An integer is a whole number, meaning it can be positive, negative, or zero, but it has no fractional or decimal components. Examples of integers are: -3, 1, 4, 8, 22. Examples of numbers that are not integers are: 8.12, 5 9/4, -3.14 .
Integers are used to represent counting numbers and their negations. The different types of integers include:

Positive Integers

Numbers greater than zero, which are positive. Example: 1, 2, 3, 4, 5, ......... ∞

Negative Integers

Number less than zero, which is negative. Example: -1, -2, -3, -4, -5, .......... -∞

Zero('0')

The integer that represents the absence of any quantity, Zero is neither positive nor negative.

Natural numbers

Numbers greater than zero, i.e; without having zero. Example: 1, 2, 3, 4, 5, 6, ........ ∞

Whole numbers

The set of non-negative integers, with zero. Example: 0, 1, 2, 3, 4, 5, 6, 7, 8 ........ ∞

Rational numbers

Numbers that can be expressed as a fraction of two integers. Example: Rational number between 3 and 4 = (3+4)/2 = 7/2.

Note that integers are a subset of rational numbers, but rational numbers are not always integers.

Common Questions that are asked

1. What are integers?

Answer: An integer is a whole number, meaning it can be positive, negative, or zero, but it has no fractional or decimal components. Examples of integers are: -3, 1, 4, 8, 22.

2. Are all whole numbers integers?

Answer: Yes, all whole numbers are integers, but not all integers are whole numbers.because, the integers in negative numbers, 0 and positive numbers. Where as whole numbers consists of 0 and positive numbers excluding negative numbers. Examples

-3, 0, and 3 are all integers, but only 3 is a whole number.

5, 6, and 7 are all integers, all 5,6 and 7 are whole numbers.

-3, -2, and -5 are all integers, no whole numbers are present.

3. What is the difference between integers and real numbers?

Answer: Integers are a subset of real numbers and only include whole numbers i.e., numbers above 0 including 0, while real numbers include all numbers that can be expressed on the number line, including rational and irrational numbers.