Table of Contents
What are Integers?
Integers are numbers that can be written without a decimal point. Integers include the whole numbers (0, 1, 2, 3, 4, 5, etc.), as well as their negatives (0, -1, -2, -3, -4, -5, etc.).
| S.NO | CONTENT |
| 1. | INTRODUCTION |
| 2. | DIFFERENCE BETWEEN INTEGERS AND NUMBERS |
| 3. | PROPERTIES OF INTEGERS |
| 4. | PROPERTY 1 |
| 5. | PROPERTY 2 |
| 6. | PROPERTY 3 |
| 7. | PROPERTY 4 |
| 8. | PROPERTY 5 |
| 9. | TYPES OF INTEGERS |
Difference Between Integers and Whole Numbers
Integers are numbers that can be written without a fractional component, while whole numbers are integers that include zero. For example, the integer 4 and the whole number 4 are the same number, while the integer -5 and the whole number -5 are different numbers.
Properties of Integers
Integers are whole numbers and their opposites. The set of integers is {…, -3, -2, -1, 0, 1, 2, 3, …}. Integers can be positive or negative.
Property 1: Closure Property
If a function is a closure, then it can access the variables in the enclosing function’s scope.
Property 2: Associative Property
For every number a there is a unique number b such that a + b = b + a.
Property 3: Commutative Property
For all real numbers a and b, a + b = b + a.
Property 4: Distributive Property
For any real numbers a, b, and c:
a(b+c) = ab+ac
Property 5: Identity Property
The identity property for addition states that the sum of any two numbers is the same as the other number.
Types of Integers
There are three types of integers: positive, negative, and zero.
Positive integers are numbers that are greater than zero. Negative integers are numbers that are less than zero. Zero is the number that is exactly equal to zero.
For more visit Multiplication and Division of Integers – Definition, Rules and Division of Integers
