Note on Integers and rational numbers

Introduction to integers and rational numbers:
In the development of science, first we should know about the properties and operations on number which are very important in our daily life. In the earlier classes we have studied about number system and the fundamental operations on them. Now we extend our study on the number system in this subject. We have studied about natural numbers, whole number, integers and fractions and the four fundamental operations on them.

Definition of Natural number:
Counting numbers are called the natural numbers
N={1,2,3,……….} is the set of all natural number.
Definition of Whole numbers:
Natural numbers together with zero are called whole numbers
W={0,1,2,3……} is the set of all whole numbers.
Definitions of Integers:
Positive numbers, zero and negative numbers jointly form integers. We represent the set of integers by Z.
Therefore,
Z={ … – 3, – 2, – 1, 0, + 1, + 2, + 3, ….}
+ 1, + 2, + 3, … are called positive integers.
– 1, – 2, – 3, … are called negative integers.