')

Numbers that cannot be written as simple fractions

a0a^0 where a≠0a \neq 0

11

a−na^{-n} for a≠0a \neq 0

1an\frac{1}{a^n}

am×ana^m \times a^n (same base)

am+na^{m+n}

aman\frac{a^m}{a^n} (same base)

am−na^{m-n}

(am)n(a^m)^n

amna^{mn}

a1na^{\frac{1}{n}} equals

an\sqrt[n]{a}

Surds

Roots that cannot be simplified to rational numbers

an×bn\sqrt[n]{a} \times \sqrt[n]{b}

abn\sqrt[n]{ab}

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