INDEX
Complex Numbers
Exponentiation
Algebraic Transformations
Algebraic Equations and Inequalities
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Numbers and Sets
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Introduction

About Algebra

Arithmetic Operations

Addition and Subtraction

Multiplication and Division

Criterions for Divisibility

Real Number System

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions

Absolute Values

Graphical Illustrations

Sets and Intervals

Sets

Subsets

Operations with Sets

Intervals



Addition and Subtraction
Key Topics Remaining: Multiplication and Division » Criterions for Divisibility » Types of Numbers » Geometric Interpretation of Real Numbers » Properties of Real Numbers » Fractions » Absolute Values » Sets » Intervals

The addition of two numbers,  a  and  b, is denoted by

a + b = c,

where  c  is the result of addition of  a  and  b  (or the sum of  a  and  b); the quantities  a  and  b  are called addends.

The subtraction of  b  from  a  is denoted by

a – b = c,

where  c  is the result of subtraction (or the difference between  a  and  b);  a  is called the subtrahend.

The operation of subtraction can be expressed in terms of addition:

a – b = a +  (–b ).

That is, to subtract  b  means to add the negative of  b.

The operations of addition and subtraction are related. So the definition of subtraction can be reformulated like below.


The difference  a – b  is a number  c  such that
c = a – b     =>     c + b = a


Examples
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