Integers

 

First set of numbers that were discovered were Natural numbers (1,2,3,4,5…)Then when zero was added, it became whole numbers ( 0,1,2,3,4,5…). Then it was found that there were negative and positive numbers. Therefore the set of negative numbers, zero and positive numbers are called integers.

The set of integers, I = {……, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, ……}.

1) On the number line, the positive integers are shown on the right side of zero and negative integers on the left side of zero.

2) The opposite integers 1 and -1 are marked at the same distances from zero; so are 2 and -2; 3 and -3 and so on.

3) The arrows marked at both the ends of a number line, represent that the integers, both positive and negative are infinite.

 

Demonstration:

The number line representing the integers is as given below: