# FOUNDATION MATHEMATICS MOUNT KENYA UNIVERSITY (MKU) NOTES

#### Introduction

The word “number” came from the Latin word “numerus” which mean “to apportion”, to assign, to allot, and to take. Therefore a number is something that measured the size of an allotment.
Numeral is any symbol that can represent a number. E.g. five is a number represented by numeral 5 or v.
There are various types of numbers – Natural numbers, Integers, Rational, Real and complex numbers.
In this course, we will just define complex numbers; however, other numbers systems will be studied in length by looking at its compositions, the algebra of real numbers properties in operation of real numbers and sets of real numbers.
Man started with counting numbers 1, 2, 3, 4, 5…10, 11, 12……………denoted by IN
These numbers are usually referred to as natural numbers or positive integers or positive whole numbers. They developed negative integers including zero ……………..-7, -6, -5, -4 -3 -2 -1, 0. When we combine the positive and negative integers we have the combination called integers or whole numbers. -7, -6, -5, -4 -3 -2 -1, 0 1, 2, 3, 4,5, 6 ,7,8 9, 10, 11, 12 ………., denoted by Z
Further development of fractions as part of a whole which is written as……

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