(P2) Fundamentals of Data Representation
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What information { } tell you?
Contains the objects within a set.
What is a natural number?
Positive integer (whole number), including 0.
What are natural numbers also known as?
Decimal or base 10.
How is the set or natural numbers defined?
N = { 0, 1, 2, 3… }
How do you indicate that a set is infinite?
…
What is a rational number?
A number that can be expressed as a fraction (also known as quotient).
What are fractions?
Fractions are made up of two integers, with the value being the ratio between the two.
What is the symbol for a rational number?
Q
What is the symbol for a natural number?
N
What category of number set do both natural and integer numbers fall into?
Rational numbers.
What is an irrational number?
Any number that cannot be represented as a ratio of integers because the decimal equivalent would go on forever without repeating.
What category of number set does recurring decimals fall into?
Rational numbers.
Give four examples of irrational numbers
Pi, Root 2, e (Euler’s number), Golden raito.
What is the symbol for irrational numbers?
There is no symbol.
What is the symbol for real numbers?
R
What category do all natural, integer, rational and irrational numbers fall into?
Real numbers.
What is the symbol for an integer?
Z
What is an integer?
A whole number whose value can be positive or negative.
How is the set of integer numbers defined?
Z = { … -3, -2, -1, 0, 1, 2, 3 … }
What is a real number?
Any positive or negative value and can include a fractional part.
What is the defining feature of a real number?
That the fractional part can be any length, allowing the number to represent a measurement to any level of precision or accuracy.
What is an ordinal number?
A number defining the position of something in a series.
What is a cardinal number?
A number denoting quantity.
What number is not a cardinal number?
0