Note: Answers require pop-up
windows to be enabled.

Question 1

Question 2

In the diagram below place the following numbers making sure you put them in their smallest set, for example 2 goes in
which implies its then in all the others.

MATH STUDIES

Custom Search

Number and Algebra

Simple Set Notation

Number sets:

The following are the different number sets you will see in the IB exams:

This is the set of all the Natural numbers { 0, 1, 2, 3, 4......}

This is the set of integers (whole numbers positive and negative); { ...-3, -2, -1, 0, 1, 2, 3 ...}

This is the set of rational numbers, that is numbers that can be written in the form

where a and b and b 0

examples -5, 0.5, , 100, etc.

is not a rational number.

This is the set of all real numbers from negative infinity to positive infinity. It is any number that can be put on the real number line

To check if it is a real number if you enter it into your
calculator and press
it will say NON REAL answer if not real.

An example of a non real number is

We can represent the above sets using a diagram:

This is an example of a Venn Diagram (See Section on Sets, logic and Probability).

Other useful set definitions:

Prime numbers : This is the set of all positive integers that are divisible only by itself
and 1.