The notion of a number is connected with the act of counting. So, the natural numbers 1, 2, 3, 4, 5, …… are also called counting numbers. We use ten symbols or digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to denote large numbers by using position of the digits in the given number.

What are integers?

The negative numbers, zero and the natural numbers together are called integers.

A collection of numbers which is written as …….. -4, -3, -2, -1, 0, 1, 2, 3, 4……… .

These numbers are called integers.

For example:

(i) -8, -2, 0, 2, 8

(ii) -7, -1, 0, 5, 12

(iii) -15, -9, 11, 21

(iv) -10, -3, 0, 9, 14

(v) -6, -4, 0, 7, 19

We usually represent numbers by making evenly spaced points one unit apart on a straight horizontal line which is called a number line. The line extends indefinitely to the left and to the right. A point O on the line, called the origin corresponds to the number 0. So, point A at a distance of 9 units to the right of zero represents the number 9 on the number line shown below.

Positive Numbers

What lies on the left of 0? Let us think about some of the familiar things to understand about the positive number and the negative number.

We very often hear that the temperature during winter went down to -2°. We know that the temperature in -2° is very cold, it is colder than 0°c. It means that -2 is smaller than 0. Let us see in a thermometer where -2 is located. It is marked below 0.

To measure the depth below the ground level we use negative numbers. Here, 0 indicated ground level. On a number line a number that is right to the 0 is positive and a number left side to the 0 is negative. So, we have a new set of numbers -1, -2, -3, -4, -5, ….. These are known as the negative numbers. 


On the number line there are positive numbers, negative numbers and 0. These are called integers. 0 is neither positive nor negative.

Integers on Number Line

The sign before the number indicates its direction to the right or left of 0. For example +5 indicates that the number lies to the right of 0 and -5 indicates that the number lies to the left of 0. Thus, integers are also called directed numbers. If a number has no sign it means that it is a positive integer.

Negative Integers

The negative numbers ………. -5, -4, -3, -2, -1 are called negative integers.

Thus, examples of negative integers are ……… -5, -4, -3, -2, -1.


We use the symbol ‘-’ to denote negative integers and the same symbol is used to indicate subtraction. But the context will always make it clear whether we mean negative integer or subtraction.

Positive Integers

The natural numbers 1, 2, 3, 4, 5, ……… are called positive integers.

Thus, examples of positive integers are 1, 2, 3, 4, 5, ………. .


Positive integers are also written as +1, +2, +3, +4, +5, ………… however, the plus sign (+) is usually omitted and understood.

The number 0 is simply an integer. It is neither positive nor negative.

● Integers

Representation of Integers on a Number Line.

Addition of Integers on a Number Line.

Rules to Add Integers.

Rules to Subtract Integers.

5th Grade Numbers Page 

5th Grade Math Problems 

From Integers to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Share this page: What’s this?

Recent Articles

  1. Fraction as a Part of Collection | Pictures of Fraction | Fractional

    Feb 24, 24 04:33 PM

    Pictures of Fraction
    How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

    Read More

  2. Fraction of a Whole Numbers | Fractional Number |Examples with Picture

    Feb 24, 24 04:11 PM

    A Collection of Apples
    Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…

    Read More

  3. Identification of the Parts of a Fraction | Fractional Numbers | Parts

    Feb 24, 24 04:10 PM

    Fractional Parts
    We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

    Read More

  4. Numerator and Denominator of a Fraction | Numerator of the Fraction

    Feb 24, 24 04:09 PM

    What are the numerator and denominator of a fraction? We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line.

    Read More

  5. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 24, 24 10:59 AM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More