Integer – Definition – Examples

The term “Integer” originated from Latin. “Integer” means whole.

Integers are set of whole numbers and negative numbers.

Here, we are discuss about integers in brief.

Definition:

Example: 3, 4, -6, -357, -4657, 98523, all are integers.

 The set of integers is denoted by symbol “Z”.

Z = {…..-3, -2, -1, 0, 1, 2, 3, 4, 5,…..}

Note: Integers are (Counting numbers + Zero + Negative numbers).

Type of Integers

Integers are comes in three types

(i) Zero (0)

(ii) Positive Integers

(iii) Negative Integers

Zero is neither a positive integer nor a negative integer.

Positive Integers: An integer is positive, if it is greater than zero.

Positive integers are called counting numbers or natural numbers.

These integers are sometimes denoted by (Z+).

Example: Z+ = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,…..)

Negative Integers: An integer is negative, if it is less than zero.

The negative integers are negative of natural numbers.

These integers are sometimes denoted by (Z-).

Z- = (-1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25,…..)

1/2, 99/5, 3/5, 2.3, 7.91 all are not integers because these are either fraction or have decimal part.

This is a number line for Integers.

Positive integers are lie on the right side of the 0 on number line.

Negative integers are lie on the left side of the 0 on number line.