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


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. 4th Grade Mental Math on Roman Numerals | Roman Numerals Quiz

    Feb 23, 24 03:55 PM

    In 4th grade mental math on numbers, students can practice different questions on write the Hindu-Arabic numerals, write the Roman Numerals, comparison of roman numerals, addition of roman numerals.

    Read More

  2. 4th Grade Mental Math on Numbers | Mental Math 4th Grade with Answers

    Feb 23, 24 02:24 PM

    4th Grade Mental Math on Numbers
    In 4th grade mental math on numbers, students can practice different questions on numbers in figures, number name, place value, face value, comparison of number and formation of greatest and smallest…

    Read More

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

    Feb 23, 24 01:28 PM

    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

  4. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Feb 22, 24 04:15 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  5. Roman Symbols | What are Roman Numbers? | Roman Numeration System

    Feb 22, 24 02:30 PM

    Roman Numbers
    Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

    Read More