Table of Contents
A Little Understanding of Mathematics and its Branches
Mathematics is a field of study that is used to solve problems and to understand the world around us. It is a huge field that encompasses many different branches, including algebra, geometry, calculus, and statistics. Each branch of mathematics has its own set of techniques and methods that can be used to solve problems or to understand different concepts.
Algebra is the branch of mathematics that is used to solve equations and to solve problems that involve variables. Algebra is used in many different fields, including physics and engineering. Geometry is the branch of mathematics that is used to understand shapes and to solve problems that involve distances and angles. Geometry is used in many different fields, including architecture and physics. Calculus is the branch of mathematics that is used to understand rates of change and to solve problems that involve curves and surfaces. Calculus is used in many different fields, including physics and engineering. Statistics is the branch of mathematics that is used to understand and analyze data. Statistics is used in many different fields, including business and economics.
Arithmetics – Numbers and Operations
Numbers are symbols that represent quantities. The number zero (0) represents the quantity that is nothing. Positive numbers represent quantities that are greater than zero, and negative numbers represent quantities that are less than zero.
The number 1 represents the quantity that is one. The number 2 represents the quantity that is two, and so on.
The symbol + represents the operation of addition, and the symbol – represents the operation of subtraction.
The symbol × represents the operation of multiplication, and the symbol ÷ represents the operation of division.
Geometry-Shapes
There are many shapes in geometry, including points, lines, planes, and solids. Points are the simplest shapes, and they have no size or shape. Lines are two points connected by a straight path. Planes are two or more lines connected by a flat surface. Solids are three-dimensional shapes that have width, length, and depth. Some common solids are spheres, cubes, and pyramids.
Algebra
Find the value of the expression. -5x^2+9x-8
-5x^2+9x-8= -5x^2-8x+8
Difference Between Arithmetic and Algebra
Arithmetic is the mathematics of basic operations such as addition, subtraction, multiplication, and division. Algebra is the mathematics of equations and variables.