# Business Mathematics – What Are Real Numbers?

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Real numbers are a set of all rational and irrational numbers, including whole numbers, integers, decimals, fractions and even nonterminating and nonrepeating decimals.

Real numbers occupy the topological space RmathbbR and can be ordered on a number line in a way compatible with addition and multiplication. More formally, they comprise an ordered field and have the least upper bound property.

### Basic Concepts

The field of business requires a great deal of financial acumen to keep operations running smoothly. Whether you are starting up your own small business or working in a large corporation, having a strong understanding of basic mathematics is essential for ensuring that your finances stay healthy and that you are taking advantage of the opportunities available to you.

Businesses use mathematic concepts in accounting, inventory management, marketing, sales forecasting and financial analysis. These include profit and loss, statistics, simple and compound interest, discount factors and depreciation, and loan calculations.

In addition to being a useful tool for business owners, mathematic skills are also used by many professionals in the fields of banking, accountants and tax consultants. These professionals need to have a solid understanding of the ins and outs of business money so that they can provide appropriate advice and solutions to their clientsâ€™ needs.

### Number Line

A number line is a visual representation of numbers on a horizontal line. It is a tool for comparing and ordering numbers as well as performing arithmetic operations such as addition and subtraction.

A closed number line has a fixed starting and ending point, while an open one can be extended in any direction. It can be blank or have markings to show whole numbers, fractions, decimals, negative integers, and irrational numbers.

Number lines help students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labeled with whole numbers, fractions, or decimals; use custom intervals; and add forward and backward jumps above or below the line.

### Irrational Numbers

In business mathematics, irrational numbers are those that cannot be expressed in a ratio of two integers. Rational numbers are those that can be written in the form p/q where p and q are integers and q does not equal to 0.

In the real number system, rational numbers include integers, fractions including mixed fraction, recurring decimals, finite decimals etc. They are the solution of polynomial equations like 2 and golden ratio.

The most common examples of irrational numbers are non perfect squares, such as pi and the square root of 2. These irrationals have infinitely long digits that do not repeat after the decimal point.

Irrational numbers are also used in geometry and trigonometry, when measuring distances, angles or areas of a given shape. They are also important for solving equations that have no solution in rational numbers.

### Variables

Variables are quantities that can vary based on the situation they represent. They are the opposite of constants, which have known, unchanging values.