# Number Systems

### Description

A-Levels Pure Mathematics Flowchart on Number Systems, created by Alex Burden on 24/04/2017.
Flowchart by Alex Burden, updated more than 1 year ago
 Created by Alex Burden over 6 years ago
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## Resource summary

### Flowchart nodes

• Number Systems
• Any number that can be expressed as a fraction is a rationalAny number that can not be expressed as a fraction is irrationalAny number that is the solution of an equation is algebraicAny number that is not the solution of an equation is transcendental
• Complex numbers are represented using this.If y=0 ⇒ Z=x
• Argand Diagram
• The modulus of Z: The argument of Z:
• Measured in radians and anticlockwise
• angles anticlockwise are positiveangles clockwise are negative
• Multiplication & Division
• Let Z˅1&Z˅2 be two complex numbers such that arg)Z˅1)=θ1 and arg(Z˅2)=θ2
• Loci in the Argand DiagramCircle with centre (a,b) and radius r has equation(x-a)^2+((y-b)^2=r^2
• Cartesian EquationThe Cartesian Equation of the locus of a point P is the equation that contains only x, y and constants

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