Summary (Grade 12 NSC Matric Mathematics): Flashcards

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Natural numbers (N)

Counting numbers: 1, 2, 3, 4, 5...

Integers (Z)

Natural numbers, zero, and negative whole numbers

Rational numbers (Q)

Numbers expressible as fractions with integer parts

Irrational numbers

Cannot be expressed as simple fractions

Surd

Irrational number as a root that can't simplify to rational

Exponent multiplication rule: am×ana^m \times a^n

am+na^{m+n}

Exponent division rule: am÷ana^m \div a^n

am−na^{m-n}

Power of a power rule: (am)n(a^m)^n

amna^{mn}

Zero exponent: a0a^0 (where a≠0a \neq 0)

11

Negative exponent: a−na^{-n}

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

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