Comparison of Integers

We know that on a number line the number on the right is always greater than the number on the left. Same applies for integers also.  -1 > -2, -2 > -3 and so on.

Integers on Number Line

From the above number line we can say that 0 separates the positive and negative integers. 0 is on the left of all the positive integers. So, 0 is less than every positive integer. 0 is on the right of all the negative integers. So, 0 is greater than every negative integer. All the positive integers are greater than negative integers.

Comparison of integers: When we represent integers on the number line, we observe that the value of the number increases as we move towards right and decreases as we move towards left. 

Comparison of Integers

                                             1 < 2 < 3 …..             

                                            -1 > -2 > ……

The whole numbers are on the right side of the 0 and in the left side of the 0 there are negative numbers.


Note:

(i) Zero is less than every positive integer, and greater than every negative integer. Zero is neither positive nor negative.

For example, 0 < 1, 0 < 10, etc.

Also 0 > -1, 0 > -5, etc.


(ii) Every positive integer is greater than every negative integer.

For example, 2 > -2, 2 > -1, 1 > -1 etc.

(iii) There is no greatest or smallest integer.

(iv) The smallest positive integer is 1 and the greatest negative integer is -1. 


Solved Examples on Comparison of Integers:

1. Which is greater +1 or -6?

Solution:

Since +1 lies to the right of 0 on the number line. +1 is greater than -6.


2. Which is greater -27 or -34?

Solution:

-34 is 34 units away to the left of 0. -27 is 27 units away to the left of 0. So, -27 is to the right of -34. -27 > -34.


3. Arrange +27, -32, +16 and -12 in ascending order.

Solution:

Let us mark the integers on the number line.

Comparison of Integers

Thus, the integers in ascending order are -33, -15, +18, +29



 Numbers - Integers

Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification


 Numbers - Worksheets

Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Worksheet on Simplification










7th Grade Math Problems

From Comparison of Integers to HOME PAGE




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.



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.

Share this page: What’s this?

Recent Articles

  1. What is a Triangle? | Types of Triangle | Scalene Triangle | Isosceles

    Jun 17, 24 11:22 PM

    What is a triangle
    A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle. The above shown shapes are triangles. The symbol of a triangle is ∆. A triangle is a polygon with three s…

    Read More

  2. Interior and Exterior of an Angle | Interior Angle | Exterior Angle

    Jun 16, 24 05:20 PM

    Interior of an Angle
    Interior and exterior of an angle is explained here. The shaded portion between the arms BA and BC of the angle ABC can be extended indefinitely.

    Read More

  3. Angles | Magnitude of an Angle | Measure of an angle | Working Rules

    Jun 16, 24 04:12 PM

    Naming an Angle
    Angles are very important in our daily life so it’s very necessary to understand about angle. Two rays meeting at a common endpoint form an angle. In the adjoining figure, two rays AB and BC are calle

    Read More

  4. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Jun 16, 24 02:34 PM

    Square - Polygon
    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More

  5. Simple Closed Curves | Types of Closed Curves | Collection of Curves

    Jun 16, 24 12:31 PM

    Closed Curves Examples
    In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.

    Read More