Topics	Exploring whole numbers ( Number Operations & Number Theory ) Term    : 1  Module : 1 - Capturing Data  Unit 1      : Numbers Made Easy  (  History Of Numbers ) Sets Of Numbers
Sets	A Set is a collection of items. Items within a set are enclosed within curly brackets eg. { 1,2,3] In mathematics different types of numbers belong to different sets as follows:
Natural Numbers	These are the numbers we count with and does not include zero. {1, 2, 3, 3, 4, ......}
Whole Numbers	These are the numbers we count with including zero. Note no negatives numbers belong to this set.  {0, 1, 2, 3, 3, 4, ......}
Integers	This is the set of all whole numbers as well as the negatives of these whole numbers including zero. (note zero is neither positive nor negative). {.....,-4, -3, -2, -1, 0, 1, 2, 3, 3, 4, ......}
Cardinal Numbers	These are the numbers we refer to when we count. An example of this is if we count the amount of elements within a set. eg. five sheep.  {1, 2, 3, 3, 4, ......}
Ordinal Numbers	These are the numbers we refer to when we put items in order. An example of this is if we sort numbers in ascending order. eg. 1st. , 2nd. , 3rd.    etc.
Rational Numbers	Rational numbers are numbers that can be expressed as ratios, fractions (or parts of a whole). These include integers since an integer is also a fraction with a denominator of 1.
Real Numbers	These numbers corresponds to all points on the number line, such as the decimal numbers. Most real numbers, or decimal can be expressed as fractions, except non terminating, non repeating decimals which are called irrational numbers.
Irrational Numbers	Irrational numbers are numbers that cannot be expressed as the ratio of two integers. The ratio of the circumference of a circle (total length around) to its diameter is known by the name pi (π). The value of π can be calculated, but has no determinate (final) result. Depending on how long you calculate, the value of π can be expressed as 3.14 or 3.1416 or 3.14159265 or 3.141592653589793.
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