## The Algebra of Real Numbers

Algebra begins with a systematic study of the operations and rules of arithmetic. The operations of addition, subtraction, multiplication and… Click here to read more

From basic to higher mathematics

Algebra begins with a systematic study of the operations and rules of arithmetic. The operations of addition, subtraction, multiplication and… Click here to read more

The numbers used to measure real-world quantities such as length, area, volume, speed, electrical charges, probability of rain, room temperature,… Click here to read more

Grouping or classifying is a familiar technique in the natural sciences for dealing with the immense diversity of things in… Click here to read more

In applied mathematics, very large and very small numbers are written in compact form by using integer powers of $$10$$…. Click here to read more

Numbers produced by a calculator are often inexact because the calculator can work only with a finite number of decimal… Click here to read more

Some scientific calculators can be set to round off all displayed numbers to a particular number of decimal places or… Click here to read more

In the later years of his life, the Italian scientist Galileo Galilei (1564 – 1642) wrote about his experiments with… Click here to read more

Often the value of a variable quantity depends on the values of several other quantities, for instance the amount of… Click here to read more

An algebraic expression is an expression formed from any combination of numbers and variables by using the operations of addition, subtraction,… Click here to read more

To find the sum of two or more polynomials, we use the associative and commutative properties of addition to group… Click here to read more

To multiply two or more monomials, we use the commutative and associative properties of multiplication along with the following properties… Click here to read more

When two or more algebraic expressions are multiplied, each expression is called a factor of the product. For instance, in… Click here to read more

If $$p$$ and $$q$$ are algebraic expressions, the quotient, or ratio, $$p/q$$ is called a fractional expression (or simply a… Click here to read more

Two or more fractions with the same denominator are said to have a common denominator. The following rules for adding… Click here to read more

The following rules for multiplication and division of fractions can be derived from the basic algebraic properties of real numbers… Click here to read more

A fraction that contains one or more fractions in its numerator and denominator is called a complex fraction. Examples are:… Click here to read more