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.
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.
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.
Thus, the integers in ascending order are 33, 15, +18, +29
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We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.
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Practice the questions given in the worksheet on integers and the number line. The questions are based on integers and how to find the integers using a number line. I. Using the following number line, fill in the blanks:
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
● 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
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