Real Numbers

The topic explains the rational numbers and their identification. Rational numbers will be explained as an umbrella term for integers, real, natural and whole numbers. Distinction between irrational and rational numbers will also be done here.

Any rational number can be represented on the number line. The denominator tells the number of equal parts into which the first unit has been divided. The numerator tells how many of these parts are considered.

This topic takes us through some properties of rational numbers. They are closed under addition, subtraction and multiplication. Rational numbers are commutative under addition, subtraction and multiplication but not in division.

There is a definite number of natural numbers between two natural numbers. But the number of rational numbers between two rational numbers is not definite. We can get countless rational numbers between any two given rational numbers.

This topic deals with the irrational numbers between two rational numbers. We will learn how to insert the irrational numbers by using a number line. We will discuss the various steps for representation.

This topic sheds lights on the representation of real numbers on the number line in brief. It illustrates the making of integers and rational numbers. It discusses how to represent irrational numbers with the steps by using pythagoras property.

In this topic, we will talk about the operations on real numbers. We will discuss various mathematical operations on them. We will learn addition, subtraction, multiplication and division operations with examples.