The Number System (Grade 12 NSC Matric Mathematics): Flashcards

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The Number System
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Natural numbers (NN)

Positive whole numbers for counting: 1, 2, 3, 4, 5, ...

Whole numbers (N0N_0)

Natural numbers including zero: 0, 1, 2, 3, 4, 5, ...

Integers (ZZ)

All whole numbers, positive and negative: ..., -2, -1, 0, 1, 2, ...

Rational numbers (QQ)

Numbers as ab\frac{a}{b}; aa, bb integers, b≠0b \neq 0

Types of rational numbers

Fractions, terminating decimals, recurring decimals

Irrational numbers (Q′Q')

Cannot be fractions; decimals never terminate or repeat

Real numbers (RR)

Set of all rational and irrational numbers combined

Non-real numbers

Result from square roots of negative numbers

Imaginary unit ii

i=−1i = \sqrt{-1}

Number system hierarchy

Natural ⊂ Whole ⊂ Integers ⊂ Rational ⊂ Real

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