Number Systems (AQA A-Level Computer Science): Flashcards

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Number Systems
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Natural numbers (ℕ)

Counting numbers starting from 0 (0, 1, 2, 3, ...)

Integer numbers (ℤ)

Whole numbers: positive, negative, or zero, no fractional part

Rational numbers (ℚ)

Numbers expressible as fractions (ratio of two integers)

Numerator in a fraction

The integer on top of the fraction

Denominator restriction in fractions

Cannot be zero; causes undefined result/divide by zero error

Irrational numbers

Cannot be expressed as ratio; decimal continues forever

Example of irrational number

π\pi (pi), approximately 227\frac{22}{7} or 3.14159...

Real numbers

Any positive/negative value including fractional part

What real numbers include

Integers, rational numbers, and irrational numbers

Ordinal vs cardinal numbers

Ordinal = position in list; Cardinal = size of list

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