# UNIT I

# Mathematical Introduction

1. Numbers, Exponents, and Logarithms

1 | Numbers, Exponents, and Logarithms |

## 1.1. NUMBERS

It is essential to understand numbers and their fractions and decimals in finance. Interest rates, time, and financial ratios are commonly expressed by fractions and decimals, and that is where most of the common mistakes are made, especially when it comes to working out computational problems. The common numbers we normally see and use, such as 3, −5, and 0, are called **whole numbers** or **integers** (see Figure 1.1). Along with their partials or fractions, they form what are called **rational numbers**. Conversely, **irrational numbers** are those numbers that cannot terminate or repeat, such as and *e*. Both rational and irrational numbers are called **real numbers** and stand opposite to unreal or **imaginary numbers**, such as the square root of a negative 1 and its multiples, such as .

## 1.2. FRACTIONS

A **fraction** is a part of a whole, expressed as a numerator (the number on top of a division line) divided by a denominator (the number on the bottom). A fraction such as

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